Quiz 6--Work, Gravitation, Circular Motion, Torque. (60 pts available, 50 points possible)

Size: px
Start display at page:

Download "Quiz 6--Work, Gravitation, Circular Motion, Torque. (60 pts available, 50 points possible)"

Transcription

1 Name: Class: Date: ID: A Quiz 6--Wok, Gavitation, Cicula Motion, Toque. (60 pts available, 50 points possible) Multiple Choice, 2 point each Identify the choice that best completes the statement o answes the question. 1. What is the tem fo the net foce diected towad the cente of an object s cicula path? a. centifugal foce b. obital foce c. centipetal foce d. cicula foce 2. A ca on a olle coaste loaded with passenges has a mass of kg. At the lowest point of the tack, the adius of cuvatue of the tack is 24 m and the olle ca has a tangential speed of 17 m/s. What centipetal foce is exeted on the olle ca at the lowest point? a N b N c N d N 3. A hoizontal foce of 200 N is applied to move a 55 kg television set acoss a 10 m level suface. What is the wok done by the 200 N foce on the television set? a J b. 550 J c J d J 4. What is the common fomula fo wok? Assume that W is the wok, F is a constant foce, v is the change in velocity, and d is the displacement. a. W Fd 2 b. W F v c. W Fd d. W F 2 d 5. A ca on a olle coaste loaded with passenges has a mass of kg. At the lowest point of the tack, the adius of cuvatue of the tack is 24 m and the olle ca has a tangential speed of 17 m/s. What is the centipetal acceleation of the olle ca at the lowest point on the tack? a. 10 m/s 2 b. 12 m/s 2 c. 11 m/s 2 d. 14 m/s 2 6. How much wok is done on a bookshelf being pulled 5.00 m at an angle of 37.0 fom the hoizontal? The magnitude of the component of the foce that does the wok is 43.0 N. a J b J c. 205 J d. 215 J 7. Which of the following enegy foms is associated with an object in motion? a. kinetic enegy b. nonmechanical enegy c. potential enegy d. elastic potential enegy 8. A pofessional skie stats fom est and eaches a speed of 56 m/s on a ski slope angled 30.0 above the hoizontal. Using the wok-kinetic enegy theoem and disegading fiction, find the minimum distance along the slope the skie would have to tavel in ode to each this speed. a. 30 m b. 300 m c. 320 m d. 32 m 9. A 35 kg child moves with unifom cicula motion while iding a hose on a caousel. The hose is 3.2 m fom the caousel s axis of otation and has a tangential speed of 2.6 m/s. What is the child s centipetal acceleation? a. 21 m/s^2 b m/s^2 c. 210 m/s^2 d. 2.1 m/s^2 10. If you want to open a swinging doo with the least amount of foce, whee should you push on the doo? a. in the middle b. as fa fom the hinges as possible c. close to the hinges d. It does not matte whee you push. 11. Which of the following quantities measues the ability of a foce to otate o acceleate an object aound an axis? a. axis of otation b. leve am c. toque d. tangential foce 12. Which of the following can be a centipetal foce? a. gavity b. tension c. fiction d. all of the above 13. The centipetal foce on an object in cicula motion is a. in the same diection as the centipetal acceleation. b. in the diection opposite the tangential speed. c. in the same diection as the tangential speed. d. in the diection opposite the centipetal acceleation. 14. A 61.5 kg student sits at a desk 1.25 m away fom a 70.0 kg student. What is the magnitude of the gavitational foce between the two students? (G N m 2 /kg 2 ) a N b N c N d N 1

2 Name: ID: A 15. A woke pushes a box with a hoizontal foce of 50.0 N ove a level distance of 5.0 m. If a fictional foce of 43 N acts on the box in a diection opposite to that of the woke, what net wok is done on the box? a. 3.5 J b. 35 J c. 32 J d. 3.2 J 16. A 35 kg child moves with unifom cicula motion while iding a hose on a caousel. The hose is 3.2 m fom the caousel s axis of otation and has a tangential speed of 2.6 m/s. What is the centipetal foce on the child? a. 74 N b. 740 N c N d. 7.4 N A child ides a bicycle in a cicula path with a adius of 2.0 m. The tangential speed of the bicycle is 2.0 m/s. The combined mass of the bicycle and the child is 43 kg. 17. What is the magnitude of the centipetal foce on the bicycle? a. 86 N b. 43 N c. 4.0 N d. 3.7 kn 18. What is the magnitude of the bicycle s centipetal acceleation? a. 8.0 m/s 2 b. 2.0 m/s 2 c. 1.0 m/s 2 d. 4.0 m/s What kind of foce povides the centipetal foce on the bicycle? a. nomal foce b. fiction c. ai esistance d. gavitational foce 20. Gavitational potential enegy is always measued in elation to a. a zeo level. b. kinetic enegy. c. mechanical enegy. d. total potential enegy. 21. When an object is moving with unifom cicula motion, the centipetal acceleation of the object a. is diected towad the cente of motion. b. is zeo. c. is pependicula to the plane of motion. d. is cicula. 22. Which of the following is the ate at which wok is done? a. powe b. mechanical enegy c. kinetic enegy d. potential enegy 23. Which of the following equations expesses Newton s law of univesal gavitation? a. F c mv t 2 b. F g G m 1 m 2 2 c. F g m 1 m 2 d. g G m E Wok is done when a. the displacement is not zeo. b. the foce and displacement ae pependicula. c. the foce is zeo. d. the displacement is zeo. 25. When calculating the gavitational foce between two extended bodies, you should measue the distance a. fom the cente of one body to the closest point on the othe body. b. fom the cente of each body. c. fom the most distant points on each body. d. fom the closest points on each body. 26. A foce does wok on an object if a component of the foce a. paallel to the displacement of the object moves the object along a path that etuns the object to its stating position. b. pependicula to the displacement of the object moves the object along a path that etuns the object to its stating position. c. is pependicula to the displacement of the object. d. is paallel to the displacement of the object. 27. Which of the following equations expesses the wok-kinetic enegy theoem? a. W net PE b. W net KE c. W KE d. ME i ME f 28. A child moving at constant velocity caies a 2 N ice-ceam cone 1 m acoss a level suface. What is the net wok done on the ice-ceam cone? a. 20 J b. 2 J c. 0.5 J d. 0 J 29. What is the efficiency of a machine that equies J of input enegy to do 35 J of wok? a. 35% b. 65% c. 29% d. 2.9% 30. Which of the following enegy foms is associated with an object due to its position? a. total enegy b. positional enegy c. potential enegy d. kinetic enegy 2

3 ID: A Quiz 6--Wok, Gavitation, Cicula Motion, Toque. (60 pts available, 50 points possible) Answe Section MULTIPLE CHOICE 1. ANS: C DIF: I OBJ: ANS: B N m kg v t 17 m/s 24 m F c mv t ˆ kg Á ( 17 m/s ) 2 24 m N 3. ANS: C F 200 N d 10 m W Fd ( 200 N) ( 10 m) J DIF: IIIA OBJ: ANS: C DIF: I OBJ: ANS: B 12 m/s 2 v t 17 m/s 24 m a c v t 2 ( 17 m/s ) 2 24 m 12 m/s 2 1

