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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?
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?
- 2
- 0.5 (correct)
- 1
- 0
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?
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?
- -6 m/s
- +4 m/s (correct)
- +6 m/s
- -4 m/s
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 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?
- 3.2 m/s
- 0.8 m/s
- 2.4 m/s (correct)
- 1.6 m/s
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?
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?
In a perfectly elastic collision, what is conserved?
In a perfectly elastic collision, what is conserved?
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?
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?
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?
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?
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?
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?
Which of the following scenarios describes an inelastic collision?
Which of the following scenarios describes an inelastic collision?
What does a coefficient of restitution of 1 represent?
What does a coefficient of restitution of 1 represent?
What is the term for the change in momentum?
What is the term for the change in momentum?
When dealing with a collision of two objects, which law can be used to determine the outcome?
When dealing with a collision of two objects, which law can be used to determine the outcome?
What happens to the kinetic energy during a collision where e ≠1?
What happens to the kinetic energy during a collision where e ≠1?
How can 3 particle collisions be solved?
How can 3 particle collisions be solved?
What is the range of values for the coefficient of restitution (e)?
What is the range of values for the coefficient of restitution (e)?
What is conserved in a collision?
What is conserved in a collision?
What happens to the energy lost during an inelastic collision?
What happens to the energy lost during an inelastic collision?
What is the term for the energy due to motion?
What is the term for the energy due to motion?
What is the coefficient of restitution for a collision in which no energy is lost?
What is the coefficient of restitution for a collision in which no energy is lost?
What is the change in momentum during a collision?
What is the change in momentum during a collision?
What happens to the kinetic energy during an inelastic collision?
What happens to the kinetic energy during an inelastic collision?
How can a 3-particle collision be solved?
How can a 3-particle collision be solved?
What is the range of values for the coefficient of restitution?
What is the range of values for the coefficient of restitution?
What is conserved in a collision?
What is conserved in a collision?
What happens to the energy lost during an inelastic collision?
What happens to the energy lost during an inelastic collision?
What is the term for the energy due to motion?
What is the term for the energy due to motion?
When dealing with a collision of two objects, which law can be used to determine the outcome?
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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