AP 15-16 Midterm Review - virt.wcskids.netvirt.wcskids.net/mmstc/staff_websites/mcmillan files/AP Physics/15... · A rock is thrown from the edge of a cliff with a horizontal ...

AP 15-16 Midterm Review

1) Which stage(s) of the following displacement vs. time graphs displays positive acceleration?

2) Which of the following Velocity vs. time graphs displays negative acceleration?

A) Stage 1 B) Stage 2 C) Stage 3 D) Stage 4 E) Stage 4 3) Draw the corresponding velocity vs. time graph? 4) A ball is thrown upwards into the air with a velocity v. It lands at the same position it was released. It lands at what time? 5) A car and truck stop at an intersection accelerate away from the intersection at the same rate. If the car accelerates twice the time as the truck, the distance the car travels is__ the truck distance. 6) Which section of the following velocity vs. time graph shows the greatest displacement?

7) Which section of the Velocity vs. time graph above displays a change in direction?

8) Which section of the Velocity vs. time graph above displays a the largest acceleration? 9) What is the displacement from 20-30s?


10) A ball is thrown upwards into the air with a velocity v. It is airborne for Δt seconds. It lands at the same position it was released. The acceleration of an object at the top of its rise is __. 11) A ball is thrown upwards into the air with a velocity v. It is airborne for Δt seconds. It lands at the same position it was released. The maximum height of the ball is_____. 12) Car with positive velocity slows to a stop. Describe the displacement and acceleration. 14) Describe the motion demonstrated in each of the graphs below.

15) A stone is thrown vertically down from the top of a tall building. The path it follows is __. A) Circular B) hyperbolic C) parabolic D) a straight line A rock is thrown from the edge of a cliff with a horizontal as shown. P is maximum height; Q is level with the starting point. P

Q 16) Which of the following correctly describes the horizontal and vertical speeds and acceleration at point P? 17) Which of the following correctly describes the horizontal and vertical speeds and acceleration at point Q? 18) A student rolls a ball off the table with at speed of 4m/s. The height of the table is 20m. The range of the projectile is __.


19) A particle moves in a circular path at a constant speed. The acceleration is ___to the speed. 20) Particle moves in a circular path at a constant speed (V) and radius (R). Both the speed and radius are doubled. The centripetal acceleration of the particle__. . 21) A brick is thrown horizontally off the edge of a cliff. It hit the ground a 45o angle. The vertical velocity is 20m/s. The initial speed of the particle is __. 22) An object moves in a circular path of radius 2π and a constant speed of 2.0 m/s. the Rime required for one revolution is___. 23) Bullet A is fired horizontally for the gun. A bullet B is dropped for the same height. Compare the range, air time and velocity components of each bullet/ 24) A particle moves in a circular path at a constant speed. The acceleration is ___to the radius.

25) Two projectiles are launched with the same initial speed, from the same location, one at a 30o angle and the other at a 60o angle with the horizontal. How does the respective Ranges (R) and times in the air (T) compare? 26) A boat is traveling west at 40 m/s, then turns and travels east 20 m/s. The change in velocity is__.

27) A boy wishes to row across a river in the shortest possible time. He can row at about 2 m/s. the river flow at 1 m/s. Which direction should he aim his boat?

28) A boy wishes to row across a river with the greatest velocity. He can row at about 2 m/s. the river flow at 1 m/s. Which path below should he choose?

29) Two projectiles are launched with the same initial speed, from the same location, one at a 30o angle and the other at a 60o angle with the horizontal. They land at the same height at which they were launched. How does the respective maximum heights (H) and times in the air (T) compare? 30) A circus performer of weight (W) is walking on a high wire. How does the tension compare to the weight? 31) A 90 kg physics text book is on a scale in an elevator. The reading on the scale increases when __. 32) Several Forces act on an object that is in equilibrium. What can True? (List all that Apply) 33) A Block of mass M on a horizontal table is connected to a hanging mass m by a string that passes over a pulley as shown. The acceleration of the blocks is 0.6g. Assume zero friction. The Tension on the String is __.