4 ID: A 6. ANS: D 215 J F 43.0 N d 5.00 m W Fd ( 43.0 N) ( 5.00 m) 215 J 7. ANS: A DIF: I OBJ: ANS: C 320 m v i 0 m/s v f 56 m/s θ 30.0 g 9.81 m/s 2 W net KE W net Fd (mg sinθ)d KE KE f KE i 1 2 mv f mv f 2 mgd sinθ 1 2 mv f 2 d d 2 v f 2g sinθ ( 56 m/s) 2 ( 2) 9.81 m/s 2 ˆ m Á ( sin30.0 ) 9. ANS: D 2.1 m/s 2 v t 2.6 m/s 3.2 m a c v t 2 ( 2.6 m/s ) m 2.1 m/s ANS: B DIF: I OBJ: ANS: C DIF: I OBJ:

5 ID: A 12. ANS: D DIF: I OBJ: ANS: A DIF: I OBJ: ANS: D 15. ANS: B 35 J F w 50.0 N F k 43 N d 5.0 m W net F net d È Á F w + F k ˆ d ÎÍ ( 50.0 N) + ( 43 N) ( 5.0 m) 35 J 16. ANS: A 74 N m 35 kg v t 2.6 m/s 3.2 m F c mv t ANS: A m 43 kg v t 2.0 m/s 2.0 m F c mv t 2 Á 35 kg ˆ ( 2.6 m/s) 2 74 N 3.2 m Á 43 kg ˆ ( 2.0 m/s) 2 86 N 2.0 m DIF: IIIA OBJ:

6 ID: A 18. ANS: B v t 2.0 m/s 2.0 m a c v t 2 ( 2.0 m/s ) m 2.0 m/s 2 DIF: IIIA OBJ: ANS: B DIF: II OBJ: ANS: A DIF: I OBJ: ANS: A DIF: I OBJ: ANS: A DIF: I OBJ: ANS: B DIF: I OBJ: ANS: A DIF: I OBJ: ANS: B DIF: I OBJ: ANS: D DIF: I OBJ: ANS: B DIF: I OBJ: ANS: D DIF: II OBJ: ANS: A W in J W out 35 J eff W out W in 35 J J % DIF: IIIA OBJ: ANS: C DIF: I OBJ:

7 Name: Class: Date: ID: B Quiz 6--Wok, Gavitation, Cicula Motion, Toque. (60 pts available, 50 points possible) Multiple Choice, 2 point each Identify the choice that best completes the statement o answes the question. 1. When calculating the gavitational foce between two extended bodies, you should measue the distance a. fom the closest points on each body. b. fom the cente of one body to the closest point on the othe body. c. fom the cente of each body. d. fom the most distant points on each body. 2. A 35 kg child moves with unifom cicula motion while iding a hose on a caousel. The hose is 3.2 m fom the caousel s axis of otation and has a tangential speed of 2.6 m/s. What is the centipetal foce on the child? a N b. 740 N c. 7.4 N d. 74 N 3. What is the common fomula fo wok? Assume that W is the wok, F is a constant foce, v is the change in velocity, and d is the displacement. a. W Fd 2 b. W F v c. W F 2 d d. W Fd A child ides a bicycle in a cicula path with a adius of 2.0 m. The tangential speed of the bicycle is 2.0 m/s. The combined mass of the bicycle and the child is 43 kg. 4. What is the magnitude of the bicycle s centipetal acceleation? a. 2.0 m/s 2 b. 8.0 m/s 2 c. 4.0 m/s 2 d. 1.0 m/s 2 5. What kind of foce povides the centipetal foce on the bicycle? a. ai esistance b. fiction c. gavitational foce d. nomal foce 6. What is the magnitude of the centipetal foce on the bicycle? a. 86 N b. 4.0 N c. 3.7 kn d. 43 N 7. Which of the following equations expesses Newton s law of univesal gavitation? a. F g m 1 m 2 b. F g G m 1 m 2 2 c. F c mv 2 t d. g G m E 2 8. A hoizontal foce of 200 N is applied to move a 55 kg television set acoss a 10 m level suface. What is the wok done by the 200 N foce on the television set? a. 550 J b J c J d J 9. Gavitational potential enegy is always measued in elation to a. mechanical enegy. b. kinetic enegy. c. a zeo level. d. total potential enegy. 10. Which of the following is the ate at which wok is done? a. mechanical enegy b. potential enegy c. kinetic enegy d. powe 11. The centipetal foce on an object in cicula motion is a. in the same diection as the tangential speed. b. in the diection opposite the tangential speed. c. in the same diection as the centipetal acceleation. d. in the diection opposite the centipetal acceleation. 12. When an object is moving with unifom cicula motion, the centipetal acceleation of the object a. is diected towad the cente of motion. b. is zeo. c. is cicula. d. is pependicula to the plane of motion. 13. A 61.5 kg student sits at a desk 1.25 m away fom a 70.0 kg student. What is the magnitude of the gavitational foce between the two students? (G N m 2 /kg 2 ) a N b N c N d N 14. What is the tem fo the net foce diected towad the cente of an object s cicula path? a. cicula foce b. obital foce c. centifugal foce d. centipetal foce 1

