Questions and Answers
A ball is dropped from a height of 1 meter and bounces back to a height of 0.5 meters. What is the coefficient of restitution (e) for this collision?
Two identical balls, A and B, collide head-on. Ball A has a velocity of +5 m/s and ball B has a velocity of -3 m/s. After the collision, ball A has a velocity of -2 m/s. What is the velocity of ball B after the collision?
A 2 kg object moving at 4 m/s collides with a stationary 1 kg object. The coefficient of restitution for the collision is 0.8. What is the velocity of the 2 kg object after the collision?
A ball is thrown vertically upward with an initial velocity of 10 m/s. It reaches a maximum height of 5 meters. What is the coefficient of restitution (e) for the collision with the ground?
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In a perfectly elastic collision, what is conserved?
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A 10 kg object moving at 5 m/s collides with a stationary 5 kg object. The coefficient of restitution for the collision is 0.6. What is the total kinetic energy lost in the collision?
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A ball is dropped from a height of 10 meters. It bounces back to a height of 6 meters. What is the percentage of kinetic energy lost in the collision with the ground?
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A 3 kg object moving at 2 m/s collides with a 1 kg object moving at -1 m/s. After the collision, the 3 kg object has a velocity of 0.5 m/s. What is the velocity of the 1 kg object after the collision?
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Which of the following scenarios describes an inelastic collision?
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What does a coefficient of restitution of 1 represent?
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What is the term for the change in momentum?
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When dealing with a collision of two objects, which law can be used to determine the outcome?
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What happens to the kinetic energy during a collision where e ≠ 1?
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How can 3 particle collisions be solved?
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What is the range of values for the coefficient of restitution (e)?
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What is conserved in a collision?
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What happens to the energy lost during an inelastic collision?
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What is the term for the energy due to motion?
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What is the coefficient of restitution for a collision in which no energy is lost?
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What is the change in momentum during a collision?
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What happens to the kinetic energy during an inelastic collision?
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How can a 3-particle collision be solved?
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What is the range of values for the coefficient of restitution?
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What is conserved in a collision?
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What happens to the energy lost during an inelastic collision?
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What is the term for the energy due to motion?
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When dealing with a collision of two objects, which law can be used to determine the outcome?
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Study Notes
Coefficients of Restitution
- Coefficient of restitution (e) is the ratio of speed before impact to speed after impact: v = -e*u
- If e = 1, no energy/speed is lost, and the collision is elastic
- If e = 0, the particle loses all its energy, and the collision is inelastic
- In LC questions, e is always between 0 and 1
Newton's Experimental Law
- Newton's experimental law is a modified formula for collisions between two free-moving objects
- Formula combines momentum conservation with the coefficient of restitution
Momentum
- Impulse is the change in momentum
- Conservation of momentum means that the impulse lost by one particle is transferred to the other
- Combining Newton's experimental law with momentum conservation allows for determinate outcomes in collisions
Kinetic Energy
- Kinetic energy is energy due to motion
- In collisions where e ≠ 1, energy appears not to be conserved due to energy loss
- Energy is converted to sound or heat during impact
- Questions may ask for total energy loss in Joules, as a fraction, or as a percentage of the original amount
3-Particle Collisions
- To solve 3-particle collisions, treat them as two successive 2-particle collisions
- Be mindful of directions and signs to account for potential rebounds and subsequent collisions
Coefficients of Restitution
- Coefficient of restitution (e) is the ratio of speed before impact to speed after impact: v = -e*u
- If e = 1, no energy/speed is lost, and the collision is elastic
- If e = 0, the particle loses all its energy, and the collision is inelastic
- In LC questions, e is always between 0 and 1
Newton's Experimental Law
- Newton's experimental law is a modified formula for collisions between two free-moving objects
- Formula combines momentum conservation with the coefficient of restitution
Momentum
- Impulse is the change in momentum
- Conservation of momentum means that the impulse lost by one particle is transferred to the other
- Combining Newton's experimental law with momentum conservation allows for determinate outcomes in collisions
Kinetic Energy
- Kinetic energy is energy due to motion
- In collisions where e ≠ 1, energy appears not to be conserved due to energy loss
- Energy is converted to sound or heat during impact
- Questions may ask for total energy loss in Joules, as a fraction, or as a percentage of the original amount
3-Particle Collisions
- To solve 3-particle collisions, treat them as two successive 2-particle collisions
- Be mindful of directions and signs to account for potential rebounds and subsequent collisions
Coefficients of Restitution
- Coefficient of restitution (e) is the ratio of speed before impact to speed after impact: v = -e*u
- If e = 1, no energy/speed is lost, and the collision is elastic
- If e = 0, the particle loses all its energy, and the collision is inelastic
- In LC questions, e is always between 0 and 1
Newton's Experimental Law
- Newton's experimental law is a modified formula for collisions between two free-moving objects
- Formula combines momentum conservation with the coefficient of restitution
Momentum
- Impulse is the change in momentum
- Conservation of momentum means that the impulse lost by one particle is transferred to the other
- Combining Newton's experimental law with momentum conservation allows for determinate outcomes in collisions
Kinetic Energy
- Kinetic energy is energy due to motion
- In collisions where e ≠ 1, energy appears not to be conserved due to energy loss
- Energy is converted to sound or heat during impact
- Questions may ask for total energy loss in Joules, as a fraction, or as a percentage of the original amount
3-Particle Collisions
- To solve 3-particle collisions, treat them as two successive 2-particle collisions
- Be mindful of directions and signs to account for potential rebounds and subsequent collisions
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Description
Understand the coefficient of restitution, a ratio of speed before and after impact, and its relation to elastic and inelastic collisions, as well as Newton's Experimental law.
