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A block of mass m is pulled slowly by a ...

A block of mass m is pulled slowly by a minimum constant force on a rough (`mu`) horizontal surface through a distance x. Find work done by force F.

A

`(mgx)/(sqrt(1+mu^(2)))`

B

`(mumgx)/(1+mu^(1))`

C

`(mu^(2)mgx)/(sqrt(1+mu^(2)))`

D

`(mgx)/((1+mu^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B

Work`=mgsinthetacosthetaxx x`
`=xmg((mu)/(sqrt(1+mu^(2))))(1)/(sqrt(1+mu^(2)))=(mumgx)/(1+mu^(2))`
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