Final (3.4)(2.54) = ( )( ) = x = max+ mv 2. + at 2 d. mv = xma t. Name: Class: Date:

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1 Name: Class: Date: Final Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the result of this calculation: (3.4)(2.54) = a c b. 8 d Which of these is the proper solution, in decimal notation and with proper significant figures, of this calculation? ( )( ) = a d. 45,138,900 b. 45,000,000 e c Which of these equations is dimensionally correct? (x is distance, m is mass, a is acceleration, v is velocity, t is time, F is force in Newtons) a. F = m v t + x t m c. mv t b. v = v o + at 2 d. mv = xma t 4. Convert 100 mg to kg. (100 mg =?? kg) a kg d. 1 kg b. 0.1 kg e kg c kg 5. In square centimeters, what is the area of your hand? x = max+ mv 2 a cm 2 c. 10 cm 2 b cm 2 d. 100 cm 2 1

2 Name: 6. Consider this triangle. If a=30 cm and b=20 cm, what is the angle θ? a. 18 c. 19 b. 71 d Your hair grows at a rate of 1/32 inch per day. Express this rate of growth in micrometers per seconds (µm/s). (1 inch= m) a µm/s d µm/s b µm/s e µm/s c. 9.2 µm/s 2

3 Name: 8. Describe the motion of the particle shown in this graph a. decreasing, positive velocity d. zero velocity b. increasing velocity e. decreasing, negative velocity c. constant, negative velocity 9. This graph shows the motion for a particle. What is the particle s instantaneous acceleration at t=70s? a m/s 2 d. 1 m/s 2 b. 0.3 m/s 2 e. -1 m/s 2 c. 0 m/s You throw a stone straight up into the air. The stone rises to its maximum height of 10 m in 1 second. With what initial velocity did you throw the stone? a. 5 m/s d. 10 m/s b. 0 m/s e. 9 m/s c m/s 11. If the speed of an object is zero, does its velocity have to be zero? a. No c. Not enough information b. Yes 3

4 Name: 12. You throw a ball straight up; it goes up and returns to your hand. Which of these plots best describes the motion of the ball from the moment you release it to the moment you catch it? a. c. b. d. 13. You are on a planet where the acceleration due to gravity is 100 m/s 2. You throw a ball upwards at an initial velocity of 15.0 m/s. The ball is in the air for 0.30 seconds. What is the velocity of the ball just before it returns to your hand? a. 15 m/s c. 5 m/s b. 50 m/s d. 20 m/s 14. A brick is thrown from the top of a building at an angle of 0 to the horizontal and with an initial speed of 3 m/s. If the brick is in flight for 2.0 s, what is the magnitude of the ball s final velocity? a. -20 m/s c. 3 m/s b. 23 m/s d. 20 m/s 4

5 Name: 15. While exploring a cave a spelunker starts at the entrance and moves the following distances: 50.0 m west, 20.0 m at an angle 10.0 north of west, and 100. m north. What is the magnitude of his resultant displacement? a. 120 m c. 131 m b. 125 m d. 108 m 16. A certain vector has a y-component which is equal to its x-component; both the x- and y-components are positive and nonzero. Which of these is a possible angle for the vector with respect to the x-axis? a. 90 c. 30 b. 60 d A cart is being pulled at a constant velocity. A cannon in the cart fires directly overhead. Where does the cannonball fall? a. in the cart c. in front of the cart b. behind the cart d. not enough information 5

6 Name: 18. This figure shows the vectors A and B. What is the resultant vector of A+B? a. c. b. d. 6

7 Name: 19. Two blocks are fastened to the ceiling of an elevator as in this figure. The elevator accelerates upward at an acceleration of 1.0 m/s 2. What is the tension in the upper rope? a. 196 N c. 296 N b. 216 N d. 108 N 20. The normal force on an object is always: a. perpendicular to the surface on which the object sits d. opposite the direction of the object s motion b. abnormally large e. in the upward direction c. equal to the gravitational force 21. We step on the accelerator of our Subaru providing a force F on the car for a time of 10 seconds and speeding 1 it up to a final speed of 60 miles/hour. If the applied force were F, what would be the final speed after 10 2 seconds? a. 90 miles/hour c. 30 miles/hour b. 120 miles/hour d. 60 miles/hour 7

