Coefficients of Restitution in Physics
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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?

  • 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?

  • 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?

  • 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?

    <p>Inelastic</p> Signup and view all the answers

    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?

    <p>10 kg*m/s</p> Signup and view all the answers

    In a perfectly elastic collision, what happens to the kinetic energy of the system?

    <p>It is conserved</p> Signup and view all the answers

    In an inelastic collision, what happens to the kinetic energy of the system?

    <p>It is decreased</p> Signup and view all the answers

    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?

    <p>0.707</p> Signup and view all the answers

    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?

    <p>10 m/s</p> Signup and view all the answers

    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.

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