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A body is being raised to a height h fro...

A body is being raised to a height h from the surface of earth. What is the sign of work done by
(a) applied force (b) gravitational force ?

A

Positive, Negative

B

Negative, Negative

C

Positive, Positive

D

Negative, Positive

Text Solution

Verified by Experts

The correct Answer is:
A
`F=-5x -16x^(3) N`
`therefore W=underset(xx 1)overset(xx2)int Fdx=underset(0.1) overset(0.2)int (-5x -16x^(3))dx`
`=[-(5x^(2))/(2)-4x^(4)]_(0.1)^(0.2)`
`=-5/2(0.2)^(2)-4(0.2)^(4)+5/2(0.1)^(2)+4(0.1)^(4)`
`=-5/2 xx 4/100-4 xx 16 xx 10^(-4) +5/2((1)/(100))+4(10^(-4))`
=-0.1 -0.0064+0.025+0.0004
`=0.081 =8.1 xx 10^(-2)J`
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