8 Name: ID: B 15. A foce does wok on an object if a component of the foce a. paallel to the displacement of the object moves the object along a path that etuns the object to its stating position. b. pependicula to the displacement of the object moves the object along a path that etuns the object to its stating position. c. is paallel to the displacement of the object. d. is pependicula to the displacement of the object. 16. A woke pushes a box with a hoizontal foce of 50.0 N ove a level distance of 5.0 m. If a fictional foce of 43 N acts on the box in a diection opposite to that of the woke, what net wok is done on the box? a. 3.5 J b. 3.2 J c. 32 J d. 35 J 17. How much wok is done on a bookshelf being pulled 5.00 m at an angle of 37.0 fom the hoizontal? The magnitude of the component of the foce that does the wok is 43.0 N. a. 215 J b J c. 205 J d J 18. Which of the following quantities measues the ability of a foce to otate o acceleate an object aound an axis? a. tangential foce b. leve am c. toque d. axis of otation 19. A pofessional skie stats fom est and eaches a speed of 56 m/s on a ski slope angled 30.0 above the hoizontal. Using the wok-kinetic enegy theoem and disegading fiction, find the minimum distance along the slope the skie would have to tavel in ode to each this speed. a. 300 m b. 30 m c. 320 m d. 32 m 20. Wok is done when a. the displacement is zeo. b. the displacement is not zeo. c. the foce and displacement ae pependicula. d. the foce is zeo. 21. If you want to open a swinging doo with the least amount of foce, whee should you push on the doo? a. in the middle b. It does not matte whee you push. c. close to the hinges d. as fa fom the hinges as possible 22. A ca on a olle coaste loaded with passenges has a mass of kg. At the lowest point of the tack, the adius of cuvatue of the tack is 24 m and the olle ca has a tangential speed of 17 m/s. What is the centipetal acceleation of the olle ca at the lowest point on the tack? a. 10 m/s 2 b. 11 m/s 2 c. 12 m/s 2 d. 14 m/s A child moving at constant velocity caies a 2 N ice-ceam cone 1 m acoss a level suface. What is the net wok done on the ice-ceam cone? a. 0 J b. 20 J c. 0.5 J d. 2 J 24. Which of the following can be a centipetal foce? a. tension b. fiction c. gavity d. all of the above 25. Which of the following equations expesses the wok-kinetic enegy theoem? a. W net KE b. W net PE c. W KE d. ME i ME f 26. What is the efficiency of a machine that equies J of input enegy to do 35 J of wok? a. 29% b. 35% c. 65% d. 2.9% 27. A 35 kg child moves with unifom cicula motion while iding a hose on a caousel. The hose is 3.2 m fom the caousel s axis of otation and has a tangential speed of 2.6 m/s. What is the child s centipetal acceleation? a. 21 m/s^2 b. 210 m/s^2 c m/s^2 d. 2.1 m/s^2 28. Which of the following enegy foms is associated with an object due to its position? a. kinetic enegy b. positional enegy c. potential enegy d. total enegy 29. A ca on a olle coaste loaded with passenges has a mass of kg. At the lowest point of the tack, the adius of cuvatue of the tack is 24 m and the olle ca has a tangential speed of 17 m/s. What centipetal foce is exeted on the olle ca at the lowest point? a N b N c N d N 30. Which of the following enegy foms is associated with an object in motion? a. elastic potential enegy b. potential enegy c. nonmechanical enegy d. kinetic enegy 2

9 ID: B Quiz 6--Wok, Gavitation, Cicula Motion, Toque. (60 pts available, 50 points possible) Answe Section MULTIPLE CHOICE 1. ANS: C DIF: I OBJ: ANS: D 74 N m 35 kg v t 2.6 m/s 3.2 m F c mv t 2 Á 35 kg ˆ ( 2.6 m/s) 2 74 N 3.2 m 3. ANS: D DIF: I OBJ: ANS: A v t 2.0 m/s 2.0 m a c v t 2 ( 2.0 m/s ) m 2.0 m/s 2 DIF: IIIA OBJ: ANS: B DIF: II OBJ: ANS: A m 43 kg v t 2.0 m/s 2.0 m F c mv t 2 Á 43 kg ˆ ( 2.0 m/s) 2 86 N 2.0 m DIF: IIIA OBJ: ANS: B DIF: I OBJ:

10 ID: B 8. ANS: D F 200 N d 10 m W Fd ( 200 N) ( 10 m) J DIF: IIIA OBJ: ANS: C DIF: I OBJ: ANS: D DIF: I OBJ: ANS: C DIF: I OBJ: ANS: A DIF: I OBJ: ANS: A 14. ANS: D DIF: I OBJ: ANS: C DIF: I OBJ: ANS: D 35 J F w 50.0 N F k 43 N d 5.0 m W net F net d È Á F w + F k ˆ d ÎÍ ( 50.0 N) + ( 43 N) ( 5.0 m) 35 J 17. ANS: A 215 J F 43.0 N d 5.00 m W Fd ( 43.0 N) ( 5.00 m) 215 J 18. ANS: C DIF: I OBJ:

11 ID: B 19. ANS: C 320 m v i 0 m/s v f 56 m/s θ 30.0 g 9.81 m/s 2 W net KE W net Fd (mg sinθ)d KE KE f KE i 1 2 mv f mv f 2 mgd sinθ 1 2 mv f 2 d d 2 v f 2g sinθ ( 56 m/s) 2 ( 2) 9.81 m/s 2 ˆ m Á ( sin30.0 ) 20. ANS: B DIF: I OBJ: ANS: D DIF: I OBJ: ANS: C 12 m/s 2 v t 17 m/s 24 m a c v t 2 ( 17 m/s ) 2 24 m 12 m/s ANS: A DIF: II OBJ: ANS: D DIF: I OBJ: ANS: A DIF: I OBJ:

12 ID: B 26. ANS: B W in J W out 35 J eff W out W in 35 J J % DIF: IIIA OBJ: ANS: D 2.1 m/s 2 v t 2.6 m/s 3.2 m a c v t 2 ( 2.6 m/s ) m 2.1 m/s ANS: C DIF: I OBJ: ANS: C N m kg v t 17 m/s 24 m F c mv t ˆ kg Á ( 17 m/s ) 2 24 m N 30. ANS: D DIF: I OBJ:

13 Quiz 6--Wok, Gavitation, Cicula Motion, Toque. (60 pts available, 50 points possible) [Vesion Map] A B MC 1 14 MC 2 29 MC 3 8 MC 4 3 MC 5 22 MC 6 17 MC 7 30 MC 8 19 MC 9 27 MC MC MC MC MC MC MC 16 2 MC 17 6 MC 18 4 MC 19 5 MC 20 9 MC MC MC 23 7 MC MC 25 1 MC MC MC MC MC

c) (6) Assuming the tires do not skid, what coefficient of static friction between tires and pavement is needed?

c) (6) Assuming the tires do not skid, what coefficient of static friction between tires and pavement is needed? Geneal Physics I Exam 2 - Chs. 4,5,6 - Foces, Cicula Motion, Enegy Oct. 10, 2012 Name Rec. Inst. Rec. Time Fo full cedit, make you wok clea to the gade. Show fomulas used, essential steps, and esults with

More information

Hoizontal Cicula Motion 1. A paticle of mass m is tied to a light sting and otated with a speed v along a cicula path of adius. If T is tension in the sting and mg is gavitational foce on the paticle then,

More information

Physics 111 Lecture 5 Circular Motion

Physics 111 Lecture 5 Circular Motion Physics 111 Lectue 5 Cicula Motion D. Ali ÖVGÜN EMU Physics Depatment www.aovgun.com Multiple Objects q A block of mass m1 on a ough, hoizontal suface is connected to a ball of mass m by a lightweight

More information

Physics C Rotational Motion Name: ANSWER KEY_ AP Review Packet

Physics C Rotational Motion Name: ANSWER KEY_ AP Review Packet Linea and angula analogs Linea Rotation x position x displacement v velocity a T tangential acceleation Vectos in otational motion Use the ight hand ule to detemine diection of the vecto! Don t foget centipetal

More information

Physics 4A Chapter 8: Dynamics II Motion in a Plane

Physics 4A Chapter 8: Dynamics II Motion in a Plane Physics 4A Chapte 8: Dynamics II Motion in a Plane Conceptual Questions and Example Poblems fom Chapte 8 Conceptual Question 8.5 The figue below shows two balls of equal mass moving in vetical cicles.

