QuestionMay 25, 2025

How much potential energy due to gravity would a person have if they were standing on top of a building that is 79.5 m high? Assume that they have a mass of 824 kg. Add your answer square

How much potential energy due to gravity would a person have if they were standing on top of a building that is 79.5 m high? Assume that they have a mass of 824 kg. Add your answer square
How much potential energy due to gravity would a person have if they were standing on top of a building that is 79.5 m high?
Assume that they have a mass of 824 kg.
Add your answer
square

Solution
4.7(225 votes)

Answer

641,676.6 \, \text{J} Explanation 1. Identify the formula for gravitational potential energy Gravitational potential energy is given by **PE = mgh**, where m is mass, g is acceleration due to gravity (approximately 9.8 \, \text{m/s}^2), and h is height. 2. Substitute values into the formula Use m = 824 \, \text{kg}, g = 9.8 \, \text{m/s}^2, and h = 79.5 \, \text{m} in the formula: PE = 824 \times 9.8 \times 79.5. 3. Calculate the potential energy Perform the multiplication: PE = 824 \times 9.8 \times 79.5 = 641,676.6 \, \text{J}.

Explanation

1. Identify the formula for gravitational potential energy<br /> Gravitational potential energy is given by **$PE = mgh$**, where $m$ is mass, $g$ is acceleration due to gravity (approximately $9.8 \, \text{m/s}^2$), and $h$ is height.<br />2. Substitute values into the formula<br /> Use $m = 824 \, \text{kg}$, $g = 9.8 \, \text{m/s}^2$, and $h = 79.5 \, \text{m}$ in the formula: $PE = 824 \times 9.8 \times 79.5$.<br />3. Calculate the potential energy<br /> Perform the multiplication: $PE = 824 \times 9.8 \times 79.5 = 641,676.6 \, \text{J}$.
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