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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?
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?
- 0.5
- 1
- 0.707 (correct)
- 0
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?
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?
- 1
- 2
- 0
- 0.5 (correct)
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 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?
- 0.5 (correct)
- 0
- 2
- 1
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?
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?
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?
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?
In a perfectly elastic collision, what happens to the kinetic energy of the system?
In a perfectly elastic collision, what happens to the kinetic energy of the system?
In an inelastic collision, what happens to the kinetic energy of the system?
In an inelastic collision, what happens to the kinetic energy of the system?
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?
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?
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?
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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