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A man is riding on a cycle with velocity...

A man is riding on a cycle with velocity `7.2(km)/(hr)` up a hill having a slope 1 in 20. The total mass of the man and cycle is 100kg. The power of the man is

A

200 W

B

175 W

C

125 W

D

98 W

Text Solution

Verified by Experts

The correct Answer is:
D

`v=7.2(km)/(h)=7.2xx(5)/(18)=2(m)/(s)`
slope is given 1 in 20
`sintheta=(1)/(20)`
When man and cycle moves up then component of weight opposes it motion i.e. `F=mgsintheta`
So power of the man `P=Fxxv=mgsinthetaxxv`
`=100xx9.8xx((1)/(20))xx2=98W`
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