Work Energy And Power Question 178

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

Options:

A) 200 W

B) 175 W

C) 125 W

D) 98 W

Show Answer

Answer:

Correct Answer: D

Solution:

v=7.2kmh=7.2×518=2 m/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=98 Watt



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