Questions and Answers
A ball with a mass of 1 kg is dropped from a height of 10 meters and bounces back to a height of 5 meters. What is the coefficient of restitution for this collision?
Two identical balls collide head-on. One ball is initially at rest, and the other ball has a velocity of 10 m/s. After the collision, the first ball has a velocity of 5 m/s. What is the coefficient of restitution for this collision?
A particle collides with a stationary object, and after the collision, the particle is moving at half its initial speed. What is the coefficient of restitution of this collision?
A ball is dropped from a height of 1 meter and bounces back to a height of 0.5 meters. What type of collision is this?
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Two particles collide head-on. Before the collision, the first particle has a momentum of 10 kgm/s and the second particle has a momentum of -5 kgm/s. After the collision, the first particle has a momentum of 5 kg*m/s. What is the momentum of the second particle after the collision?
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In a perfectly elastic collision, what happens to the kinetic energy of the system?
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In an inelastic collision, what happens to the kinetic energy of the system?
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A ball is thrown vertically upwards with an initial velocity of 10 m/s. It reaches a maximum height of 5 meters before falling back down. What is the coefficient of restitution of the collision between the ball and the ground?
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Two identical particles collide head-on. Before the collision, one particle has a velocity of 10 m/s and the other has a velocity of -5 m/s. After the collision, the first particle has a velocity of -5 m/s. What is the velocity of the second particle after the collision?
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Study Notes
Coefficients of Restitution
- Coefficient of restitution (e) is the ratio of speed before impact to speed after impact
- e = 1: no energy/speed lost, elastic collision
- e = 0: all energy lost, inelastic collision
- In LC questions, e is always between 0 and 1
Collisions and Momentum
- Newton's Experimental Law: formula for collisions of two objects that are free to move
- Momentum: impulse is the change in momentum
- Conservation of momentum: impulse lost by one particle is transferred to the other
- Combining Newton's Experimental Law with conservation of momentum provides a determinate outcome for every collision
Kinetic Energy
- Kinetic energy is energy due to motion
- In collisions where e ≠ 1, energy appears not to be conserved due to conversion to sound or heat
- Questions may ask to express total energy loss in Joules, or as a fraction or percentage of the original amount
3-Particle Collisions
- Solve 3-particle collisions as two successive 2-particle collisions
- Be mindful of directions and signs, as particles may rebound and collide again
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Description
Learn about the coefficient of restitution, a measure of energy loss in collisions, and its relation to elastic and inelastic collisions. Understand Newton's Experimental Law in the context of collision problems.
