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Exam 6: Impulse and Linear Momentum

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Question 21

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A 60-kg swimmer suddenly dives horizontally from a 150-kg raft with a speed of 1.5 m/s.The raft is initially at rest.What is the speed of the raft immediately after the diver jumps,assuming that the water has negligible effect on the raft during the jump?

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Question 22

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A batter hits a 0.140-kg baseball that was approaching him at 30 m/s and,as a result,the ball leaves the bat at 40 m/s in the reverse of its original direction.The ball remains in contact with the bat for 2.0 ms.What is the magnitude of the average force exerted by the bat on the ball?

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Question 23

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A 100-g ball falls from a window that is 12 m above ground level and experiences no significant air resistance as it falls.What is its momentum when it strikes the ground?

You are standing on a skateboard,initially at rest.A friend throws a very heavy ball towards you.You have two choices about what to do with the ball: either catch the ball or deflect it back toward your friend with the same speed as it was originally thrown.Which choice should you make in order to maximize your speed on the skateboard?

A 1200-kg car moving at $15.6 \mathrm {~m} / \mathrm { s }$ suddenly collides with a stationary car of mass $1500 \mathrm {~kg} \text {. }$ If the two vehicles lock together,what is their combined velocity immediately after the collision?

A 0.140-kg baseball is dropped and reaches a speed of 1.20 m/s just before it hits the ground and bounces.It rebounds with an upward velocity of 1.00 m/s.What is the change of the ball's momentum during the bounce?

A 14-cm diameter champagne bottle rests on its side on top of a frictionless horizontal table.Suddenly,the cork pops and the bottle slides backward,covering a distance of $22.0 \mathrm {~cm}$ in $0.44 \mathrm {~s}$ If the mass of the bottle is 500 times the mass of the cork,find the distance from the original position that the cork will land on the table.Neglect air resistance and assume that the cork is very small compared to the bottle.

In a collision between two objects of unequal mass,which object receives a greater magnitude impulse?

Two friends are standing on opposite ends of a canoe that is initially at rest with respect to a frictionless lake.The person in the front throws a very massive ball toward the back,and the person in the back catches it.After the ball is caught,the canoe is

In a police ballistics test,2.00-g bullet traveling at 700 m/s suddenly hits and becomes embedded in a stationary 5.00-kg wood block.What is the speed of the block immediately after the bullet has stopped moving relative to the block?

Calculate the impulse due to a force of $4.5 \mathrm {~N}$ that lasts for $1.4 \mathrm {~s}$

Astronaut Jennifer's lifeline to her spaceship comes loose and she finds herself stranded,"floating" 100 m from the mothership.She suddenly throws her 2.00-kg wrench at 20 m/s in a direction away from the ship.If she and her spacesuit have a combined mass of 200 kg,how long does it take her to coast back to her spaceship?

A 0.330-kg volleyball is thrown vertically downward with a speed of 0.150 m/s in a place where g = 9.81 m/s².It takes it 0.0655 s to reach the ground.What is the magnitude of its momentum just before it hits the ground?

What is the magnitude of the momentum of a 0.140 kg baseball traveling at 45.0 m/s?

A block of mass m = 5.6 kg,moving on a frictionless surface with a velocity of $v _ { \mathrm { i } } = 6.5 \mathrm {~m} / \mathrm { s }$ to the right,collides with a block of mass M at rest,as shown in the figure.After the collision,the 5.6-kg block recoils with a velocity of $v _ { \mathrm { f } } = 0.70 \mathrm {~m} / \mathrm { s }$ to the left.If the blocks are in contact for 0.20 s,what is the magnitude of the average force exerted on the 5.6-kg block,while the two blocks are in contact?

A forklift pushes a 100-kg crate,starting from rest,exerting a horizontal force of magnitude F.The graph in the figure shows the x component of this force as a function of time.What is the instantaneous velocity of the crate at time t = 10 s?

A 0.140-kg baseball is thrown with a velocity of $27.1 \mathrm {~m} / \mathrm { s }$ It is struck by the bat exerting an average force of 5000 N,which results in a velocity of 37.0 m/s in the opposite direction from the original velocity.How long were the bat and ball in contact?

Two astronauts,of masses 60 kg and 80 kg,are initially right next to each other and at rest in outer space.They suddenly push each other apart.How far has the heavier astronaut moved when the lighter astronaut has moved 12 m?

A rubber ball and a lump of clay have equal mass.They are thrown with equal speed against a wall.The ball bounces back with nearly the same speed with which it hit.The clay sticks to the wall.Which one of these objects has the greater momentum change?

A golf club exerts an average horizontal force of 1000 N on a 0.045-kg golf ball that is initially at rest on the tee.The club is in contact with the ball for 1.8 ms.What is the speed of the golf ball just as it leaves the tee?