More information

constant t [rad.s -1 ] v / r r [m.s -2 ] (direction: towards centre of circle / perpendicular to circle)

constant t [rad.s -1 ] v / r r [m.s -2 ] (direction: towards centre of circle / perpendicular to circle) VISUAL PHYSICS ONLINE MODULE 5 ADVANCED MECHANICS NON-UNIFORM CIRCULAR MOTION Equation of a cicle x y Angula displacement [ad] Angula speed d constant t [ad.s -1 ] dt Tangential velocity v v [m.s -1 ]

More information

Uniform Circular Motion

Uniform Circular Motion Unifom Cicula Motion Have you eve idden on the amusement pak ide shown below? As it spins you feel as though you ae being pessed tightly against the wall. The ide then begins to tilt but you emain glued

More information

Physics 101 Lecture 6 Circular Motion

Physics 101 Lecture 6 Circular Motion Physics 101 Lectue 6 Cicula Motion Assist. Pof. D. Ali ÖVGÜN EMU Physics Depatment www.aovgun.com Equilibium, Example 1 q What is the smallest value of the foce F such that the.0-kg block will not slide

More information

Circular Motion & Torque Test Review. The period is the amount of time it takes for an object to travel around a circular path once.

Circular Motion & Torque Test Review. The period is the amount of time it takes for an object to travel around a circular path once. Honos Physics Fall, 2016 Cicula Motion & Toque Test Review Name: M. Leonad Instuctions: Complete the following woksheet. SHOW ALL OF YOUR WORK ON A SEPARATE SHEET OF PAPER. 1. Detemine whethe each statement

More information

Chapter 5. Uniform Circular Motion. a c =v 2 /r

Chapter 5. Uniform Circular Motion. a c =v 2 /r Chapte 5 Unifom Cicula Motion a c =v 2 / Unifom cicula motion: Motion in a cicula path with constant speed s v 1) Speed and peiod Peiod, T: time fo one evolution Speed is elated to peiod: Path fo one evolution:

More information

Chapter 5: Uniform Circular Motion

Chapter 5: Uniform Circular Motion Chapte 5: Unifom Cicula Motion Motion at constant speed in a cicle Centipetal acceleation Banked cuves Obital motion Weightlessness, atificial gavity Vetical cicula motion Centipetal Foce Acceleation towad

More information

b) (5) What average force magnitude was applied by the students working together?

b) (5) What average force magnitude was applied by the students working together? Geneal Physics I Exam 3 - Chs. 7,8,9 - Momentum, Rotation, Equilibium Nov. 3, 2010 Name Rec. Inst. Rec. Time Fo full cedit, make you wok clea to the gade. Show fomulas used, essential steps, and esults

More information

Sections and Chapter 10

Sections and Chapter 10 Cicula and Rotational Motion Sections 5.-5.5 and Chapte 10 Basic Definitions Unifom Cicula Motion Unifom cicula motion efes to the motion of a paticle in a cicula path at constant speed. The instantaneous

More information

Uniform Circular Motion

Uniform Circular Motion Unifom Cicula Motion constant speed Pick a point in the objects motion... What diection is the velocity? HINT Think about what diection the object would tavel if the sting wee cut Unifom Cicula Motion

More information

Describing Circular motion

Describing Circular motion Unifom Cicula Motion Descibing Cicula motion In ode to undestand cicula motion, we fist need to discuss how to subtact vectos. The easiest way to explain subtacting vectos is to descibe it as adding a

More information

Objective Notes Summary

Objective Notes Summary Objective Notes Summay An object moving in unifom cicula motion has constant speed but not constant velocity because the diection is changing. The velocity vecto in tangent to the cicle, the acceleation

More information

Physics 1114: Unit 5 Hand-out Homework (Answers)

Physics 1114: Unit 5 Hand-out Homework (Answers) Physics 1114: Unit 5 Hand-out Homewok (Answes) Poblem set 1 1. The flywheel on an expeimental bus is otating at 420 RPM (evolutions pe minute). To find (a) the angula velocity in ad/s (adians/second),

More information

= 4 3 π( m) 3 (5480 kg m 3 ) = kg.

= 4 3 π( m) 3 (5480 kg m 3 ) = kg. CHAPTER 11 THE GRAVITATIONAL FIELD Newton s Law of Gavitation m 1 m A foce of attaction occus between two masses given by Newton s Law of Gavitation Inetial mass and gavitational mass Gavitational potential

More information

ω = θ θ o = θ θ = s r v = rω

ω = θ θ o = θ θ = s r v = rω Unifom Cicula Motion Unifom cicula motion is the motion of an object taveling at a constant(unifom) speed in a cicula path. Fist we must define the angula displacement and angula velocity The angula displacement

More information

PS113 Chapter 5 Dynamics of Uniform Circular Motion

PS113 Chapter 5 Dynamics of Uniform Circular Motion PS113 Chapte 5 Dynamics of Unifom Cicula Motion 1 Unifom cicula motion Unifom cicula motion is the motion of an object taveling at a constant (unifom) speed on a cicula path. The peiod T is the time equied

More information

PHYS 1114, Lecture 21, March 6 Contents:

PHYS 1114, Lecture 21, March 6 Contents: PHYS 1114, Lectue 21, Mach 6 Contents: 1 This class is o cially cancelled, being eplaced by the common exam Tuesday, Mach 7, 5:30 PM. A eview and Q&A session is scheduled instead duing class time. 2 Exam

More information

Chap 5. Circular Motion: Gravitation

Chap 5. Circular Motion: Gravitation Chap 5. Cicula Motion: Gavitation Sec. 5.1 - Unifom Cicula Motion A body moves in unifom cicula motion, if the magnitude of the velocity vecto is constant and the diection changes at evey point and is

More information

- 5 - TEST 1R. This is the repeat version of TEST 1, which was held during Session.

- 5 - TEST 1R. This is the repeat version of TEST 1, which was held during Session. - 5 - TEST 1R This is the epeat vesion of TEST 1, which was held duing Session. This epeat test should be attempted by those students who missed Test 1, o who wish to impove thei mak in Test 1. IF YOU

More information

b) (5) What is the magnitude of the force on the 6.0-kg block due to the contact with the 12.0-kg block?

b) (5) What is the magnitude of the force on the 6.0-kg block due to the contact with the 12.0-kg block? Geneal Physics I Exam 2 - Chs. 4,5,6 - Foces, Cicula Motion, Enegy Oct. 13, 2010 Name Rec. Inst. Rec. Time Fo full cedit, make you wok clea to the gade. Show fomulas used, essential steps, and esults with

More information

Chapter 4. Newton s Laws of Motion

Chapter 4. Newton s Laws of Motion Chapte 4 Newton s Laws of Motion 4.1 Foces and Inteactions A foce is a push o a pull. It is that which causes an object to acceleate. The unit of foce in the metic system is the Newton. Foce is a vecto

More information

Exam 3: Equation Summary

Exam 3: Equation Summary MAACHUETT INTITUTE OF TECHNOLOGY Depatment of Physics Physics 8. TEAL Fall Tem 4 Momentum: p = mv, F t = p, Fext ave t= t f t = Exam 3: Equation ummay = Impulse: I F( t ) = p Toque: τ =,P dp F P τ =,P

More information

When a mass moves because of a force, we can define several types of problem.

