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Question: 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 ...

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 100 kg. The power of the man is

A

200 W

B

175 W

C

125 W

D

98 W

Answer

98 W

Explanation

Solution

Slope is given 1 in 20

sinθ=120\sin \theta = \frac { 1 } { 20 }

When man and cycle moves up then component of weight opposes it motion i.e.

So power of the man

P=F×vP = F \times v =mgsinθ×v= m g \sin \theta \times v =