34) A 3 N force act on a rock due south. A 4 N force acts on the rock due East. The net force on the rock is ___. 35) A kitten of mass m is thrown straight up. At the top of its path, the magnitude of the net force acting on it is__. 36) A cable pulls an elevator upwards so the elevator is losing speed. The Tension on the cable is____ 37) You are standing in a bus, facing forward, and you suddenly fall backward. You can imply from this that the bus 38) An object of mass 100kg is initially at rest on a horizontal frictionless surface. At t=0, a horizontal force of 10N is applied for 1 second and then removed. Describe its velocity and acceleration after 2 seconds. 39) A Car crashes into a Truck. The Truck has 10 times the mass of the car. Describe the acceleration and force on eah vehicle.

40) What is the net force on the diagram below?

41) In which diagram below is the Tension on the chain the greatest?


42) A rocket moves through empty space in a straight line with constant speed. It is far from the gravitational effect of any star or planet. Under these conditions, the force that must be applied to the rocket in order to sustain its motion is 43) A net force F accelerates a mass m with an acceleration a. If the same net force is applied to mass 2m, then the acceleration will be 44) A golf club hits a golf ball with a force of 2400 N. The golf ball hits the club with a force 45) Static Friction is always _____ kinetic friction. A) Greater than B) Less than C) Equal to 46) A skier slides down a hill at and angle of θ at constant speed of 25 m/s. If air resistance is negligible, the coefficient of friction between the skis and the snow is __. 47) Describe the acceleration of an object moving in a circle at a constant speed. 48) A cat of mass m slides across a table. It slows to a stop with an acceleration of a. The coefficient of friction between the cat and the table is___.

49) A ball of mass M is thrown upward with an initial velocity of vo.. It experiences a force of air resistance of f=kv, where k is a constant. The magnitude of the acceleration of the ball ____ as the ball moves upward. 50) A race car is traveling around a banked curve at the maximum possible velocity. The direction of the force of friction acting on the car is ___ 51) A Block of mass M is accelerated horizontally along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. The normal force exerted on the block is __. 52) When the brakes of an automobile are applied, the road exerts the greatest frictional force is applied when__. 53) An object moves in a circle with a constant speed. If velocity is doubled and the radius is doubled, the centripetal force ___. 54) A ball of mass M is thrown upward with an initial velocity of vo. It experiences a force of air resistance of f=kv, where k is a constant. The Does it take longer for the ball to rise to maximum height, or to fall from its maximum height? 55) A Block of mass M is pulled at constant speed along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. The net force is __. 56) A Block of mass M is pulled at constant speed along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. The force of friction is __.


57) A Block of mass M is accelerated horizontally along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. The net force is __. 58) A giant wheel, having a diameter of 40m, is fitted with a cage and platform on which a man of mass m stands. The wheel is rotated in a vertical plane (loop-ity-loop) at such speed that a force exerted by the man on the platform is equal to twice his weight when the cage is at the top of a loop. The net force on the man is___. 59) When a certain spring is stretched by an amount x, it produces a reducing force F(x) =ax+bx2, where a and b are constants. How much work is done by an external force in stretching the spring an amount D from equilibrium?

60) An Ideal Spring is fixed to wall at one end as shown. A block of Mass M attached to the other end of the spring oscillates with amplitude of A on a frictionless horizontal surface. The maximum speed of the block is v. The force constant of the spring is __.

61) When a block slides a certain distance down an incline the work done by gravity is 300J. What is the work done by gravity as slides the same distance up the incline?

62) A student holds one end of a string in a fixed position. A ball of mass 0.2kg is attached to the other end and moves in a horizontal circle of radius 0.5m at a constant speed of 5.0 m/s. How much work is done on the ball by the string during one revolution? 63) For a particular nonlinear spring, the relationship between magnitude of applied force and displacement from equilibrium (x) is given by the equation F=kx2. What is the amount of work done stretching a spring a distance xo? 64) The velocity of an object changes from -4m/s to +2m/s. The total work done on the object is_.

65) A weightlifter holds a 70 kg weight 2m above his above the ground for time of 7s. Power exerted by the weightlifter is __. 66) A man pulls a sled along a rough flat surface by applying a consent force F at an angle of θ above the horizontal. In pulling the sled a distance d, the work done by the man is __. 67) A man pulls a sled of mass m along a rough flat surface at a constant speed. by applying a constant force F at an angle of θ above the horizontal. In pulling the sled a distance d, the work done by the normal force is __. 68) A man pulls a sled of mass m along a rough flat surface at a constant speed. by applying a constant force F at an angle of θ above the horizontal. In pulling the sled a distance d, the work done by the friction is __.

69) A block of mass m is at rest on a hill of height h, the block slides down the hill. The maximum speed of the block is__?


