Exam 9: Linear Momentum

When a ball undergoes a two-dimensional elastic collision with a smooth wall, the angle that the incident path makes with the perpendicular to the wall is equal to the angle that the outgoing path makes with the perpendicular to the wall. Explain why this is so.

A neutron with a mass of 1.67 × 10^-27 kg traveling east with a kinetic energy of 2.00 × 10^-21 J collides perfectly elastically with a helium nucleus with a mass 6.68 × 10^-27 kg that is initially at rest. After the collision, the neutron has a kinetic energy 1.80 × 10^-21 J. What angle was the neutron deflected during the collision?

A 3.00-kg object traveling 20.0 m/s west collides with a 5.00-kg mass object traveling 12.0 m/s west. The collision is perfectly elastic, what is the velocity of the 3.00-kg object after the collision?

A uniform piece of wire, 20 cm long, is bent in a right angle in the center to give it an L-shape. How far from the bend is the center of mass of the bent wire?

During a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 60.0 ms, what was the magnitude of the average force applied to the ball?

Explain the process through which kinetic energy is conserved in an elastic collision.

Two cars collide head-on on a level friction-free road. The collision was completely inelastic and both cars quickly came to rest during the collision. What is true about the velocity of this system's center of mass?

The area under the curve on a Force versus time (F vs. t) graph represents

A 65-g handball is dropped to the floor from a height of 1 m, and bounces to a height of 0.80 m. What is the magnitude of the impulse received by the ball from the floor?

A 0.250-kg rubber ball is dropped from a height of 2.00 m. It hits the floor and rebounds to a height of 1.80 m. What is the magnitude of impulse the floor applies to the ball?

A particle with a mass of 400 g moving at 2.0 m/s collides elastically with a stationary particle whose mass is 240 g. After the collision, the 400 g mass is moving at 1.5 m/s. Through what angle is its path deflected?

Two objects are moving in the xy-plane. No external forces are acting on the objects. Object A has a mass of 3.2 kg and has a velocity = (2.3 m/s) + (4.2 m/s) and object B has a mass of 2.9 kg and has a velocity = (-1.8 m/s) + (2.7 m/s) . Some time later, object A is seen to have a velocity ' = (1.7 m/s) + (3.5 m/s) . What is the velocity of object B at that instant?

A 1000-kg car is traveling at 20.0 m/s toward the north. During a collision the car receives an impulse of 1.00 × 10⁴ N∙s toward the south. What is the velocity of the car after the impulse is applied to the car?

Two air track carts move along an air track towards each other. Cart A has a mass of 450 g and moves toward the right with a speed of 0.850 m/s and air track cart B has a mass of 300 g and moves toward the left with a speed of 1.12 m/s. What is the total momentum of the system?

A red ball with a velocity of +3.0 m/s collides head-on with a yellow ball of equal mass moving with a velocity of -2.0 m/s. What is the velocity of the red ball after the collision?

A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the table. The initially moving billiard ball deflects 30.0°. What is the speed of the initially stationary billiard ball after the collision?

A mass of 2 kg traveling at 3 m/s undergoes a one-dimensional elastic collision with a group of four 1-kg masses that are at rest in contact with each other and lined up in the same direction as the velocity of the 2-kg mass. As a result of the collision

A rocket of mass M carries a mass m of fuel and starts from rest. Which method of burning the fuel would result in the greatest final speed of the rocket after all the fuel is burned if the velocity of the exhaust gas relative to the rocket is fixed at u_ex?

Is it possible for kinetic energy to increase during an inelastic collision? Explain.

A small car meshes with a large truck in a head-on collision. Which of the following statements concerning the magnitude of the average collision force is correct?