# Page 1. Name: Section This assignment is due at the first class in 2019 Part I Show all work!

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1 Name: Section This assignment is due at the first class in 2019 Part I Show all work! Page 1 1) A car travels at constant speed around a section of horizontal, circular track. On the diagram provided below, draw an arrow at point P to represent the direction of the centripetal acceleration of the car when it is at point P. 4) A 10.-kilogram rubber block is pulled horizontally at constant velocity across a sheet of ice. Calculate the magnitude of the force of friction acting on the block. [Show all work, including the equation and substitution with units.] 5) A manufacturer's advertisement claims that their 1,250-kilogram (12,300-newton) sports car can accelerate on a level road from 0 to 60.0 miles per hour (0 to 26.8 meters per second) in 3.75 seconds. (a) Determine the acceleration, in meters per second 2, of the car according to the advertisement. 2) In the scaled diagram below, two forces, F 1 and F 2, act on a 4.0-kilogram block at point P. Force F 1 has a magnitude of 12.0 newtons, and is directed toward the right. (b) Calculate the net force required to give the car the acceleration claimed in the advertisement. [Show all work, including the equation and substitution with units.] (c) What is the normal force exerted by the road on the car? (d) The coefficient of friction between the car's tires and the road is Calculate the maximum force of friction between the car's tires and the road. [Show all work, including the equation and substitution with units.] (a) Using a ruler and the scaled diagram provided, determine the magnitude of F 2 in newtons. (e) Using the values for the forces you have calculated, explain whether or not the manufacturer's claim for the car's acceleration is possible. (b) Determine the magnitude of the net force acting on the block. (c) Calculate the magnitude of the acceleration of the block. [Show all work, including the equation and substitution with units.] 3) Calculate the magnitude of the impulse applied to a 0.75-kilogram cart to change its velocity from 0.50 meter per second east to 2.00 meters per second east. [Show all work, including the equation and substitution with units.]

2 6) The combined mass of a race car and its driver is 600. kilograms. Traveling at constant speed, the car completes one lap around a circular track of radius 160 meters in 36 seconds Page 2 (a) Based on the given information, calculate the speed of the car. [Show all work, including the equation and substitution with units.] (b) Calculate the magnitude of the centripetal acceleration of the car in the given diagram. [Show all work, including the equation and substitution with units.] 7) An ice skater applies a horizontal force to a 20.-kilogram block on frictionless, level ice, causing the block to accelerate uniformly at 1.4 meters per second 2 to the right. After the skater stops pushing the block, it slides onto a region of ice that is covered with a thin layer of sand. The coefficient of kinetic friction between the block and the sand-covered ice is (a) Calculate the magnitude of the force applied to the block shown by the skater. [Show all work, including the equation and substitution with units.] (b) On the diagram below, starting at point A, draw a vector to represent the force applied to the block by the skater in the given experiment. Begin the vector at point A and use a scale of 1.0 centimeter = 5.0 newtons. (c) Determine the magnitude of the normal force acting on the block in the given experiment. (d) Calculate the magnitude of the force of friction acting on the block as it slides over the sand-covered ice. [Show all work, including the equation and substitution with units.]

3 8) The data table below describes the motion of an object moving in a straight line Page 3 (a) Plot the data points on the graph above. (b) Draw the line of best-fit on the graph above. (c) On the same grid, sketch a line representing an object decelerating uniformly in a straight line. (d) Based on your line of best-fit, what is the acceleration of the object?

4 Page 4 9) A 1.00-kilogram mass was dropped from rest from a height of 25.0 meters above Earth's surface. The speed of the mass was determined at 5.0-meter intervals and recorded in the data table below. Using the information in the data table, construct a graph on the grid provided following the directions below: (a) Mark an appropriate scale on the axis labeled "Height Above Earth's Surface (m)." (b) Plot the data points for speed versus height above Earth's surface. (c) Draw the line or curve of best fit. (d) Using your graph, determine the speed of the mass after it has fallen a vertical distance of 12.5 meters. Part II Show work or explain your answer. 10) If the sum of all the forces acting on a moving object is zero, the object will A) slow down and stop B) change the direction of its motion C) accelerate uniformly D) continue moving with constant velocity 11) Three forces act on a box on an inclined plane as shown in the diagram below. [Vectors are not drawn to scale.] If the box is at rest, the net force acting on it is equal to A) the weight B) zero C) friction D) the normal force

