Deck 6: Momentum and Collisions

Question 1

A cannon of mass 1 500 kg fires a 10-kg shell with a velocity of 200 m/s at an angle of 45 $\degree$ above the horizontal.Find the recoil velocity of the cannon across the level ground.

A)1.33 m/s
B)0.94 m/s
C)2.41 m/s
D)1.94 m/s

Answer 1

0.94 m/s

Question 2

A 0.12-kg ball is moving at 6 m/s when it is hit by a bat,causing it to reverse direction and have a speed of 14 m/s.What is the change in the magnitude of the momentum of the ball?

A)0.39 kg*m/s
B)0.42 kg *m/s
C)1.3 kg*m/s
D)2.4 kg*m/s

Answer 2

2.4 kg*m/s

Question 3

Alex throws a 0.15-kg rubber ball down onto the floor.The ball's speed just before impact is 6.5 m/s,and just after is 3.5 m/s.If the ball is in contact with the floor for 0.025 s,what is the magnitude of the average force applied by the floor on the ball?

A)60 N
B)133 N
C)3.0 N
D)3.5 N

Answer 3

60 N

Question 4

The impulse experienced by a body is equivalent to its change in:

A)velocity.
B)kinetic energy.
C)momentum.
D)None of the above choices are valid.

Question 5

The dimensional equivalence of the quantity "momentum" in terms of the fundamental quantities (mass,length,time)is:

A)MLT^-1.
B)ML²T^-2.
C)MLT.
D)MLT^-2.

Question 6

A ball with original momentum +4.0 kg*m/s hits a wall and bounces straight back without losing any kinetic energy.The change in momentum of the ball is:

A)0.
B)-4.0 kg*m/s.
C)8.0 kg*m/s.
D)-8.0 kg*m/s.

Question 7

A 75-kg swimmer dives horizontally off a 500-kg raft.The diver's speed immediately after leaving the raft is 4.0 m/s.A micro-sensor system attached to the edge of the raft measures the time interval during which the diver applies an impulse to the raft just prior to leaving the raft surface.If the time interval is read as 0.20 s,what is the magnitude of the average horizontal force by diver on the raft?

A)900 N
B)450 N
C)525 N
D)1 500 N

Question 8

A crane drops a 0.30 kg steel ball onto a steel plate.The ball's speeds just before impact and after are 4.5 m/s and 4.2 m/s,respectively.If the ball is in contact with the plate for 0.030 s,what is the magnitude of the average force that the ball exerts on the plate during impact?

A)87 N
B)133 N
C)3.0 N
D)3.5 N

Question 9

The units of impulse are equivalent to:

A)those of energy.
B)N*m.
C)kg*m/s.
D)those of force.

Question 10

A valid unit for momentum is which of the following?

A)kg*m/s²
B)kg/m²
C)kg*m/s
D)N*m

Question 11

A machine gun is attached to a railroad flatcar that rolls with negligible friction.If the railroad car has a mass of 6.25 ´ 10⁴ kg,how many bullets of mass 25 g would have to be fired at 250 m/s off the back to give the railroad car a forward velocity of 0.5 m/s?

A)400
B)2 000
C)3 000
D)5 000

Question 12

The dimensional equivalent of the quantity impulse in terms of the fundamental quantities (mass,length,time)is which of the following?

A)MLT^-1
B)ML²T^-2
C)MLT
D)MLT^-2

Question 13

Lonnie pitches a baseball of mass 0.20 kg.The ball arrives at home plate with a speed of 40 m/s and is batted straight back to Lonnie with a return speed of 60 m/s.If the bat is in contact with the ball for 0.050 s,what is the impulse experienced by the ball?

A)360 N*s
B)20 N*s
C)400 NF*s
D)9.0 N*s

Question 14

A car wash nozzle directs a steady stream of water at 1.5 kg/s,with a speed of 30 m/s,against a car window.What force does the water exert on the glass? Assume the water does not splash back.

A)11 N
B)45 N
C)110 N
D)440 N

Question 15

Jerome pitches a baseball of mass 0.20 kg.The ball arrives at home plate with a speed of 40 m/s and is batted straight back to Jerome with a return speed of 60 m/s.What is the magnitude of change in the ball's momentum?

