QuestionDecember 18, 2025

17. How much power is exerted when you lift a 60-kg rock to a height of 25 m in 30 seconds?

17. How much power is exerted when you lift a 60-kg rock to a height of 25 m in 30 seconds?
17. How much power is exerted when you lift a 60-kg rock to a height of 25 m in 30 seconds?

Solution
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Answer

490\,\text{W} Explanation 1. Calculate work done Work is W = mgh, where m = 60\,\text{kg}, g = 9.8\,\text{m/s}^2, h = 25\,\text{m}. W = 60 \times 9.8 \times 25 = 14,700\,\text{J} 2. Calculate power Power is P = \frac{W}{t}, where t = 30\,\text{s}. P = \frac{14,700}{30} = 490\,\text{W}

Explanation

1. Calculate work done<br /> Work is $W = mgh$, where $m = 60\,\text{kg}$, $g = 9.8\,\text{m/s}^2$, $h = 25\,\text{m}$.<br /> $W = 60 \times 9.8 \times 25 = 14,700\,\text{J}$<br /><br />2. Calculate power<br /> Power is $P = \frac{W}{t}$, where $t = 30\,\text{s}$.<br /> $P = \frac{14,700}{30} = 490\,\text{W}$
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