Question

a ball falls a height of 10 m on to horizontal floor and repeatedly bounce if the coefficient of restitution is 1÷root2​

Answer 1

Explanation:

Given

• Coefficient of restitution (e) = 1 / √2
• Height (h) = 10m

Total distance travelled by the ball before it ceases to rebound

$s = (1 + \frac{1}{2} ) \: (1 - \frac{1}{2} )$

$s = 10 \frac{( \frac{3}{2}) }{( \frac{1}{2} )} \\ \\ s = 10 \: ( \frac{3}{2} \times \frac{2}{1} ) \\ \\ s = 10 \: ( \frac{6}{2} ) \\ \\ s = 10 \times 3 \\ \\ s = 30m$

:. Total distance travelled by the ball before it ceases to rebound is 30m .