When a mass moves because of a force, we can define several types of problem. Mechanics Lectue 4 3D Foces, gadient opeato, momentum 3D Foces When a mass moves because of a foce, we can define seveal types of poblem. ) When we know the foce F as a function of time t, F=F(t). ) When

More information

AP-C WEP. h. Students should be able to recognize and solve problems that call for application both of conservation of energy and Newton s Laws.

AP-C WEP. h. Students should be able to recognize and solve problems that call for application both of conservation of energy and Newton s Laws. AP-C WEP 1. Wok a. Calculate the wok done by a specified constant foce on an object that undegoes a specified displacement. b. Relate the wok done by a foce to the aea unde a gaph of foce as a function

More information

to point uphill and to be equal to its maximum value, in which case f s, max = μsfn

to point uphill and to be equal to its maximum value, in which case f s, max = μsfn Chapte 6 16. (a) In this situation, we take f s to point uphill and to be equal to its maximum value, in which case f s, max = μsf applies, whee μ s = 0.5. pplying ewton s second law to the block of mass

More information

Chapter 5. really hard to start the object moving and then, once it starts moving, you don t have to push as hard to keep it moving.

Chapter 5. really hard to start the object moving and then, once it starts moving, you don t have to push as hard to keep it moving. Chapte 5 Fiction When an object is in motion it is usually in contact with a viscous mateial (wate o ai) o some othe suface. So fa, we have assumed that moving objects don t inteact with thei suoundings

More information

Recap. Centripetal acceleration: v r. a = m/s 2 (towards center of curvature)

Recap. Centripetal acceleration: v r. a = m/s 2 (towards center of curvature) a = c v 2 Recap Centipetal acceleation: m/s 2 (towads cente of cuvatue) A centipetal foce F c is equied to keep a body in cicula motion: This foce poduces centipetal acceleation that continuously changes

More information

Centripetal Force. Lecture 11. Chapter 8. Course website:

Centripetal Force. Lecture 11. Chapter 8. Course website: Lectue 11 Chapte 8 Centipetal Foce Couse website: http://faculty.uml.edu/andiy_danylov/teaching/physicsi PHYS.1410 Lectue 11 Danylov Depatment of Physics and Applied Physics Today we ae going to discuss:

More information

DYNAMICS OF UNIFORM CIRCULAR MOTION

DYNAMICS OF UNIFORM CIRCULAR MOTION Chapte 5 Dynamics of Unifom Cicula Motion Chapte 5 DYNAMICS OF UNIFOM CICULA MOTION PEVIEW An object which is moing in a cicula path with a constant speed is said to be in unifom cicula motion. Fo an object

More information

06 - ROTATIONAL MOTION Page 1 ( Answers at the end of all questions )

06 - ROTATIONAL MOTION Page 1 ( Answers at the end of all questions ) 06 - ROTATIONAL MOTION Page ) A body A of mass M while falling vetically downwads unde gavity beaks into two pats, a body B of mass ( / ) M and a body C of mass ( / ) M. The cente of mass of bodies B and

More information

Physics 181. Assignment 4

Physics 181. Assignment 4 Physics 181 Assignment 4 Solutions 1. A sphee has within it a gavitational field given by g = g, whee g is constant and is the position vecto of the field point elative to the cente of the sphee. This

More information

Phys 201A. Homework 6 Solutions. F A and F r. B. According to Newton s second law, ( ) ( )2. j = ( 6.0 m / s 2 )ˆ i ( 10.4m / s 2 )ˆ j.

Phys 201A. Homework 6 Solutions. F A and F r. B. According to Newton s second law, ( ) ( )2. j = ( 6.0 m / s 2 )ˆ i ( 10.4m / s 2 )ˆ j. 7. We denote the two foces F A + F B = ma,sof B = ma F A. (a) In unit vecto notation F A = ( 20.0 N)ˆ i and Theefoe, Phys 201A Homewok 6 Solutions F A and F B. Accoding to Newton s second law, a = [ (

More information

From Newton to Einstein. Mid-Term Test, 12a.m. Thur. 13 th Nov Duration: 50 minutes. There are 20 marks in Section A and 30 in Section B.

From Newton to Einstein. Mid-Term Test, 12a.m. Thur. 13 th Nov Duration: 50 minutes. There are 20 marks in Section A and 30 in Section B. Fom Newton to Einstein Mid-Tem Test, a.m. Thu. 3 th Nov. 008 Duation: 50 minutes. Thee ae 0 maks in Section A and 30 in Section B. Use g = 0 ms in numeical calculations. You ma use the following epessions

More information

Physics 107 TUTORIAL ASSIGNMENT #8

Physics 107 TUTORIAL ASSIGNMENT #8 Physics 07 TUTORIAL ASSIGNMENT #8 Cutnell & Johnson, 7 th edition Chapte 8: Poblems 5,, 3, 39, 76 Chapte 9: Poblems 9, 0, 4, 5, 6 Chapte 8 5 Inteactive Solution 8.5 povides a model fo solving this type

More information

Chapter 8. Accelerated Circular Motion

Chapter 8. Accelerated Circular Motion Chapte 8 Acceleated Cicula Motion 8.1 Rotational Motion and Angula Displacement A new unit, adians, is eally useful fo angles. Radian measue θ(adians) = s = θ s (ac length) (adius) (s in same units as

More information

Unit 6 Practice Test. Which vector diagram correctly shows the change in velocity Δv of the mass during this time? (1) (1) A. Energy KE.

Unit 6 Practice Test. Which vector diagram correctly shows the change in velocity Δv of the mass during this time? (1) (1) A. Energy KE. Unit 6 actice Test 1. Which one of the following gaphs best epesents the aiation of the kinetic enegy, KE, and of the gaitational potential enegy, GE, of an obiting satellite with its distance fom the

More information

PHYS 1410, 11 Nov 2015, 12:30pm.

PHYS 1410, 11 Nov 2015, 12:30pm. PHYS 40, Nov 205, 2:30pm. A B = AB cos φ x = x 0 + v x0 t + a 2 xt 2 a ad = v2 2 m(v2 2 v) 2 θ = θ 0 + ω 0 t + 2 αt2 L = p fs µ s n 0 + αt K = 2 Iω2 cm = m +m 2 2 +... m +m 2 +... p = m v and L = I ω ω

More information

MAGNETIC FIELD INTRODUCTION

MAGNETIC FIELD INTRODUCTION MAGNETIC FIELD INTRODUCTION It was found when a magnet suspended fom its cente, it tends to line itself up in a noth-south diection (the compass needle). The noth end is called the Noth Pole (N-pole),

More information

Physics 2001 Problem Set 5 Solutions

Physics 2001 Problem Set 5 Solutions Physics 2001 Poblem Set 5 Solutions Jeff Kissel Octobe 16, 2006 1. A puck attached to a sting undegoes cicula motion on an ai table. If the sting beaks at the point indicated in the figue, which path (A,

More information

Circular-Rotational Motion Mock Exam. Instructions: (92 points) Answer the following questions. SHOW ALL OF YOUR WORK.

