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The gravitational potential energy diffe...

The gravitational potential energy difference per unit mass between the surface of a planet and a point 100 m above it is 1000, J/kg. How much work is required to be done in moving , a 5 kg object 100 m on a slope at `30^(@)` to the horizontal on this planet ?

A

1250 J

B

2500 J

C

4350 J

D

5000 J

Text Solution

Verified by Experts

The correct Answer is:
B
In the given situation difference in gravitational potential energy per unit mass can be given as,
`(U_(2)-U_(1))/(m)=(DeltaU)/(m)=(mg(h_(2)-h_(1)))/(m)=g.h`
`(DeltaU)/(m)=g.h rArr1000j//kg`
Work done (W) = mgh `sin 30^(@)`
`W = 5 xx 10 xx 50`
W = 2500 j
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