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A 0.50-kg apple is 2.0m above the reference level. What is the GPE of the apple-Earth system?
The gravitational potential energy (GPE) of an object can be calculated using the formula GPE = mgh, where (m) is the mass (in kg), (g) is the acceleration due to gravity (approximately (9.81 , \text{m/s}^2)), and (h) is the height above the reference level (in meters). For the 0.50-kg apple at a height of 2.0 m, the GPE is:
[ GPE = 0.50 , \text{kg} \times 9.81 , \text{m/s}^2 \times 2.0 , \text{m} = 9.81 , \text{J} ]
Thus, the gravitational potential energy of the apple-Earth system is approximately 9.81 joules.
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