A)4.0 kg*m/s
B)8.0 kg*m/s
C)18 kg*m/s
D)20 kg*m/s

Question 16

A 75-kg swimmer dives horizontally off a 500-kg raft.If the diver's speed immediately after leaving the raft is 4 m/s,what is the corresponding raft speed?

A)0.2 m/s
B)0.5 m/s
C)0.6 m/s
D)4.0 m/s

Question 17

Alex throws a 0.15-kg rubber ball down onto the floor.The ball's speed just before impact is 6.5 m/s,and just after is 3.5 m/s.What is the change in the magnitude of the ball's momentum?

A)0.09 kg*m/s
B)1.5 kg*m/s
C)4.3 kg*m/s
D)126 kg*m/s

Question 18

The law of conservation of momentum is applicable to systems made up of objects described by which of the following?

A)macroscopic
B)microscopic
C)interacting through friction
D)All the above choices are valid.

Question 19

If a glass of water is on a table with a piece of paper under it,it is relatively easy to pull the paper out without disturbing the glass very much if the pull is done very quickly.This is because,with a quick pull:

A)the force on the glass will be less.
B)the momentum of the paper will be greater.
C)the time for the pull will be less.
D)the coefficient of kinetic friction will be less.

Question 20

Ann the Astronaut weighs 60 kg.She is space walking outside the space shuttle and pushes a 350-kg satellite away from the shuttle at 0.90 m/s.What speed does this give Ann as she moves toward the shuttle?

A)4.0 m/s
B)5.3 m/s
C)8.5 m/s
D)9.0 m/s

Question 21

Object 1 has twice the mass of Object 2.Both objects have the same kinetic energy.Which of the following statements is true?

A)Both objects can have the same magnitude of momentum.
B)Object 1 has a momentum of greater magnitude than Object 2.
C)The magnitude of the momentum of Object 2 is four times that of Object 1.
D)All the statements are false.

Question 22

A 20-g bullet moving at 1 000 m/s is fired through a one-kg block of wood emerging at a speed of 100 m/s.What is the kinetic energy of the block that results from the collision if the block had not been moving prior to the collision and was free to move?

A)10 kJ
B)9.8 kJ
C)0.16 kJ
D)0.018 kJ

Question 23

A miniature spring-loaded,radio-controlled gun is mounted on an air puck.The gun's bullet has a mass of 5.00 g,and the gun and puck have a combined mass of 120 g.With the system initially at rest,the radio controlled trigger releases the bullet causing the puck and empty gun to move with a speed of 0.500 m/s.What is the bullet's speed?

A)4.80 m/s
B)11.5 m/s
C)48.0 m/s
D)12.0 m/s

Question 24

The kinetic energy of an object is quadrupled.Its momentum will change by what factor?

A)zero
B)two
C)eight
D)four

Question 25

A high-diver of mass 70 kg jumps off a board 10 m above the water.If,1.0 s after entering the water his downward motion is stopped,what average upward force did the water exert?

A)100 N
B)686 N
C)980 N
D)No answer is correct.

Question 26

An object of mass m moving at speed v₀ strikes an object of mass 2m which had been at rest.The first object bounces backward along its initial path at speed v₀.Is this collision elastic,and if not,what is the change in kinetic energy of the system?

A)The collision is elastic.
B)The kinetic energy decreases by mv².
C)The kinetic energy decreases by mv².
D)The kinetic energy increases by mv².

Question 27

A 12.0-g bullet is fired into a 1 100-g block of wood which is suspended as a ballistic pendulum.The combined mass swings up to a height of 8.50 cm.What was the kinetic energy of the combined mass immediately after the collision?

A)1.44 J
B)1.86 J
C)0.632 J
D)0.926 J

Question 28

A billiard ball is moving in the x-direction at 30.0 cm/s and strikes another billiard ball moving in the y-direction at 40.0 cm/s.As a result of the collision,the first ball moves at 50.0 cm/s,and the second ball stops.In what final direction does the first ball move?

A)in the x-direction
B)at an angle of 53.1 $\degree$ ccw from the x-direction
C)at an angle of 45.0 $\degree$ ccw from the x-direction
D)Such a collision cannot happen.