5 12) The diagram below shows a granite block being slid at constant speed across a horizontal concrete floor by a force parallel to the floor Page 5 15) Which vector diagram best represents a cart slowing down as it travels to the right on a horizontal surface? A) Which pair of quantities could be used to determine the coefficient of friction for the granite on the concrete? A) frictional force and normal force on the block B) frictional force and speed of the block C) mass and normal force on the block D) mass and speed of the block 13) The graph below represents the relationship between the forces applied to an object and the corresponding accelerations produced. B) C) What is the inertial mass of the object? A) 1.5 kg B) 2.0 kg C) 0.50 kg D) 1.0 kg 14) The diagram below shows a horizontal 8.0-newton force applied to a 4.0-kilogram block on a frictionless table. D) What is the magnitude of the block's acceleration? A) 9.8 m/s 2 C) 0.50 m/s 2 B) 32 m/s 2 D) 2.0 m/s 2 16) A mosquito flying over a highway strikes the windshield of a moving truck. Compared to the magnitude of the force of the truck on the mosquito during the collision, the magnitude of the force of the mosquito on the truck is A) the same C) larger B) smaller 17) A child is riding on a merry-go-round. As the speed of the merry-go-round is doubled, the magnitude of the centripetal force acting on the child A) remains the same B) is quadrupled C) is doubled D) is halved

6 18) An observer recorded the following data for the motion of a car undergoing constant acceleration Page 6 25) The data table below lists the mass and speed of four different objects. What was the magnitude of the acceleration of the car? A) 1.5 m/s 2 C) 1.3 m/s 2 B) 4.5 m/s 2 D) 2.0 m/s 2 19) A ball is thrown straight downward with a speed of 0.50 meter per second from a height of 4.0 meters. What is the speed of the ball 0.70 second after it is released? [Neglect friction.] A) 15 m/s B) 0.50 m/s C) 9.8 m/s D) 7.4 m/s 20) A golf ball is given an initial speed of 20. meters per second and returns to level ground. What launch angle above level ground results in the ball traveling the greatest horizontal distance? [Neglect friction.] A) 15D B) 60.D C) 45D D) 30.D 21) Two forces act concurrently on an object. Their resultant force has the largest magnitude when the angle between the forces is A) 90D B) 180D C) 30D D) 0D 22) Which one of the following bodies is in equilibrium? A) a cart rolling down a frictionless incline B) a block sliding at constant velocity across a tabletop C) a satellite moving around Earth in a circular orbit D) an apple falling freely toward the surface of Earth 23) A student pulls a 60.-newton sled with a force having a magnitude of 20. newtons. What is the magnitude of the force that the sled exerts on the student? A) 60. N B) 40. N C) 20. N D) 80. N 24) A 1,750-kilogram car travels at a constant speed of 15.0 meters per second around a horizontal, circular track with a radius of 45.0 meters. What is the magnitude of the centripetal force acting on the car? A) 3.94 x 10 5 N B) 8,750 N C) 5.00 N D) 583 N Which object has the greatest inertia? A) A B) B C) C D) D 26) What is the acceleration due to gravity at a location where a 15.0-kilogram mass weighs 45.0 newtons? A) 675 m/s 2 C) m/s 2 B) 9.81 m/s 2 D) 3.00 m/s 2 27) The diagram below represents two masses before and after they collide. Before the collision, mass m A is moving to the right with speed v, and mass m B is at rest. Upon collision, the two masses stick together. Which expression represents the speed, v1, of the masses after the collision? [Assume no outside forces are acting on m A or m B.] A) B) 28) The diameter of a United States penny is closest to A) 10-1 m B) 10-3 m 29) Which is a vector quantity? A) force B) speed C) D) C) 10-2 m D) 10 0 m C) power D) distance 30) A person is standing on a bathroom scale in an elevator car. If the scale reads a value greater than the weight of the person at rest, the elevator car could be moving A) upward at constant speed B) upward at increasing speed C) downward at increasing speed D) downward at constant speed