Circular-Rotational Motion Mock Exam. Instructions: (92 points) Answer the following questions. SHOW ALL OF YOUR WORK. AP Physics C Sping, 2017 Cicula-Rotational Motion Mock Exam Name: Answe Key M. Leonad Instuctions: (92 points) Answe the following questions. SHOW ALL OF YOUR WORK. ( ) 1. A stuntman dives a motocycle

More information

Chapter 7-8 Rotational Motion

Chapter 7-8 Rotational Motion Chapte 7-8 Rotational Motion What is a Rigid Body? Rotational Kinematics Angula Velocity ω and Acceleation α Unifom Rotational Motion: Kinematics Unifom Cicula Motion: Kinematics and Dynamics The Toque,

More information

AH Mechanics Checklist (Unit 2) AH Mechanics Checklist (Unit 2) Circular Motion

AH Mechanics Checklist (Unit 2) AH Mechanics Checklist (Unit 2) Circular Motion AH Mechanics Checklist (Unit ) AH Mechanics Checklist (Unit ) Cicula Motion No. kill Done 1 Know that cicula motion efes to motion in a cicle of constant adius Know that cicula motion is conveniently descibed

More information

Potential Energy and Conservation of Energy

Potential Energy and Conservation of Energy Potential Enegy and Consevation of Enegy Consevative Foces Definition: Consevative Foce If the wok done by a foce in moving an object fom an initial point to a final point is independent of the path (A

More information

Uniform Circular Motion

Uniform Circular Motion Unifom Cicula Motion Intoduction Ealie we defined acceleation as being the change in velocity with time: a = v t Until now we have only talked about changes in the magnitude of the acceleation: the speeding

More information

CHAPTER 5: Circular Motion; Gravitation

CHAPTER 5: Circular Motion; Gravitation CHAPER 5: Cicula Motion; Gavitation Solution Guide to WebAssign Pobles 5.1 [1] (a) Find the centipetal acceleation fo Eq. 5-1.. a R v ( 1.5 s) 1.10 1.4 s (b) he net hoizontal foce is causing the centipetal

More information

AP * PHYSICS B. Circular Motion, Gravity, & Orbits. Teacher Packet

AP * PHYSICS B. Circular Motion, Gravity, & Orbits. Teacher Packet AP * PHYSICS B Cicula Motion, Gavity, & Obits Teache Packet AP* is a tademak of the College Entance Examination Boad. The College Entance Examination Boad was not involved in the poduction of this mateial.

More information

21 MAGNETIC FORCES AND MAGNETIC FIELDS

21 MAGNETIC FORCES AND MAGNETIC FIELDS CHAPTER 1 MAGNETIC ORCES AND MAGNETIC IELDS ANSWERS TO OCUS ON CONCEPTS QUESTIONS 1. (d) Right-Hand Rule No. 1 gives the diection of the magnetic foce as x fo both dawings A and. In dawing C, the velocity

More information

OSCILLATIONS AND GRAVITATION

OSCILLATIONS AND GRAVITATION 1. SIMPLE HARMONIC MOTION Simple hamonic motion is any motion that is equivalent to a single component of unifom cicula motion. In this situation the velocity is always geatest in the middle of the motion,

More information

Between any two masses, there exists a mutual attractive force.

Between any two masses, there exists a mutual attractive force. YEAR 12 PHYSICS: GRAVITATION PAST EXAM QUESTIONS Name: QUESTION 1 (1995 EXAM) (a) State Newton s Univesal Law of Gavitation in wods Between any two masses, thee exists a mutual attactive foce. This foce

More information

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 10-1 DESCRIBING FIELDS Essential Idea: Electic chages and masses each influence the space aound them and that influence can be epesented

More information

Physics 201 Lecture 18

Physics 201 Lecture 18 Phsics 0 ectue 8 ectue 8 Goals: Define and anale toque ntoduce the coss poduct Relate otational dnamics to toque Discuss wok and wok eneg theoem with espect to otational motion Specif olling motion (cente

More information

Rotational Motion: Statics and Dynamics

Rotational Motion: Statics and Dynamics Physics 07 Lectue 17 Goals: Lectue 17 Chapte 1 Define cente of mass Analyze olling motion Intoduce and analyze toque Undestand the equilibium dynamics of an extended object in esponse to foces Employ consevation

More information

Answers to test yourself questions

Answers to test yourself questions Answes to test youself questions opic. Cicula motion π π a he angula speed is just ω 5. 7 ad s. he linea speed is ω 5. 7 3. 5 7. 7 m s.. 4 b he fequency is f. 8 s.. 4 3 a f. 45 ( 3. 5). m s. 3 a he aeage

More information

Unit 6 Practice Test. Which vector diagram correctly shows the change in velocity Δv of the mass during this time? (1) (1) A. Energy KE.

Unit 6 Practice Test. Which vector diagram correctly shows the change in velocity Δv of the mass during this time? (1) (1) A. Energy KE. Unit 6 actice Test 1. Which one of the following gaphs best epesents the aiation of the kinetic enegy, KE, and of the gaitational potential enegy, GE, of an obiting satellite with its distance fom the

More information

Translation and Rotation Kinematics

Translation and Rotation Kinematics Tanslation and Rotation Kinematics Oveview: Rotation and Tanslation of Rigid Body Thown Rigid Rod Tanslational Motion: the gavitational extenal foce acts on cente-of-mass F ext = dp sy s dt dv total cm

More information

Exam 3: Equation Summary

Exam 3: Equation Summary MAACHUETT INTITUTE OF TECHNOLOGY Depatment of Physics Physics 8. TEAL Fall Tem 4 Momentum: p = mv, F t = p, Fext ave t= t f t = Exam 3: Equation ummay = Impulse: I F( t ) = p Toque: τ =,P dp F P τ =,P

More information

kg 2 ) 1.9!10 27 kg = Gm 1

kg 2 ) 1.9!10 27 kg = Gm 1 Section 6.1: Newtonian Gavitation Tutoial 1 Pactice, page 93 1. Given: 1.0 10 0 kg; m 3.0 10 0 kg;. 10 9 N; G 6.67 10 11 N m /kg Requied: Analysis: G m ; G m G m Solution: G m N m 6.67!10 11 kg ) 1.0!100

More information

10. Force is inversely proportional to distance between the centers squared. R 4 = F 16 E 11.

10. Force is inversely proportional to distance between the centers squared. R 4 = F 16 E 11. NSWRS - P Physics Multiple hoice Pactice Gavitation Solution nswe 1. m mv Obital speed is found fom setting which gives v whee M is the object being obited. Notice that satellite mass does not affect obital

More information

PHYS Summer Professor Caillault Homework Solutions. Chapter 5

PHYS Summer Professor Caillault Homework Solutions. Chapter 5 PHYS 1111 - Summe 2007 - Pofesso Caillault Homewok Solutions Chapte 5 7. Pictue the Poblem: The ball is acceleated hoizontally fom est to 98 mi/h ove a distance of 1.7 m. Stategy: Use equation 2-12 to

More information

Midterm Exam #2, Part A

Midterm Exam #2, Part A Physics 151 Mach 17, 2006 Midtem Exam #2, Pat A Roste No.: Scoe: Exam time limit: 50 minutes. You may use calculatos and both sides of ONE sheet of notes, handwitten only. Closed book; no collaboation.