Question 29

A moderate force will break an egg.However,an egg dropped on the road usually breaks,while one dropped on the grass usually doesn't break.This is because for the egg dropped on the grass:

A)the change in momentum is greater.
B)the change in momentum is less.
C)the time interval for stopping is greater.
D)the time interval for stopping is less.

Question 30

If the momentum of an object is tripled,its kinetic energy will change by what factor?

A)zero
B)one-third
C)three
D)nine

Question 31

A 70-kg man is standing in a 20-kg boat.The man steps to the right thinking he is stepping out onto the dock.However,the following will actually happen (ignore the friction of the water or air on the boat or the man):

A)The man only moves a short distance to the right while the boat moves a larger distance to the left.
B)The man actually stays still while the boat moves toward the left.
C)The boat doesn't move and the man moves to the right.
D)None of the above.

Question 32

A 5.00-g bullet is fired into a 500-g block of wood suspended as a ballistic pendulum.the combined mass swings up to a height of 8.00 cm.What was the magnitude of the momentum of the combined mass immediately after the collision?

A)6.25 x 10^-3 kg·m/s
B)6.25 kg·m/s
C)0.632 kg·m/s
D)0.394 kg·m/s

Question 33

Object 1 has twice the mass of Object 2.Each of the objects has the same magnitude of momentum.Which of the following statements is true?

A)Both objects can have the same kinetic energy.
B)One object has 0.707 times the kinetic energy of the other.
C)One object has twice the kinetic energy of the other.
D)One object has 4 times the kinetic energy of the other.

Question 34

A 20-g bullet moving at 1 000 m/s is fired through a one-kg block of wood emerging at a speed of 100 m/s.What is the change in the kinetic energy of the bullet-block system as a result of the collision assuming the block is free to move?

A)0 J
B)9.7 kJ
C)-9.7 kJ
D)-18 J

Question 35

A uranium nucleus (mass 238 units)at rest decays into a helium nucleus (mass 4.0 units)and a thorium nucleus (mass 234 units).If the speed of the helium nucleus is 6.0 x 10⁵ m/s,what is the speed of the thorium nucleus?

A)1.0 x 10⁴ m/s
B)3.0 x 10⁴ m/s
C)3.6 x 10⁴ m/s
D)4.1 x 10⁴ m/s

Question 36

A 5.00-g bullet is fired into a 900-g block of wood suspended as a ballistic pendulum.The combined mass swings up to a height of 8.00 cm.What was the kinetic energy of the bullet immediately before the collision?

A)129 J
B)23.3 kJ
C)0.709 J
D)0.355 J

Question 37

A 20-g bullet moving at 1 000 m/s is fired through a one-kg block of wood emerging at a speed of 100 m/s.If the block had been originally at rest and is free to move,what is its resulting speed?

A)9 m/s
B)18 m/s
C)90 m/s
D)900 m/s

Question 38

A lump of clay is thrown at a wall.A rubber ball of identical mass is thrown with the same speed toward the same wall.Which statement is true?

A)The clay experiences a greater change in momentum than the ball.
B)The ball experiences a greater change in momentum than the clay.
C)The clay and the ball experience the same change in momentum.
D)It is not possible to know which object has the greater change in momentum.

Question 39

A man standing on frictionless ice throws a 1.00-kg mass at 20.0 m/s at an angle of elevation of 40.0 $\degree$ .What was the magnitude of the man's momentum immediately after throwing the mass?

A)16.8 kg·m/s
B)15.3 kg·m/s
C)12.9 kg·m/s
D)This cannot be answered because the mass of the man needs to be known.

Question 40

Three satellites are launched into space connected together.Once in deep space,an explosive charge separates the three satellites and they move apart.The satellites each have different masses with m₁ < m₂ < m₃.Which of the following statements is always true?

A)The one with mass m₁ receives the greatest impulse.
B)The one with mass m₃ receives the greatest impulse.
C)The all must receive equal impulses.
D)Although one or more of the above statements could be true in special cases,they are not always true.

Question 41

A 1.00-kg duck is flying overhead at 1.50 m/s when a hunter fires straight up.The 0.010 0-kg bullet is moving 100 m/s when it hits the duck and stays lodged in the duck's body.What is the speed of the duck and bullet immediately after the hit?