7 31) An airplane originally at rest on a runway accelerates uniformly at 6.0 meters per second 2 for 12 seconds. During this 12-second interval, the airplane travels a distance of approximately A) 72 m B) 220 m C) 430 m D) 860 m 32) A basketball player jumped straight up to grab a rebound. If she was in the air for 0.80 second, how high did she jump? A) 1.2 m B) 0.78 m C) 3.1 m D) 0.50 m 33) Objects A and B are dropped from rest near Earth's surface. Object A has mass m and object B has mass 2m. After 2 seconds of free fall, object A has a speed v and has fallen a distance d. What are the speed and distance of fall of object B after 2 seconds of free fall? A) speed = v; distance = d B) speed = ; distance = C) speed = 2v; distance = 2d D) speed = ; distance = 2d Page 7 37) The diagram below represents a 0.40-kilogram stone attached to a string. The stone is moving at a constant speed of 4.0 meters per second in a horizontal circle having a radius of 0.80 meter. What is the magnitude of the centripetal acceleration of the stone? A) 2.0 m/s 2 C) 5.0 m/s 2 B) 20. m/s 2 D) 0.0 m/s 2 38) A 60-kilogram car travels clockwise in a horizontal circle of radius 10. meters at 5.0 meters per second. 34) A projectile is fired with an initial velocity of 120. meters per second at an angle, t, above the horizontal. If the projectile's initial horizontal speed is 55 meters per second, then angle t measures approximately A) 27D B) 75D C) 63D D) 13D 35) An outfielder throws a baseball to the first baseman at a speed of 19.6 meters per second and an angle of 30.D above the horizontal. Which pair represents the initial horizontal velocity (v x ) and initial vertical velocity (v y ) of the baseball in the described situation? A) v x = 9.80 m/s, v y = 17.0 m/s B) v x = 19.4 m/s, v y = 5.90 m/s C) v x = 19.6 m/s, v y = 19.6 m/s D) v x = 17.0 m/s, v y = 9.80 m/s 36) A golf ball is hit at an angle of 45D above the horizontal. What is the acceleration of the golf ball at the highest point in its trajectory? [Neglect friction.] A) 9.8 m/s 2 downward B) 9.8 m/s 2 upward C) 6.9 m/s 2 horizontal D) 0.0 m/s 2 At the position of the car shown, toward which point is the centripetal acceleration of the car directed? A) A B) B C) C D) D

8 39) Which diagram best represents the gravitational field lines surrounding Earth? A) B) C) Page 8 40) A container of rocks with a mass of 65.0 kilograms is brought back from the Moon's surface where the acceleration due to gravity is 1.62 meters per second 2. What is the weight of the container of rocks on Earth's surface? A) 65.0 N B) 394 N C) 105 N D) 638 N 41) Ball A of mass 5.0 kilograms moving at 20. meters per second collides with ball B of unknown mass moving at 10. meters per second in the same direction. After the collision, ball A moves at 10. meters per second and ball B at 15 meters per second, both still in the same direction. What is the mass of ball B? A) 12 kg B) 6.0 kg C) 10. kg D) 2.0 kg 42) A mother pushes her 120-newton child, who is sitting on a swing. If the mother exerts a 10.-newton force on the child for 0.50 second, what is the magnitude of the impulse imparted to the child by the mother? A) 5.0 Nds B) 60. Nds C) 20. N/s D) 240 N/s D)

9 December 2018 review assignment Part IIIuntitled Name: Date: A 600 g basketball, a 57 g tennis ball, a 46 g golf ball, and a 2.7 g table tennis ball are moving with the same velocity. Which ball has the greatest momentum? A. golf ball B. basketball C. tennis ball D. table tennis ball 5. To calculate the momentum of a pickup truck with a velocity of 25 m/s east, it is also necessary to know which of the following? A. time elapsed B. drive force of the motor When these two freight cars of different mass collide and couple, what will be their resultant velocity? A. 1 m s B. 2 m s C. 4 m s D. 8 m s 2. The diagram depicts a 2-kg mass colliding with and sticking to a second box. C. mass of the pickup truck D. distance that the pickup travels 6. At an amusement park, bumper car X moves at a speed of 2.5 m/s toward car Y, which is at rest, as shown in the diagram below. What is the mass of the second box? A. 4 kg B. 6 kg C. 8 kg D. 9 kg 3. Which of the following has the least momentum? A. a 0.5 kg mass with a 1000 m/s velocity B. a 1 kg mass with a 100 m/s velocity C. a 10 kg mass with an 11 m/s velocity D. a 100 kg mass with a 2 m/s velocity Car X collides with car Y. How does the momentum of each car change after the collision? A. Car X s momentum increases, and car Y s momentum decreases. B. Car X s momentum decreases, and car Y s momentum increases. C. Car X s momentum is unchanged, and car Y s momentum increases. D. Car X s momentum is unchanged, and car Y s momentum decreases. page 1

