First slide
Power
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 of the man and cycle is 100 kg. The power of the man is (in W)

Moderate
Solution

v=7.2kmh=7.2×518=2m/s

Slope is given 1 in 20 

sinθ=120

When man and cycle moves up then component of weight opposes it motion  i.e.  F=mgsinθ
So power of the man P=F×v=mgsinθ×v
=100×9.8×120×2=98W

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