A 1.0 kg ball drops vertically into a floor from a height of 25 cm . It rebounds to a height of 4 cm . The coefficient of restitution for the collision is

Question

A 1.0 kg ball drops vertically into a floor from a height of 25 cm . It rebounds to a height of 4 cm . The coefficient of restitution for the collision is (A) 0.16 (B) 0.32 (C) 0.40 (D) 0.56

Tardigrade Admin · Accepted Answer

Initial velocity before colliding floor u=√2 g h u=√5 final velocity after colliding floor v=√2 g h â² v=√0.8 We know that coefficient of restitution e=(v/u) e=(√0 . 8/√5)=0.4

Q. A $1.0 k g$ ball drops vertically into a floor from a height of $25 c m$ . It rebounds to a height of $4 c m$ . The coefficient of restitution for the collision is

$0.16$

$0.32$

$0.40$

$0.56$

Initial velocity before colliding floor $u = 2 g h$
$u = 5$
final velocity after colliding floor $v = 2 g h'$
$v = 0.8$
We know that coefficient of restitution $e = \frac{v}{u}$
$e = \frac{0.8}{5} = 0.4$

Q. A 1.0kg ball drops vertically into a floor from a height of 25cm . It rebounds to a height of 4cm . The coefficient of restitution for the collision is

0.16

0.32

0.40

0.56