More information

PHYSICS 220. Lecture 08. Textbook Sections Lecture 8 Purdue University, Physics 220 1

PHYSICS 220. Lecture 08. Textbook Sections Lecture 8 Purdue University, Physics 220 1 PHYSICS 0 Lectue 08 Cicula Motion Textbook Sections 5.3 5.5 Lectue 8 Pudue Univesity, Physics 0 1 Oveview Last Lectue Cicula Motion θ angula position adians ω angula velocity adians/second α angula acceleation

More information

2013 Checkpoints Chapter 6 CIRCULAR MOTION

2013 Checkpoints Chapter 6 CIRCULAR MOTION 013 Checkpoints Chapte 6 CIRCULAR MOTIO Question 09 In unifom cicula motion, thee is a net foce acting adially inwads. This net foce causes the elocity to change (in diection). Since the speed is constant,

More information

A moving charged particle creates a magnetic field vector at every point in space except at its position.

A moving charged particle creates a magnetic field vector at every point in space except at its position. 1 Pat 3: Magnetic Foce 3.1: Magnetic Foce & Field A. Chaged Paticles A moving chaged paticle ceates a magnetic field vecto at evey point in space ecept at its position. Symbol fo Magnetic Field mks units

More information

Physics 201 Homework 4

Physics 201 Homework 4 Physics 201 Homewok 4 Jan 30, 2013 1. Thee is a cleve kitchen gadget fo dying lettuce leaves afte you wash them. 19 m/s 2 It consists of a cylindical containe mounted so that it can be otated about its

More information

Chapter 5 Force and Motion

Chapter 5 Force and Motion Chapte 5 Foce and Motion In chaptes 2 and 4 we have studied kinematics i.e. descibed the motion of objects using paametes such as the position vecto, velocity and acceleation without any insights as to

More information

Name. Date. Period. Engage Examine the pictures on the left. 1. What is going on in these pictures?

Name. Date. Period. Engage Examine the pictures on the left. 1. What is going on in these pictures? AP Physics 1 Lesson 9.a Unifom Cicula Motion Outcomes 1. Define unifom cicula motion. 2. Detemine the tangential velocity of an object moving with unifom cicula motion. 3. Detemine the centipetal acceleation

More information

Physics: Work & Energy Beyond Earth Guided Inquiry

Physics: Work & Energy Beyond Earth Guided Inquiry Physics: Wok & Enegy Beyond Eath Guided Inquiy Elliptical Obits Keple s Fist Law states that all planets move in an elliptical path aound the Sun. This concept can be extended to celestial bodies beyond

More information

Dynamics of Rotational Motion

Dynamics of Rotational Motion Dynamics of Rotational Motion Toque: the otational analogue of foce Toque = foce x moment am τ = l moment am = pependicula distance though which the foce acts a.k.a. leve am l l l l τ = l = sin φ = tan

More information

Circular Motion. Mr. Velazquez AP/Honors Physics

Circular Motion. Mr. Velazquez AP/Honors Physics Cicula Motion M. Velazquez AP/Honos Physics Objects in Cicula Motion Accoding to Newton s Laws, if no foce acts on an object, it will move with constant speed in a constant diection. Theefoe, if an object

More information

6.4 Period and Frequency for Uniform Circular Motion

6.4 Period and Frequency for Uniform Circular Motion 6.4 Peiod and Fequency fo Unifom Cicula Motion If the object is constained to move in a cicle and the total tangential foce acting on the total object is zeo, F θ = 0, then (Newton s Second Law), the tangential

More information

Department of Physics, Korea University Page 1 of 5

Department of Physics, Korea University Page 1 of 5 Name: Depatment: Student ID #: Notice ˆ + ( 1) points pe coect (incoect) answe. ˆ No penalty fo an unansweed question. ˆ Fill the blank ( ) with ( ) if the statement is coect (incoect). ˆ : coections to

More information

Circular Motion. x-y coordinate systems. Other coordinates... PHY circular-motion - J. Hedberg

Circular Motion. x-y coordinate systems. Other coordinates... PHY circular-motion - J. Hedberg Cicula Motion PHY 207 - cicula-motion - J. Hedbeg - 2017 x-y coodinate systems Fo many situations, an x-y coodinate system is a geat idea. Hee is a map on Manhattan. The steets ae laid out in a ectangula

More information

m1 m2 M 2 = M -1 L 3 T -2

m1 m2 M 2 = M -1 L 3 T -2 GAVITATION Newton s Univesal law of gavitation. Evey paticle of matte in this univese attacts evey othe paticle with a foce which vaies diectly as the poduct of thei masses and invesely as the squae of

More information

F g. = G mm. m 1. = 7.0 kg m 2. = 5.5 kg r = 0.60 m G = N m 2 kg 2 = = N

F g. = G mm. m 1. = 7.0 kg m 2. = 5.5 kg r = 0.60 m G = N m 2 kg 2 = = N Chapte answes Heinemann Physics 4e Section. Woked example: Ty youself.. GRAVITATIONAL ATTRACTION BETWEEN SMALL OBJECTS Two bowling balls ae sitting next to each othe on a shelf so that the centes of the

More information

Chapter 5 Force and Motion

Chapter 5 Force and Motion Chapte 5 Foce and Motion In Chaptes 2 and 4 we have studied kinematics, i.e., we descibed the motion of objects using paametes such as the position vecto, velocity, and acceleation without any insights

More information

Chapter 13 Gravitation

Chapter 13 Gravitation Chapte 13 Gavitation In this chapte we will exploe the following topics: -Newton s law of gavitation, which descibes the attactive foce between two point masses and its application to extended objects

More information

Understanding the Concepts

Understanding the Concepts Chistian Bache Phsics Depatment Bn Maw College Undestanding the Concepts PHYSICS 101-10 Homewok Assignment #5 - Solutions 5.7. A cclist making a tun must make use of a centipetal foce, one that is pependicula