10 7. What increases as a rock falls to the ground? A. the density of the rock B. the pull of gravity on the rock C. the inertia of the rock D. the momentum of the rock 8. On the surface of planet X, a body with a mass of 10. kilograms weighs 40. newtons. The magnitude of the acceleration due to gravity on the surface of planet X is A m/s 2 B m/s 2 C. 9.8 m/s 2 D. 4.0 m/s 2 9. A 7.0-kilogram cart, A, and a 3.0-kilogram cart, B, are initially held together at rest on a horizontal, frictionless surface. When a compressed spring attached to one of the carts is released, the carts are pushed apart. After the spring is released, the speed of cart B is 6.0 meters per second, as represented in the diagram below. 11. Base your answer to the following question on the information below and on your knowledge of physics. A cannonball with a mass of 1.0 kilogram is fired horizontally from a 500.-kilogram cannon, initially at rest, on a horizontal, frictionless surface. The cannonball is acted on by an average force of newtons for second. What is the magnitude of the change in momentum of the cannonball during firing? A. 0 kg m/s B kg m/s C kg m/s D kg m/s 12. What is the magnitude of the average net force acting on the cannon? A. 1.6 N B. 16 N C N D N 13. What is the magnitude of the average net force acting on the cannon? A. 1.6 N B. 16 N C N D N What is the speed of cart A after the spring is released? A. 14 m/s B. 6.0 m/s C. 3.0 m/s D. 2.6 m/s 14. What is the magnitude of the average net force acting on the cannon? A. 1.6 N B. 16 N C N D N 10. A rubber block weighing 60. newtons is resting on a horizontal surface of dry asphalt. What is the magnitude of the minimum force needed to start the rubber block moving across the dry asphalt? A. 32 N B. 40. N C. 51 N D. 60. N page 2 December 2018 review assignment Part IIIuntitled

11 15. The diagram below represents a ball projected horizontally from a cliff at a speed of 10. meters per second. The ball travels the path shown and lands at time t and distance d from the base of the cliff. [Neglect friction.] A second, identical ball is projected horizontally from the cliff at 20. meters per second. Determine the distance the second ball lands from the base of the cliff in terms of d. 16. A 65.0-kilogram astronaut weighs 638 newtons at the surface of Earth. What is the mass of the astronaut at the surface of the Moon, where the acceleration due to gravity is 1.62 meters per second squared? A kg B kg C. 105 N D. 638 N 17. When the sum of all the forces acting on a block on an inclined plane is zero, the block A. must be at rest B. must be accelerating C. may be slowing down D. may be moving at constant speed 18. A blue lab cart is traveling west on a track when it collides with and sticks to a red lab cart traveling east. The magnitude of the momentum of the blue cart before the collision is 2.0 kilogram meters per second, and the magnitude of the momentum of the red cart before the collision is 3.0 kilogram meters per second. The magnitude of the total momentum of the two carts after the collision is 19. A ball is hit straight up with an initial speed of 28 meters per second. What is the speed of the ball 2.2 seconds after it is hit? [Neglect friction.] A. 4.3 m/s B. 6.4 m/s C. 22 m/s D. 28 m/s 20. Which measurement is closest to meter? A. diameter of an atom B. width of a student s finger C. length of a football field D. height of a schoolteacher 21. A kilogram car traveling 20.0 meters per second east experiences an impulse of newton seconds west. What is the final velocity of the car after the impulse has been applied? A m/s east B m/s east C m/s west D m/s west A. 1.0 kg m/s B. 2.0 kg m/s C. 3.0 kg m/s D. 5.0 kg m/s page 3 December 2018 review assignment Part IIIuntitled

