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A body of mass 0.5 kg travels in a strai...

A body of mass 0.5 kg travels in a straight line with velocity `v=5x^(3//2)`. The work done by the net force during its displacement from `x=0` to `x=2` m is

A

25 J

B

50 J

C

75 J

D

100 J

Text Solution

Verified by Experts

The correct Answer is:
B
At x=0 ,`v_(i)=5(0)^(3//2)=5sqrt(8)m//s`
`W=DeltaK=(1)/(2)m,v_(f)=5(2)^(3//2)=5sqrt(8)m//s`
`W=DeltaK=(1)/(2)m(V_(f)^(2)-v_(i)^(2))=(1)/(2)xx0.5[(5sqrt(8))^(2)-0]`
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