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A particle of mass 0.1 kg is subjected t...

A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in figure.

If it starts its journey from rest at x = 0, its velocity at `x=12` m is

A

zero

B

`20 sqrt2`m `s^(-1)`

C

`20sqrt3` m `s^(-1)`

D

`40 m s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Area under force versus displacement curve gives work.
`therefore` Work done, `W= (1)/(2) (12+4) (10)=80` J
Applying work energy theorem, we get,
`W_("all forces") = Delta K`
`rArr 80=(1)/(2) mv^(2) -0 rArr 80= (1)/(2) (0.1) v^(2) rArr v^(2) = 1600`
or `v=40` m/s.
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