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A 31 kg boy climbs a 12 m rope in 40 s. What is the average power expended by the boy during this climb?

A. 9.8 W
B. 186 W
C. To be determined (not enough information provided)
D. 31 W

Answer :

Final answer:

The average power expended by the boy can be found by calculating work done as mass multiplied by gravity and height and then dividing by time. However, based on the answer choices provided, none matches the actual calculated power (91.08 W), so the answer is 'To be determined'.

Explanation:

The question asks for the average power expended by a boy who climbs a 12 m rope in 40 s with a mass of 31 kg. To calculate power, we need to use the formula Power = Work / Time, where work is given by the gravitational potential energy (GPE) formula, GPE = Mass x Gravity x Height. The gravitational constant (gravity) is approximately 9.8 m/s2 on Earth. Thus, the work done can be calculated as 31 kg x 9.8 m/s2 x 12 m. Then the power is this work divided by the time, which is 40 s.

Calculating the work gives us 31 kg x 9.8 m/s2 x 12 m = 3643.2 J (Joules), and for power, we have 3643.2 J / 40 s = 91.08 W. Since none of the answer choices exactly match, we conclude that the correct answer should be To be determined (not enough information provided) as the actual power value calculated (91.08 W) is not in the options given.

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Rewritten by : Barada