First slide

Coefficient of restitution

Question

A glass marble dropped from a certain height above the horizontal surface reaches the surface in time t and then continues to bounce up and down. The time in which the marble finally comes to rest is

Moderate

A

$t (\frac{1 - e}{1 + e})$
B

$t (\frac{1 + e}{1 - e})$
C

e² t
D

e⁰ t

Solution

Total time= t +2et +2e² t +2e³ t+…..
$= t + \frac{2 et}{1 - e} = t [1 + \frac{2 e}{1 - e}] = t (\frac{1 + e}{1 - e})$

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