A)1.49 m/s
B)2.48 m/s
C)1.80 m/s
D)1.78 m/s

Question 42

A 2 500-kg truck moving at 10.00 m/s strikes a car waiting at a traffic light,hooking bumpers.The two continue to move together at 7.00 m/s.What was the mass of the struck car?

A)1 730 kg
B)1 550 kg
C)1 200 kg
D)1 070 kg

Question 43

Kaitlin uses a bat to hit a thrown baseball.She knocks the ball back in the direction from which it came in a partially inelastic collision.The bat,which is heavier than the baseball,continues to move in the same direction after the hit as Kaitlin "follows through." Is the ball moving faster before or after it was hit?

A)The ball was moving faster before it was hit.
B)The ball was moving faster after it was hit.
C)The ball was moving at essentially the same speed before and after the hit.
D)There is insufficient information to answer this problem.

Question 44

A railroad freight car,mass 15 000 kg,is allowed to coast along a level track at a speed of 2.0 m/s.It collides and couples with a 50 000-kg loaded second car,initially at rest and with brakes released.What percentage of the initial kinetic energy of the 15 000-kg car is preserved in the two-coupled cars after collision?

A)14%
B)23%
C)86%
D)100%

Question 45

A tennis ball is held above and in contact with a basketball,and then both are simultaneously dropped.The tennis ball bounces off the basketball at a fairly high speed.This is because:

A)the basketball falls farther than the tennis ball.
B)the tennis ball is slightly shielded from the Earth's gravitational pull.
C)the massive basketball transfers momentum to the lighter tennis ball.
D)the tennis ball has a smaller radius.

Question 46

Two billiard balls have velocities of 2.0 m/s and -1.0 m/s when they meet in an elastic head-on collision.What is the final velocity of the first ball after collision?

A)-2.0 m/s
B)-1.0 m/s
C)-0.5 m/s
D)+1.0 m/s

Question 47

In a partially elastic collision between two objects with unequal mass:

A)the velocity of one will increase by the amount that the velocity of the other decreases.
B)the momentum of one will increase by the amount that the momentum of the other decreases.
C)the energy of one increases by the amount that the energy of the other decreases.
D)the total momentum of the system will decrease.

Question 48

In a two-body collision,if the kinetic energy of the system is conserved,then which of the following best describes the momentum after the collision?

A)must be less
B)must also be conserved
C)may also be conserved
D)is doubled in value

Question 49

In a two-body collision,if the momentum of the system is conserved,then which of the following best describes the kinetic energy after the collision?

A)must be less
B)must also be conserved
C)may also be conserved
D)is doubled in value

Question 50

A 90-kg halfback running north with a speed of 10 m/s is tackled by a 120-kg opponent running south at 4 m/s.The collision is perfectly inelastic.Compute the velocity of the two players just after the tackle.

A)3 m/s south
B)2 m/s south
C)2 m/s north
D)3 m/s north

Question 51

A 7.0-kg bowling ball strikes a 2.0-kg pin.The pin flies forward with a velocity of 6.0 m/s;the ball continues forward at 4.0 m/s.What was the original velocity of the ball?

A)4.0 m/s
B)5.7 m/s
C)6.6 m/s
D)3.3 m/s

Question 52

A miniature,spring-loaded,radio-controlled gun is mounted on an air puck.The gun's bullet has a mass of 5.00 g,and the gun and puck have a combined mass of 120 g.With the system initially at rest,the radio-controlled trigger releases the bullet,causing the puck and empty gun to move with a speed of 0.500 m/s.Of the total kinetic energy of the gun-puck-bullet system,what percentage is in the bullet?

A)4.0%
B)50%
C)96%
D)100%

Question 53

During a snowball fight two balls with masses of 0.4 and 0.6 kg,respectively,are thrown in such a manner that they meet head-on and combine to form a single mass.The magnitude of initial velocity for each is 15 m/s.What is the speed of the 1.0-kg mass immediately after collision?

A)zero
B)3 m/s
C)6 m/s
D)9 m/s

Question 54

A billiard ball collides in an elastic head-on collision with a second stationary identical ball.After the collision which of the following conditions applies to the first ball?

