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Calculate work done to move a boy of mas...

Calculate work done to move a boy of mass 20 kg along an inclined plane `(theta = 45^(@))` with constent velocity through a distance of 10 m.

Text Solution

Verified by Experts

Here the motion is not accelerated the resultant force parallel to the plane must be zero.

So,
F = Mg sin `45^(@) = 0`.
Force, F = Mg sin `45^(@)`,
distance d = 10 m
the workdone.
W = Fd cos `theta`
`=(Mgsin 45^(@))d cos 0^(@)" " [because theta = 0^(@)" So ", cos 0^(@)=1]`
`=20xx10xxsin 45^(@)xx10xx cos 0^(@)`
`=20xx10xx(1)/(sqrt(2))xx10xx1=1414J`
Workdone, W = 1414 J
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