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Graph shows the acceleration of a 3kg pa...

Graph shows the acceleration of a `3kg` particles as an applied force moes it from rest along `x` axis. The total work done by the force on the particle by the time the particle reaches `x=6m` , is equal to

A

`20J`

B

`30J`

C

`40 J`

D

`60 J`

Text Solution

Verified by Experts

The correct Answer is:
D
Acceleration as shown in the graph can be converted into force by multiplying with `m=3kg`. Therefore area under the curve `(F-x ` curve`)` is
`[(1)/(2)xx2xx12]+[4xx12]=60J`
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