8 Name: 22. A force of 5 N at an angle of 45 is applied to a wooden block. This force causes the block to move 2 meter. What is the work done by the force a. 9 J c. -10 J b. 7 J d. 10 J 23. A 16 kg dog runs at 2 m/s. What speed must a 1 kg rat have in order to have the same kinetic energy as the dog? a. 8 m/s c. 16 m/s b. 4 m/s d. 3 m/s 24. In this figure, the bead has a mass of 1 kg and is at rest at point A. It goes down the slope. What is its velocity at point B? 25. a m/s c m/s b m/s d m/s In this figure, the spring has a spring constant of 1000 N/m. The hand compresses the block-spring system to the left by 50 cm. What is the force, F ä, exerted on the block by the hand? a. 500 N d. 50,000 N b N e N c. -5,000 N 8

9 Name: 26. A car starts from rest and accelerates to 50 miles per hour (mph). Later it gets on the highway and accelerates to 100 mph. Which takes more energy: accelerating from 0 50 mph or mph? a. both the same c mph b mph 27. A net force of 100 N acts on a 200 kg boulder, and a force of the same magnitude acts on a 10 g pebble. How does the rate of change of momentum for the boulder compare to the rate of change of the pebble s momentum? a. less than c. equal to b. greater than d. not enough information 28. A uranium nucleus is at rest and undergoes fission and splits into two fragments, one heavy and one light. Which of these statements is true? a. the lighter and heavier fragments have the same velocity (but in opposite directions) b. the lighter fragment has a higher velocity d. the lighter fragment has more momentum than the heavy one e. None of these are correct than the heavy one c. the heavier fragment has a higher velocity than the light one 29. You have a mass of 90 kg, and you hold a gun with mass of 10 kg. You fire a 1 kg cannon ball with a muzzle velocity of 100 m/s. What is the magnitude of the velocity of you and the gun? a. 1 m/s c m/s b. 0 m/s d. 0.1 m/s 9

10 Name: 30. Superman catches Lois, who has a mass of 50 kg, as she falls from a skyscraper. Lois is traveling at 10 m/s, and Superman brings her to a stop in 0.5 seconds. What is the magnitude of the force that Superman exerts on Lois? a. 100,000 N c. 10 N b. 250 N d. 1,000 N 31. A collection of particles has a total momentum of zero. What can we say about the kinetic energy of the system? a. the kinetic energy is negative d. the kinetic energy is either positive of negative, depending on the mass of the particles b. the kinetic energy is zero e. Not enough information c. the kinetic energy is positive 32. Kaisa sits on the outer rim of a merry-go-round, and Chad sits midway between the rim and center. The merry-go-round makes 1 revolution every 2 seconds. Kaisa s angular velocity is... a. same as Chad s d. one-quarter of Chad s b. one-half of Chad s e. four times Chad s c. twice Chad s 10

11 Name: 33. A car rounds a curve on a flat road. The coefficient of static friction between the road and tires is If the curve has a radius of 50. meters, what is the maximum safe speed at which the car can round the curve? a. 49 m/s c. 7 m/s b. 19 m/s d. 500 m/s 34. A dentist s drill starts at rest and undergoes an angular acceleration of 10 rad/s 2 for 3 seconds. What is the drill s angular velocity after this time? a. 3 rad/s c. 30 rad/s b. 50 rad/s d. 45 rad/s 35. This figure shows an arrangement of 3 particles rotating about a common axis. The axis bisects the 2 kg mass. The 3 kg mass is 3 m from the axis, and the 4 kg mass is 2 m from the axis. What is the moment of inertia? a. 45 kg m 2 c. 19 kg m 2 b. 43 kg m 2 d. 17 kg m 2 11

12 Name: 36. A ring has a mass of 10 kg and a radius of 1 m. It rotates about its central axis and accelerates up to an angular velocity of 0.5 revolutions/second, with an acceleration of 0.02 rev/s 2. What work is required to bring the ring up to this speed? a J c. 25 J b. 1 J d. 50 J 37. This figure shows the human arm. The forearm rotates about the elbow (point O), and the biceps exerts a force on the ulna at 0.03 m from the elbow. The total length of the forearm and hand is 0.35 m. If the bicep can only exert a force of 500 N, what is the maximum mass of the ball that the person can hold in equilibrium? (Assume the bicep exerts a force that is perpendicular to the forearm.) a. 50 kg c. 4.4 kg b. 580 kg d. 43 kg 12