More information

Physics 231 Lecture 17

Physics 231 Lecture 17 Physics 31 Lectue 17 Main points of today s lectue: Centipetal acceleation: a c = a c t Rotational motion definitions: Δω Δω α =, α = limδ t 0 Δt Δt Δ s= Δ θ;t = ω;at = α Rotational kinematics equations:

More information

1. A stone falls from a platform 18 m high. When will it hit the ground? (a) 1.74 s (b) 1.83 s (c) 1.92 s (d) 2.01 s

1. A stone falls from a platform 18 m high. When will it hit the ground? (a) 1.74 s (b) 1.83 s (c) 1.92 s (d) 2.01 s 1. A stone falls fom a platfom 18 m high. When will it hit the gound? (a) 1.74 s (b) 1.83 s (c) 1.9 s (d).01 s Constant acceleation D = v 0 t + ½ a t. Which, if any, of these foces causes the otation of

More information

Chapter 5. Applying Newton s Laws. Newton s Laws. r r. 1 st Law: An object at rest or traveling in uniform. 2 nd Law:

Chapter 5. Applying Newton s Laws. Newton s Laws. r r. 1 st Law: An object at rest or traveling in uniform. 2 nd Law: Chapte 5 Applying Newton s Laws Newton s Laws st Law: An object at est o taveling in unifom motion will emain at est o taveling in unifom motion unless and until an extenal foce is applied net ma nd Law:

More information

Chapter 4: The laws of motion. Newton s first law

Chapter 4: The laws of motion. Newton s first law Chapte 4: The laws of motion gavitational Electic magnetic Newton s fist law If the net foce exeted on an object is zeo, the object continues in its oiginal state of motion: - an object at est, emains

More information

1121 T Question 1

1121 T Question 1 1121 T1 2008 Question 1 ( aks) You ae cycling, on a long staight path, at a constant speed of 6.0.s 1. Anothe cyclist passes you, tavelling on the sae path in the sae diection as you, at a constant speed

More information

ΣF = r r v. Question 213. Checkpoints Chapter 6 CIRCULAR MOTION

ΣF = r r v. Question 213. Checkpoints Chapter 6 CIRCULAR MOTION Unit 3 Physics 16 6. Cicula Motion Page 1 of 9 Checkpoints Chapte 6 CIRCULAR MOTION Question 13 Question 8 In unifom cicula motion, thee is a net foce acting adially inwads. This net foce causes the elocity

More information

Chapter 1: Mathematical Concepts and Vectors

Chapter 1: Mathematical Concepts and Vectors Chapte : Mathematical Concepts and Vectos giga G 9 mega M 6 kilo k 3 centi c - milli m -3 mico μ -6 nano n -9 in =.54 cm m = cm = 3.8 t mi = 58 t = 69 m h = 36 s da = 86,4 s ea = 365.5 das You must know

More information

Circular Orbits. and g =

Circular Orbits. and g = using analyse planetay and satellite motion modelled as unifom cicula motion in a univesal gavitation field, a = v = 4π and g = T GM1 GM and F = 1M SATELLITES IN OBIT A satellite is any object that is

More information

Rotatoy Motion Hoizontal Cicula Motion In tanslatoy motion, evey point in te body follows te pat of its pecedin one wit same velocity includin te cente of mass In otatoy motion, evey point move wit diffeent

More information

PROJECTILE MOTION. At any given point in the motion, the velocity vector is always a tangent to the path.

PROJECTILE MOTION. At any given point in the motion, the velocity vector is always a tangent to the path. PROJECTILE MOTION A pojectile is any object that has been thown though the ai. A foce must necessaily set the object in motion initially but, while it is moing though the ai, no foce othe than gaity acts

More information

Physics 111. Lecture 14 (Walker: Ch. 6.5) Circular Motion Centripetal Acceleration Centripetal Force February 27, 2009

Physics 111. Lecture 14 (Walker: Ch. 6.5) Circular Motion Centripetal Acceleration Centripetal Force February 27, 2009 Physics 111 Lectue 14 (Walke: Ch. 6.5) Cicula Motion Centipetal Acceleation Centipetal Foce Febuay 7, 009 Midtem Exam 1 on Wed. Mach 4 (Chaptes 1-6) Lectue 14 1/8 Connected Objects If thee is a pulley,

More information

Section 26 The Laws of Rotational Motion

Section 26 The Laws of Rotational Motion Physics 24A Class Notes Section 26 The Laws of otational Motion What do objects do and why do they do it? They otate and we have established the quantities needed to descibe this motion. We now need to

More information

Chapter 13: Gravitation

Chapter 13: Gravitation v m m F G Chapte 13: Gavitation The foce that makes an apple fall is the same foce that holds moon in obit. Newton s law of gavitation: Evey paticle attacts any othe paticle with a gavitation foce given

More information

CIRCULAR MOTION. Particle moving in an arbitrary path. Particle moving in straight line

CIRCULAR MOTION. Particle moving in an arbitrary path. Particle moving in straight line 1 CIRCULAR MOTION 1. ANGULAR DISPLACEMENT Intoduction: Angle subtended by position vecto of a paticle moving along any abitay path w..t. some fixed point is called angula displacement. (a) Paticle moving

More information

Force can be exerted by direct contact between bodies: Contact Force.

Force can be exerted by direct contact between bodies: Contact Force. Chapte 4, Newton s Laws of Motion Chapte IV NEWTON S LAWS OF MOTION Study of Dynamics: cause of motion (foces) and the esistance of objects to motion (mass), also called inetia. The fundamental Pinciples

More information

AP Physics 1 - Circular Motion and Gravitation Practice Test (Multiple Choice Section) Answer Section

AP Physics 1 - Circular Motion and Gravitation Practice Test (Multiple Choice Section) Answer Section AP Physics 1 - Cicula Motion and Gaitation Pactice est (Multiple Choice Section) Answe Section MULIPLE CHOICE 1. B he centipetal foce must be fiction since, lacking any fiction, the coin would slip off.

More information

Lecture 22. PE = GMm r TE = GMm 2a. T 2 = 4π 2 GM. Main points of today s lecture: Gravitational potential energy: Total energy of orbit:

Lecture 22. PE = GMm r TE = GMm 2a. T 2 = 4π 2 GM. Main points of today s lecture: Gravitational potential energy: Total energy of orbit: Lectue Main points of today s lectue: Gavitational potential enegy: Total enegy of obit: PE = GMm TE = GMm a Keple s laws and the elation between the obital peiod and obital adius. T = 4π GM a3 Midtem

More information

Voltage ( = Electric Potential )

Voltage ( = Electric Potential ) V-1 of 10 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage

More information

17.1 Electric Potential Energy. Equipotential Lines. PE = energy associated with an arrangement of objects that exert forces on each other

17.1 Electric Potential Energy. Equipotential Lines. PE = energy associated with an arrangement of objects that exert forces on each other Electic Potential Enegy, PE Units: Joules Electic Potential, Units: olts 17.1 Electic Potential Enegy Electic foce is a consevative foce and so we can assign an electic potential enegy (PE) to the system

More information