Question

A man cycles up a hill rising $1$ metre vertically for every $50$ metres along the slope. Find the power of the man, if he cycles up at the rate of $3.6$$km/hr$ . The weight of the cycle and man is equal to $120$$kg$ . Neglect force of friction.

• A. $32.25$ $watt$
• B. $24$ $watt$
• C. $25.32$ $watt$
• D. $52.32$ $watt$

Answer 1

The correct option is B $24$ $watt$

$\begin{array}{c}F=mg\sin \theta \\ =120\times 10\times \frac{1}{10}\\ P=f.v\\ =120\times 10\times \frac{1}{50}\times 3.6\times \frac{5}{16}\\ =120\times 10\times \frac{1}{50}\times \frac{36}{10}\times \frac{5}{16}\\ =24watt\\ Hence,\\ optionBiscorrectanswer.\end{array}$