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