18) Gravitational potential energy (PE) of a body can be found by: (Work, Power & Energy, absolute potential energy)
Correct answer: B. mgh
- A. Gm/r
- B. mgh
- C. -Gm/r
- D. both "b" and "c"
Explanation
Correct Answer: (b) mghExplanation: Gravitational PE depends on the mass of the object (m), the acceleration due to gravity (g), and the height of the object above a reference point (h). The formula mgh accurately calculates the gravitational PE of a body in a uniform gravitational field. The gravitational potential energy (PE) of an object near the surface of the Earth in a uniform gravitational field can be accurately calculated using the formula:PE=mghWhere:PE is the gravitational potential energy,m is the mass of the object,g is the acceleration due to gravity, andℎh is the height of the object above a reference point (typically the Earth's surface).Incorrect Options:(a) Gm/r: This formula represents the gravitational potential at a point in space due to a point mass. It doesn't consider the height of the object, which is crucial for calculating the potential energy of a specific object.(c) -Gm/r: This formula is the negative of the gravitational potential, not the PE. While negative PE can be used to express certain situations, mgh is the standard formula for calculating the gravitational PE of an object in a uniform gravitational field.(d) Both "b" and "c": While both mgh and -Gm/r have their uses in physics, they represent different concepts. Only mgh is the correct formula for calculating the gravitational PE of an object in a uniform gravitational field.
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Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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