70) The potential energy of a particle is given by U(x)=1+2x. The force acting on the particle when x=1 is __. 71) The Diagram below show a plot of potential energy as a function of x for a particle moving along the x-axis. The points of stable equilibrium are:

72) A particle is released from rest at point B. The velocity is maximum at what point? 73) A particle is released from rest at point G. The What direction will it move? 74) The force at point A is__. 75) A man pulls a sled of mass m along a rough flat surface at a constant speed. by applying a constant force F at an angle of θ above the horizontal. In pulling the sled a distance d, the work done by the normal force is __. 76) When an object loses potential energy, the total work done on the object is__. 77) When an object loses kinetic energy, the total work done on the object is__. 78) When an object moves at a constant velocity, the total work done on the object is__. 79) A toy Canon on a cart (mass M) both move with a speed v along a straight track. The cannon fires a projectile of mass m. The cannon and cart come to rest. What is the speed of the projectile after it is fired. 80) A toy car (m=6 kg) is moving at 4 m/s. It experiences a net force of (F=-3t) The car will come to rest in time t=____s.


81) The Graph above shows a Force acting as a Function of time. The change in momentum from 0 to 20 seconds is___.

82) A 10 kg ball moving at +4 m/s collides with a ball of unknown mass initially at rest. The collision is Elastic. The 10 kg ball slows to +2 m/s. The velocity of the unknown mass after the collision is ___. 83) Two people (m=120, m=60) are standing on frictionless ice. They push each other so the person of mass 120 kg moves to left at 2 m/s. The person of mass 60 kg moves at what speed. 84) An object of mass m is moving along the +x-axis with a velocity v, second object of equal mass is moving along the +y-axis with the same velocity. They experience a completely inelastic collision. What direction do they travel after the collision? 85) A cart of mass m is moving at speed v. It experiences a perfectly inelastic collision with a second cart of equal mass. The final velocity of the two cart mass is___. 86) A cart (c1) of mass m is moving at speed v. It experiences a perfecty elastic collision with a second (c2) cart of equal mass. The final velocity of each cart i is___. 87) A ball hits a wall and rebounds as shown. In what direction in the change in momentum? A) ← B)↑ C)→ D) ↓ E)⃝

88) A man sitting in the front of a canoe in still still water. He then moves to the back of the canoe. As he moves to rear of the canoe, the canoe__ 89) A man sitting in the front of a canoe in still still water. He then moves to the back of the canoe and sits down. After he sits down, the canoe__.

90) A projectile in flight explodes into several fragments, as shown above. The total momentum of the fragments after the explosion is__. 91) An airbag in an automobile is designed to protect he passenger of a car during a collision by__.


92) A Ball with 25 kg m/s of momentum collides with a ball of mass 6 kg initially at rest. If the momentum of the 6 kg ball is 10 kg m/s after the collision, what is the momentum of the first ball after the collision? PART B) Answer the following questions on the back of your answer sheet. SHOW YOUR WORK 1) The Position of particle is given by x = 3t - 6t2 +4 a) What is the average velocity between zero and 2.0 seconds? b) What is the instantaneous velocity at t= 2sec c) When does the particle change directions? d) What is the acceleration of the object when it changes directions? e) Sketch a d-t graph v-t graph, and a-t graph that describes the motion of the particle. 2) The velocity of a cat is given by the equation v = 8t-2 t2 (t=0, d=4) a) Write an equation for the acceleration of the cat.

b) What is the acceleration of the cat at t = 3 s. c) Write an equation for the displacement of the cat 3) The acceleration of a mouse is given by the equation a = 6t--4 at t= 1.0s the velocity of the mouse is v =3 m/s and at a position of d=10 m a) Write an equation for the velocity of the mouse

b) Write an equation for the displacement of the mouse. 4) A hot air balloon is rising at a rate of 15m/s and is 50 m above the ground. A cat is dropped from the balloon. A) How long does it take the cat to reach the ground? B) How fast is it moving when it hits the ground? C) What is the maximum height of the cat above the ground? 5) A sweet brand new station wagon is driving at 10.0 m/s down the high way. It passes a police officer who doesn't appreciate the speed and beauty of the wagon. The cop starts from rest to accelerate at 4.00 m/s2 after the wagon has gone 50 m.

