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If the force acting on a body is inverse...

If the force acting on a body is inversely proportional to its speed, then its kinetic energy is

A

`t^(2)`

B

`sqrt(t)`

C

`t`

D

`t^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
When the ball falls through a height of 10 m, then its velocity is given by
`v^(2)=2gh=20g=200`
and let v' be its velocity after collision with the ground. For its upward journey, we use
`v^(2)=u^(2)-2gh`
`0=v'^(2)-2gxx8 " " therefore v'^(2)=16g=160`
Percentagle loss in K.E.
`=[((1)/(2)m(v^(2)-v'^(2)))/((1)/(2)mv^(2))]xx100`
`=(200-160)/(200)xx100 = 20%`
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