12 22. Base your answer to the following question on the information and diagram below and on your knowledge of physics. As represented in the diagram below, a constant 15-newton force, F, is applied to a 2.5-kilogram box, accelerating the box to the right at 2.0 meters per second squared across a rough horizontal surface. 25. While taking off from an aircraft carrier, a jet starting from rest accelerates uniformly to a final speed of 40. meters per second on a runway that is 70. meters long. What is the magnitude of the acceleration of the jet? A m/s 2 B m/s 2 C. 1.8 m/s 2 D. 11 m/s 2 Determine the magnitude of the force of friction on the box. 23. The graph below represents the relationship between weight and mass for objects on the surface of planet X. 26. A 6.0-kilogram cart initially traveling at 4.0 meters per second east accelerates uniformly at 0.50 meter per second squared east for 3.0 seconds. What is the speed of the cart at the end of this 3.0 second interval? A. 1.5 m/s B. 5.5 m/s C. 3.0 m/s D. 7.0 m/s 27. A soccer ball is kicked into the air from level ground with an initial speed of 20. meters per second and returns to ground level. At which angle above the horizontal should the ball be kicked in order for the ball to travel the greatest total horizontal distance? [Neglect friction.] A. 15 B. 30. C. 45 D Starting from rest, a car travels 18 meters as it accelerates uniformly for 3.0 seconds. What is the magnitude of the car s acceleration? A. 6.0 m/s 2 B. 2.0 m/s 2 Determine the acceleration due to gravity on the surface of planet X. 24. A 12.0-kilogram cart is moving at a speed of 0.25 meter per second. After the speed of the cart is tripled, the inertia of the cart will be A. unchanged B. one-third as great C. three times greater D. nine times greater C. 3.0 m/s 2 D. 4.0 m/s A ball is rolling horizontally at 3.00 meters per second as it leaves the edge of a tabletop meter above the floor. The ball lands on the floor second after leaving the tabletop. What is the magnitude of the ball s acceleration second after it leaves the tabletop? [Neglect friction.] A m/s 2 B m/s 2 C m/s 2 D m/s 2 page 4 December 2018 review assignment Part IIIuntitled

13 30. A golf club hits a stationary kilogram golf ball with an average force of newtons, accelerating the ball to a speed of 44 meters per second. What is the magnitude of the impulse imparted to the ball by the golf club? A. 2.2 N s B. 880 N s C N s D N s 31. A tennis player s racket applies an average force of 200. newtons to a tennis ball for second. The average force exerted on the racket by the tennis ball is A N B. 5.0 N C N D N 32. The diagram below represents a box sliding down an incline at constant velocity. 34. The height of an individual step on a staircase is closest to A m B m C m D m 35. A kilogram cart traveling to the right on a horizontal, frictionless surface at 2.20 meters per second collides head on with a kilogram cart moving to the left at 1.10 meters per second. What is the magnitude of the total momentum of the two-cart system after the collision? A kg m/s B kg m/s C kg m/s D kg m/s 36. An object weighing 2.0 newtons is pushed across a horizontal, frictionless surface by a horizontal force of 4.0 newtons. The magnitude of the net force acting on the object is A. 0.0 N B. 2.0 N C. 8.0 N D. 4.0 N Which arrow represents the direction of the frictional force acting on the box? A. A B. B C. C D. D 33. The speed of a car is increased uniformly from 11 meters per second to 19 meters per second. The average speed of the car during this interval is A. 0.0 m/s B. 15 m/s C. 30. m/s D. 4.0 m/s page 5 December 2018 review assignment Part IIIuntitled

14 37. Which pair of graphs represents the vertical motion of an object falling freely from rest? A. 38. Base your answer to the following question on the information below and on your knowledge of physics. The scaled diagram below represents two forces acting concurrently at point P. The magnitude of force A is 32 newtons and the magnitude of force B is 20. newtons. The angle between the directions of force A and force B is 120. B. C. D. Determine the linear scale used in the diagram. 39. On the diagram above, use a protractor and a ruler to construct a scaled vector to represent the resultant of forces A and B. Label the vector R. 40. Determine the magnitude of the resultant force. page 6 December 2018 review assignment Part IIIuntitled

15 41. Base your answer to the following question on the information and diagram below and on your knowledge of physics. A 150-newton force, applied to a wooden crate at an angle of 30. above the horizontal, causes the crate to travel at constant velocity across a horizontal wooden floor, as represented below. 44. Base your answer to the following question on the information below and on your knowledge of physics. On a flat, level road, a 1500-kilogram car travels around a curve having a constant radius of 45 meters. The centripetal acceleration of the car has a constant magnitude of 3.2 meters per second squared. Calculate the car s speed as it travels around the curve. [Show all work, including the equation and substitution with units.] Calculate the magnitude of the horizontal component of the 150-newton force. [Show all work, including the equation and substitution with units.] 42. Determine the magnitude of the frictional force acting on the crate. 43. Calculate the magnitude of the normal force exerted by the floor on the crate. [Show all work, including the equation and substitution with units.] 45. Determine the magnitude of the centripetal force acting on the car as it travels around the curve. 46. What force provides the centripetal force needed for the car to travel around the curve? 47. Describe what happens to the magnitude of the centripetal force on the car as it travels around the curve if the speed of the car decreases. page 7 December 2018 review assignment Part IIIuntitled

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