A) Sketch a distance time graph to represent the motion of the police car and station wagon

B) When does officer catch the wagon? C) How fast is the officer moving? 6) The road runner is moving at a speed of 15m/s as he approaches a cliff. Waiting on the top of the 50 m cliff is the Wiley Coyote with an anvil to drop on the road runner. How far away should the road runner be when he drops the anvil?


7) A super frog is trying to cross a pond. It accelerates at constant rate from rest as it crosses the pond in a time of 8 seconds. During the second 5 seconds it travels 113 m. What is the acceleration of the frog? 8) A bullet is fired horizontally from a distance of 350 m directly toward the bull’s-eye of a dart board. It hits the board 1.50 m below the bulls-eye. What was the initial velocity of the bullet? 9) Two rookie spies are tested for gravitational tolerance. They are placed in a capsule that spins with a radius of 7.00 m. At the point they feel 3.0g’s, (5.0 the acceleration of gravity) a) What is the velocity of the spies at this point?

b) They are gaining speed at rate of 7.0 m/s2.What is the total acceleration of the spies at this point?

10) A baseball is hit with a velocity of 40 m/s at and angle of 40o above the horizontal. It hits a fan in the stands a horizontal distance of 140 meters away.

a) How much time did the fan have to react? b) What is the height of the Baseball at the time it hits the fan? b) Was it rising or falling? Explain how you decided.

11) An Acorn Rolls off the roof of a house with a speed of 8.00 m/s. The roof has an angle 30o BELOW the Horizontal, and the edge of the roof is 12.0 m above the ground. A) How long is the acorn in the air? B) How far from the edge of the roof does the acorn land? 12) The Gravitron at the corner carnival has a radius of 3.0m and a centripetal acceleration of 4.5 m/s2. What is its period of rotation? (How much time does it take to complete one rotation?) 13) A can of soda is tossed across the room to buddy. The ceiling has a height of H, and the can is toss with a speed √(8gH). a) What is the maximum angle from the horizontal the can is able to be tossed? b) What is the maximum range of the can of soda? 14) At what angle does the range of a projectile equal twice the height? 15) While driving through the rural country side, a 800 kg car is traveling at 25.0 km/h. Suddenly, a tree jumps into the road and forces the car to a stop in 1.02 m. a) What force does the tree exert on the car? b) What force is needed to stop the 65 kg driver of car in the same distance? ________________________________________________________________________ 16) A 650 kg elevator is capable of acceleration upwards or downwards at 1.05 m/s2. A) Draw a force Diagram of the system B) What is the Tension on the cable as it accelerates up wards? C) What is the tension on the cable as it rises at a constant velocity? ________________________________________________________________________


17) A cannon is used to fire frozen geese toward jet engines. The displacement of the frozen geese is given by x=(8.50 x103)t2 – (7.5x104)t3

a) What is the displacement of a frozen goose after 0.018s? b) What force is exerted on the goose at t=0.00s? c) What force is exerted on the goose at t=0.018s?

18) Two masses hang over a pulley as shown in the diagram below. (m1 = 5m, m2=3m.)

A) Draw a force diagram of the each block b) What is the acceleration of the system c) What is the tension on the string

________________________________________________________________________ 19) A block A of mass 6.0 kg rests on a flat frictionless table. It is attached by a string to a mass B of 2.0 kg .

A) Draw a Force Diagram for each object. B) What is the acceleration of the system D) What is the tension on rope ?

________________________________________________________________________ 20) The 10 kg sign is held in the air with two chains that make an angle of 60o to the vertical. A) Draw a Force Diagram of the sign. B) What is the tension on each chain? __________________________________________________________________________


21) What is the tension on each rope in the diagram below? (θ = 30o)

22) An iPhone (m=0.25kg) is dropped into a well filled with a viscous medium. The fluid provides a drag force of f=1.50v. a) Draw a force diagram of the iPhone in the fluid. b) Find the acceleration if the speed is v =2.0 m/s. c) What is the terminal velocity of the phone? 23) A 75 pilot flies in vertical loops with a constant velocity of 40 m/s and a radius of 100m a) Draw a force diagram of the pilot at the bottom of the loop. b) What is the normal force acting on the pilot at the bottom of the loop? 24) A greyhound bus hit a zombie crossing the expressway. The zombie is able to stick to the vertical window on the front of the bus due to the acceleration of the terrified bus driver and static friction. The bus is accelerating at 2.5 m/s2

a) Draw a force diagram of the zombie on the front of the bus? b) What is the Minimum coefficient of static friction between the bus and the zombie?

