Question

A body is dropped from rest from height of h = 5.0 m
After rebounding twice from a horizontal floor, to what
height will it rise if coefficient of restitution is 0.8?​

Answer 1

The body will rise to height 2.048 m after rebounding twice.

Explanation:

Given:

Body is dropped from height of 5 m

Coefficient of restitution is 0.8

To find out:

The height to which the body will rise after rebounding twice

Solution:

$h=5$ m

$e=0.8$

When the body is dropped then after first rebounding it will reach height

$h_1=e^2h$

And after second rebounding it will reach the height

$h_2=e^2h_1$

$\implies h_2=e^2\times e^2h$

$\implies h_2=e^4h$

$\implies h_2=0.8^4\times 5$

$\implies h_2=2.048$ m

Hope this answer is helpful.

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