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Answer :
Final answer:
The change in the monkey's potential energy, as it swings from one branch to another 1.37 m higher, is approximately 86.83 joules. This calculation uses the formula for potential energy which is mass times gravity times height.
Explanation:
The change in potential energy can be calculated using the formula Potential Energy (PE) = m*g*h.
Where:
- m is the mass of the object (the monkey), which is 6.46 kg,
- g is the acceleration due to gravity, which is approximately 9.8 m/s^2 on Earth, and
- h is the height of the displacement, which is 1.37 m in this scenario.
Plugging these values into the formula:
PE = 6.46 kg * 9.8 m/s^2 * 1.37 m
The change in the monkey's potential energy as it swings from one branch to another, 1.37 m higher, is approximately 86.83 joules.
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