13 Name: 38. What are the units for torque? a. kg m 2 c. kg m b. kg m/s d. N m 39. This figure shows a hydraulic lift. The area A 1 is 0.01 m 2, and the area A 2 is 1.0 m 2. If the truck weighs 20,000 N, what is the force F 1 required to lift the truck? a. 10,000 N c. 200 N b. 20,000 N d. 2,000,000 N 40. A tendon in your arm, without any pressure on it, has a length of 0.10 m. The cross sectional area is 0.75 cm 2 (= m 2 ) By how much does it stretch (in cm) when a force of 100 N is applied to it? (The Young s modulus for a tendon is Pa) a. 0.7 cm c. 1.3 cm b. 0.4 cm d. 7.5 cm 41. While swimming near the bottom of a pool, you let out a small bubble of air. What happens to the pressure of the air in the bubble as it rises to the top of the pool? a. it decreases c. not enough information b. it stays the same d. it increases 13

14 Name: 42. A 1 kg mass of wood floats fully submerged in a tank of water. What is the buoyant force on the wooden block? (The density of water is 1000 kg/m 3. The density of this wood is 900 kg/m 3.) a N c. not enough information b. 1 N d. 9.8 N 43. You want to take apart a couple of bronze parts held together by steel screws, but have become stuck. What should you do? (The coefficient of linear expansion for steel is ºC -1. The coefficient of linear expansion for bronze is ºC -1. ) a. heat only the screws c. heat it up b. none of these will work d. cool it down 44. A steel tape is marked such that it gives accurate measurements at room temperature. If the tape measure is used at very hot temperatures, how will its length measurements be affected? a. measured lengths will be accurate c. measured lengths will be too large b. measured lengths will be small d. not enough information 45. A rigid container has a volume of 0.5 m 3 and holds 30 moles of gas at 1 atmosphere. What is the temperature of the gas in degrees Celsius? (The ideal gas constant is J/(mol K). 1 atm = 1x10 5 Pa.) a. 20ºC c. 0ºC b. 200ºC d. -73ºC 46. Water has a higher specific heat than sand. Therefore, on the beach during the night, the breezes blow a. either way, depends only on the weather c. from beach to ocean b. from ocean to beach d. none of these 14

15 Name: 47. You put 200 g of copper at 0ºC in 1000 g of water at 100 ºC. What is the final equilibrium temperature? (The specific heat of water is 1 cal/(g ºC). The specific heat of copper is cal/(g ºC). The latent heat of vaporization for water is 540 cal/g.) a. 87 ºC c. 43 ºC b. 98 ºC d. 105 ºC 48. At some point our Sun will become a red giant and its temperature will decrease. Assume it stays the same size. If its temperature decreases by a factor of 2, by what amount will the power it emits change? a. decrease by a factor of 16 d. decrease by a factor of 4 b. decrease by a factor of 2 e. increase by a factor of 16 c. increase by a factor of You drop a 1 kg silicon ball, at a temperature of 10ºC, from a height of 100 m. By what temperature does it increase if all of the potential energy (PE=mgh) is converted to heat in the ball? (The specific heat of silicon is 703 J/(kg ºC). ) a. 3ºC c. 12ºC b. 0.1ºC d. 1.4ºC 50. Bubble A for this answer. a. A c. C b. B d. D 15

16 Final Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 2. ANS: E PTS: 1 3. ANS: C PTS: 1 4. ANS: A PTS: 1 5. ANS: D PTS: 1 6. ANS: D PTS: 1 7. ANS: B PTS: 1 8. ANS: E PTS: 1 9. ANS: E PTS: ANS: A Easy one-step problem, kinematics PTS: ANS: B PTS: ANS: A PTS: ANS: A PTS: ANS: D HW PTS: ANS: B HW PTS: ANS: D CT PTS: ANS: A CT PTS: ANS: A HW PTS: ANS: B HW PTS: 1 1

17 20. ANS: A CT PTS: ANS: C PTS: ANS: B PTS: ANS: A PTS: ANS: D PTS: ANS: E PTS: ANS: B PTS: ANS: C PTS: ANS: B PTS: ANS: A PTS: ANS: D PTS: ANS: E PTS: ANS: A PTS: ANS: C PTS: ANS: C PTS: ANS: B PTS: ANS: D PTS: ANS: C PTS: ANS: D PTS: ANS: C PTS: ANS: A PTS: ANS: A PTS: ANS: D PTS: ANS: C PTS: ANS: B PTS: ANS: D PTS: ANS: C PTS: ANS: B PTS: ANS: A PTS: ANS: D PTS: ANS: A PTS: 1 2

Final Exam. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Final Exam. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. Class: Date: Final Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Two blocks are fastened to the ceiling of an elevator as in this figure. The elevator