A)maintains the same velocity as before
B)has one half its initial velocity
C)comes to rest
D)moves in the opposite direction

Question 55

A billiard ball collides in an elastic head-on collision with a second identical ball.What is the kinetic energy of the system after the collision compared to that before collision?

A)the same as
B)one fourth
C)twice
D)four times

Question 56

Two objects,one less massive than the other,collide elastically and bounce back after the collision.If the two originally had velocities that were equal in size but opposite in direction,then which one will be moving faster after the collision?

A)The less massive one.
B)The more massive one.
C)The speeds will be the same after the collision.
D)There is no way to be sure without the actual masses.

Question 57

A billiard ball is moving in the x-direction at 30.0 cm/s and strikes another billiard ball moving in the y-direction at 40.0 cm/s.As a result of the collision,the first ball moves at 50.0 cm/s,and the second ball stops.What is the change in kinetic energy of the system as a result of the collision?

A)0
B)some positive value
C)some negative value
D)No answer above is correct.

Question 58

A 20-kg object sitting at rest is struck elastically in a head-on collision with a 10-kg object initially moving at +3.0 m/s.Find the final velocity of the 20-kg object after the collision.

A)-1.0 m/s
B)-2.0 m/s
C)+1.5 m/s
D)+2.0 m/s

Question 59

A 0.10-kg object moving initially with a velocity of +0.20 m/s makes an elastic head-on collision with a 0.15-kg object initially at rest.What percentage of the original kinetic energy is retained by the 0.10-kg object?

A)4%
B)-4%
C)50%
D)96%

Question 60

Two skaters,both of mass 75 kg,are on skates on a frictionless ice pond.One skater throws a 0.3-kg ball at 5 m/s to his friend,who catches it and throws it back at 5 m/s.When the first skater has caught the returned ball,what is the velocity of each of the two skaters?

A)0.02 m/s,moving apart
B)0.04 m/s,moving apart
C)0.02 m/s,moving towards each other
D)0.04 m/s,moving towards each other

Question 61

A 5-kg object is moving to the right at 4 m/s and collides with another object moving to the left at 5 m/s.The objects collide and stick together.After the collision,the combined object:

A)is moving to the right.
B)is moving to the left.
C)is at rest.
D)has less kinetic energy than the system had before the collision.

Question 62

A 5-kg object is moving to the right at 4 m/s and collides with a 4-kg object moving to the left at 5 m/s.The objects collide and stick together.After the collision,the combined object:

A)has the same kinetic energy that the system had before the collision.
B)has more kinetic energy than the system had before the collision.
C)has no kinetic energy.
D)has less momentum than the system had before the collision.

Question 63

A model rocket sits on the launch pad until its fuel is ignited,blasting the rocket upward.During the short time of blast-off,as the ignited fuel goes down,the rocket goes up because:

A)the fuel pushes on the ground.
B)air friction pushes on the escaping fuel.
C)the downward force of gravity is less than the downward momentum of the fuel.
D)of none of the above reasons.

Question 64

A billiard ball (Ball #1)moving at 5.00 m/s strikes a stationary ball (Ball #2)of the same mass.After the collision,Ball #1 moves at a speed of 4.35 m/s.Find the speed of Ball #2 after the collision.

A)1.25 m/s
B)1.44 m/s
C)2.16 m/s
D)2.47 m/s

Question 65

Neglecting gravity,doubling the exhaust velocity from a single stage rocket initially at rest changes the final kinetic energy of the burnout stage by what factor? Assume all other variables,such as the mass of the rocket and the mass of the fuel,do not change.

A)It is the same.
B)It doubles.
C)It quadruples.
D)It increases by a factor of 1.693.

Question 66

At liftoff,the engines of the Saturn V rocket consumed 13 000 kg/s of fuel and exhausted the combustion products at 2 900 m/s.What was the total upward force (thrust)provided by the engines?

A)3.77 x 10⁷ N
B)7.54 x 10⁷ N
C)1.47 x 10⁸ N
D)2.95 x 10⁸ N

Question 67

If a two-body collision is not head-on,then we may always assume that:

A)momentum is conserved.
B)kinetic energy is conserved.
C)neither momentum nor kinetic energy are conserved.
D)both momentum and kinetic energy are conserved.

