Exam 6: Momentum and Collisions

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?

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

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:

Alex throws a 0.10-kg rubber ball down onto the floor.The ball's speed just before impact is 4.5 m/s,and just after is 3.5 m/s.If the ball is in contact with the floor for 0.02 s,what is the magnitude of the average force applied by the floor on the ball?

A 1,450-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 160 m/s after the burn,what impulse is experienced by the rocket sled?

A 1,500-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 155 m/s after the burn.What average force is experienced by the rocket during the burn?

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.

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

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

A 24-g bullet moving at 900 m/s is fired through a one-kg block of wood emerging at a speed of 200 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?

Two masses m₁ and m₂,with m₁ = 3 m₂,undergo a head-on elastic collision.If the particles were approaching with speed v before the collision,with what speed are they moving apart after collision?

A 1.0-kg duck is flying overhead at 1.7 m/s when a hunter fires straight up.The 0.0110-kg bullet is moving 109 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 man standing on frictionless ice throws a 1.00-kg mass at 29.0 m/s at an angle of elevation of 50.0°.What was the magnitude of the man's momentum immediately after throwing the mass?

A 74-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 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:

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.

Two billiard balls have velocities of 4.0 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?

Jerome pitches a baseball of mass 0.15 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?

Two masses m₁ and m₂,with m₁ < m₂,have momenta with equal magnitudes.How do their kinetic energies compare?

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