Exam 9: Linear Momentum and Collisions

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 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 cm, in 0.44 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.

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?

In an inelastic collision involving an isolated system,the final total momentum is

Consider two less-than-desirable options.In the first you are driving 30 mph and crash head-on into an identical car also going 30 mph.In the second option you are driving 30 mph and crash head-on into a stationary brick wall.In neither case does your car bounce back from the thing it hits,and the collision time is the same in both cases.Which of these two situations would result in the greater impact force on your car?

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?

Three objects are moving along a straight line as shown in the figure.Taking the positive direction to be to the right,what is the total momentum of this system?

Two vehicles approach a right angle intersection and then suddenly collide.After the collision,they become entangled.If their mass ratios were 1:4 and their respective speeds as they approached the intersection were both 13 m/s,find the magnitude and direction of the final velocity of the wreck.

A super dart of mass 20 g,traveling at 350 m/s,strikes a steel plate at an angle of 30° with the plane of the plate,as shown in the figure.It bounces off the plate at the same angle but at a speed of 320 m/s.What is the magnitude of the impulse that the plate gives to the bullet?

A 0.24 kg blob of clay is thrown at a wall with an initial horizontal velocity of 16 m/s. If the clay comes to a stop in 91ms. What is the average horizontal force on the clay due to the wall?

A 30-kg child stands at one end of a floating 20-kg canoe that is 5.0-m long and initially at rest in the water.The child then slowly walks to the other end of the canoe.How far does the canoe move in the water,assuming water friction is negligible?

A puck with a mass m₁ = 50 g moving at 1.0 m/s approaches a stationary puck with a mass m₂ = 100 g on a frictionless air table,and they undergo a sudden two-dimensional elastic collision.After the collision,both pucks have identical speeds,but travel in different directions.What is the angle between the original and final paths of puck with mass m₁?

Two objects of different masses have momentum of equal,non-zero magnitude.Which object has more kinetic energy?

A 1200-kg cannon suddenly fires a 100-kg. Cannonball at 35 m/s. What is the recoil speed of the cannon? Assume that frictional forces are negligible and the cannon is fired horizontally.

An egg falls from a bird's nest in a tree and feels no effects due to the air.As it falls,

A 1000-kg whale swims horizontally to the right at a speed of 6.0 m/s.It suddenly collides directly with a stationary seal of mass 200 kg.The seal grabs onto the whale and holds fast.What is the speed of these two sea creatures just after their collision? You can neglect any drag effects of the water during the collision.

A rubber ball bounces off of a wall with an initial speed v and reverses its direction so its speed is v right after the bounce.As a result of this bounce,which of the following quantities of the ball are conserved? (There could be more than one correct choice. )

In a game of pool,the white cue ball hits the #5 ball and stops,while the #5 ball moves away with the same velocity as the cue ball had originally.Both balls have the same mass.This type of collision is

A block of mass m = 3.6 kg,moving on a frictionless surface with a speed Makes a sudden perfectly elastic collision with a stationary block of mass M,as shown in the figure.Just after the collision,the 3.6-kg block recoils with a speed of What is the speed V of the other block?

A 0.140 kg baseball is thrown horizontally with a velocity of 28.9 m/s.It is struck with a constant horizontal force that lasts for 1.85 ms,which results in a velocity of 37.0 m/s in the opposite direction.What was the magnitude of the horizontal force?