Question 68

A helicopter stays aloft by pushing large quantities of air downward every second.What mass of air must be pushed downward at 40.0 m/s every second to keep a 1 000-kg helicopter aloft?

A)120 kg
B)245 kg
C)360 kg
D)490 kg

Question 69

When a collision is perfectly inelastic,then:

A)all the kinetic energy is conserved.
B)all the kinetic energy is gone.
C)the participants stick together.
D)the total momentum is zero.

Question 70

In a system with two moving objects,when a collision occurs between the objects:

A)the total kinetic energy is always conserved.
B)the total momentum is always conserved.
C)the total kinetic energy and total momentum are always conserved.
D)neither the kinetic energy nor the momentum is conserved.

Question 71

Mitch throws a 100-g lump of clay at a 500-g target,which is at rest on a horizontal surface.After impact,the target,including the attached clay,slides 2.1 m before stopping.If the coefficient of friction is m = 0.50,find the speed of the clay before impact.

A)4.5 m/s
B)12 m/s
C)27 m/s
D)36 m/s

Question 72

Neglecting gravity,doubling the exhaust velocity from a single stage rocket initially at rest changes the final velocity attainable by what factor? Assume all other variables,such as the mass of the rocket and the mass of the fuel,do not change.

A)The final velocity stays the same.
B)The final velocity doubles.
C)The final velocity increases by a factor of 0.693.
D)The final velocity increases by a factor of 0.310.

Question 73

A model car is propelled by a cylinder of carbon dioxide gas.The cylinder emits gas at a rate of 4.5 g/s with an exit speed of 80.0 m/s.The car has a mass of 400 g,including the CO₂ cylinder.Starting from rest,what is the car's initial acceleration?

A)0.90 m/s²
B)4.5 m/s²
C)9.0 m/s²
D)36 m/s²

Question 74

A 1 000-kg experimental rocket sled on level frictionless rails is loaded with 50 kg of propellant.It exhausts the propellant in a 20-s "burn." If the rocket,initially at rest,moves at 150 m/s after the burn,what impulse is experienced by the rocket sled?

A)1.1 x 10⁵ kg*m/s
B)1.6 x 10⁵ kg*m/s
C)1.5 x 10⁵ kg*m/s
D)1.9 x 10⁵ kg*m/s

Question 75

Popeye,of mass 70 kg,has just downed a can of spinach.He accelerates quickly and stops Bluto,of mass 700 kg (Bluto is very dense),who is charging in at 10 m/s.What was Popeye's speed?

A)10 m/s
B)31 m/s
C)50 m/s
D)100 m/s

Question 76

Two identical 7-kg bowling balls roll toward each other.The one on the left is moving at +4 m/s while the one on the right is moving at -4 m/s.What is the velocity of each ball after they collide elastically?

A)Neither is moving.
B)-4 m/s,+4 m/s
C)+4 m/s,-4 m/s
D)-14 m/s,14 m/s

Question 77

A neutron in a nuclear reactor makes an elastic head-on collision with a carbon atom initially at rest.(The mass of the carbon atom is 12 times that of the neutron. )What fraction of the neutron's kinetic energy is transferred to the carbon atom?

A)14.4%
B)28.4%
C)41.4%
D)56.6%

Question 78

A 1 000-kg experimental rocket sled at rest on level frictionless rails is loaded with 50 kg of propellant.It exhausts the propellant in a 20-s "burn." The rocket moves at 150 m/s after the burn.What average force is experienced by the rocket during the burn?

A)0.95 x 10⁴ N
B)0.75 x 10⁴ N
C)0.60 x 10⁴ N
D)0.35 x 10⁴ N

Question 79

A rocket of total mass M and with burnout mass 0.20 M attains a speed of 3 200 m/s after starting from rest in deep space.What is the exhaust velocity of the rocket?

A)1 000 m/s
B)2 000 m/s
C)3 000 m/s
D)4 000 m/s

Question 80

A baseball infielder,mass 75.0 kg,jumps up with velocity 3.00 m/s and catches a 0.150-kg baseball moving horizontally at 50.0 m/s.Of the following,which is closest to the final momentum of the system,infielder and baseball?

A)225 kg*m/s
B)228 kg*m/s
C)230 kg*m/s
D)233 kg*m/s