25) The # 20 Home Depot Toyota makes at turn with a radius of 100m on a banked curve of 37o. µ=1.3,

a) Draw a force diagram of the car making the turn at minimum speed? b) What is the Maximum speed he can travel and turn safely? 26) A 50 kg snowboarder falls over and starts to slide on his face down a ski hill that has a slope of 15o. The Coefficient of Friction between the snowboarders face and the snow is 0.50. a) Draw a force diagram of the snowboarder. b) Find the acceleration of the snowboarder.

c) If the snowboarder had an initial speed of 5.0 m/s, in what distance will he stop? 27) A 0.25 kg set of fuzzy dice hang from a string in a moving car. The car makes a turn with a radius of 25m. The string makes an angle of 20o to the vertical. a) Draw a force diagram of the dice.

b) What is the speed of the car?


28: A Block of mass M is pulled at constant speed along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. What is the maximum Tension that the block can be pulled before it is lifted off the ground? (Normal Force = zero) 29) The force exerted on a spring can be described with the equation F(x) = 3x+4x2-x3 a) How much work is done on the when stretched 5 cm from its rest position? b) A 50 gram mass is set against the spring, the spring is released. What is the maximum velocity of the mass? 30) A 2.0kg cart move along the x-axis so its potential energy is given as function of x is given as U(x)= 6.0x2. When the object passes x=0.3 m its velocity is +2.0 m/s. A) What is the Total Mechanical Energy of the cart? B) What is the acceleration of the cart at x=0.5? C) At what points is the kinetic energy of the cart zero? 31) A 45 kg carnie is shot from a spring loaded frictionless cannon tilted at an angle of 30o to the horizontal. The spring has a constant of 2000 N/m and is compressed 3.0 m. A) Draw a force Diagram of the carnie as he moves through the cannon. B) How much work is done by gravity as he moves through the cannon? C) How much work is done by the spring? D) What is the velocity of the carnie as he leaves the cannon at the end of the spring? 32) A 5N Ball is attached to an elastic chord that is 1.5 meters long as shown. The spring constant k of the chord is 25 N/m. The ball is dropped and allowed to stretch the cord? A) Draw a force diagram of the ball when in reaches maximum velocity. B) What is the maximum Velocity of the ball? C) How far will the ball fall before it comes to rest? 33) Use the graph below to answer the following questions. M = 2.0 kg A) What positions (x) is the object in Unstable Equilibrium? B) What positions (x) is the object in Stable equilibrium? C) What direction ( + or - ) is the force at x=3.5m D) What is the velocity at x = 4 m (x=0, v=0)


34) A rider and his bike have total mass of M and roll down a hill (h=5R). He rides around a loopity-loop with a radius R. What is the normal force on the rider at the top of the circle? 35) A 150 g baseball is thrown at a speed of 42 m/s. It is hit straight back in opposite direction at 58 m/s. A) What is the impulse exerted on the ball? B) What is the average force exerted on the ball if it were in contact for 5 ms. 36) A soccer player kicks a ball with a force given by the equation F=12t-6.0t2 a) What is the impulse on a ball after .25 seconds? b) A 0.700 foam ball is kick with this force. What is the resulting velocity? 37) A 750 kg driving north collides with an 850 kg truck moving west. They move off at 12 m/s at 37o North of West. a) What was the velocity of the truck? b) What was the velocity of the car? 38) You are standing on a concrete slab that is at rest on frictionless surface. The mass of the slab is 4 times your mass. You begin to walk forward at a speed of v relative to the ground. What is the velocity of the slab? 39) A 400 g billiard ball moving at 3.0 m/s collides with a ball mass (m= 500g) moving at 2.0 m/s in the opposite direction. It is an elastic collision. What is the velocity of each ball after the collision? 40) A snowboarder (m=50kg) slides down a 10m high frictionless slope. At the bottom the snowboarder collides with 75kg skier at rest. What speed do they move if they stick together? 41m) A block of mass M slides down a frictionless hill from a height H and collides with an identical Block of mass 2M at rest at the bottom of the hill. They stick together and slide across a rough surface with a coefficient of friction (μ) until they stop. How far (d) do they travel before they stop?

AP 15-16 Midterm Review - virt.wcskids.netvirt.wcskids.net/mmstc/staff_websites/mcmillan files/AP Physics/15... · A rock is thrown from the edge of a cliff with a horizontal ...

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