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The K.E. acquired by a mass m in travell...

The `K.E.` acquired by a mass `m` in travelling a certain distance `d`, starting from rest, under the action of a constant force is directly propotional to

A

`sqrt(m)`

B

`1/(sqrt(m))`

C

`m`

D

independent of m

Text Solution

Verified by Experts

The correct Answer is:
D
When the child swings on the swing, `h_(1)` and `h_(2)` are the minimum and maximum heights of the swing from the earth's surface. When it is at the highest point, its velocity becomes zero temporarily, then it reverses and at the lowest point the velocity is maximum K.E. By the principle of conservation of energy,
`(1)/(2)mv_("max")^(2)=mg(h_(2)-h_(1))`
`therefore v_("max")=sqrt(2g(h_(2)-h_(1)))`
`=sqrt(2xx10xx(2-0.75))=sqrt(20xx1.25)`
`therefore v_("max")=sqrt(25)=5 m//s`
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