A man is riding on a cycle with velocity 7.2 km/h 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

Question

A man is riding on a cycle with velocity 7.2 km/h 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) 98 W (B) 125 W (C) 175 W (D) 200 W

Tardigrade Admin · Accepted Answer

Given, v=7.2 kmh-1 =7.2× (5/18)=2 m text/s Slope is given 1 in 20 i.e, sin θ =(1/20) For the upward motion to the cyclist. F=mg sin θ ∴ Power of the man, P=F× v=mg sin θ × v =100× 9.8× (1/20)× 2=98 W

Q. A man is riding on a cycle with velocity 7.2 km/h 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

98 W

125 W

175 W

200 W

Given, $v = 7.2 km h^{- 1}$ $= 7.2 \times \frac{5}{18} = 2 m / s$ Slope is given 1 in 20
i.e, $sin θ = \frac{1}{20}$ For the upward motion to the cyclist. $F = m g sin θ$ $∴$ Power of the man, $P = F \times v = m g sin θ \times v$ $= 100 \times 9.8 \times \frac{1}{20} \times 2 = 98 W$

Q. A man is riding on a cycle with velocity 7.2 km/h 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

98 W

125 W

175 W

200 W

Given, v=7.2kmh−1 =7.2×185​=2m/s Slope is given 1 in 20i.e, sinθ=201​ For the upward motion to the cyclist. F=mgsinθ ∴ Power of the man, P=F×v=mgsinθ×v =100×9.8×201​×2=98W

Given, $v = 7.2 km h^{- 1}$ $= 7.2 \times \frac{5}{18} = 2 m / s$ Slope is given 1 in 20
i.e, $sin θ = \frac{1}{20}$ For the upward motion to the cyclist. $F = m g sin θ$ $∴$ Power of the man, $P = F \times v = m g sin θ \times v$ $= 100 \times 9.8 \times \frac{1}{20} \times 2 = 98 W$