Question

A steel ball falls from a height ‘h’ on a floor for which the coefficient of restitution is e. The height attained by the ball after the first rebounds is

• A. $he$
• B. $h{e}^2$
• C. $h/e$
• D. $h/e^2$

Answer 1

The correct option is B $h{e}^2$

The velocity attained after a fall through a height h is given by $v^2=2gh$
Thus $h\propto v^2$ The velocity after first rebound is $ev$.

Therefore, the height attained after first rebound = $h{e}^2$.