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A block of mass 2 kg si kept at rest at ...

A block of mass `2 kg` si kept at rest at `x = 0`, on a rough horizontal surface with coefficient of a rough horizontal surface with coefficient of friction `0.2`. A position dependent horizontal force given by `F = x^(2)+2x+5` (where x is in meter and `F` is in Newton), starts acting on the block at `x = 0`. The kenetic energy of block at `x = 3` is :

A

`21 J`

B

`33J`

C

`45 J`

D

`12J`

Text Solution

Verified by Experts

The correct Answer is:
A
A block ………..
`W_(F)+W_(t)=Delta k`
`int_(0)^(3)(x^(2)2x+5)dx+(-mu mgxx3) = K - 0`
`k = 33 - 12 = 21 J`
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