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A block of mass 30 kg is pulled up a slo...

A block of mass 30 kg is pulled up a slope as shown in with constant speed by applying a force of 200 N parallel to the slope from the initial position A to the position B,
(a)Calculate :
(i)the work done by force in moving the block from A to B, and
(ii)The potential energy gained by the block Take, g=10 m `s^(-2)`
(b)Account for the difference in answers to parts (i) and (ii)

Text Solution

Verified by Experts

(a)Given :m=30 kg,F=200 N,AB=3 m and CB=1.5 m.
(i)Work done by the force in moving the block from A to B
=Force `xx` displacemet in the direction of force or `W=FxxAB`
`200 N xx3 m` =600 J
(ii)The potential energy gained by the block U=mgh where h=CB=1.5 m
`therefore U=30xx10xx1.5=450 J`
(b)Out of the work done 600 J ,only 450 J is the useful work raises the potential energy of the block and the remaining work =600 J-450 J=150 J is spent against the force of friction between the block and the slope which gets converted into heat energy
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