Question

gravitational potential energy is defined as energy due to the ______ objects.
gravitational forces between
interactions between
acceleration due to gravity of
motion of

Explanation:

Gravitational potential energy is related to the gravitational forces between objects. The formula for gravitational potential energy \(U =-\frac{GMm}{r}\) (for two - body system in space) or \(U = mgh\) (near the Earth's surface, where \(g=\frac{GM_{Earth}}{R_{Earth}^{2}}\)) shows its dependence on the gravitational interaction.

• The first option "gravitational forces between" is correct as gravitational potential energy is due to the gravitational interaction (force) between objects.
• The second option "interactions between" is too general. There are many types of interactions (e.g., electromagnetic, strong, weak) other than gravitational.
• The third option "acceleration due to gravity of" is incorrect. Acceleration due to gravity \(g\) is a factor in the formula \(U = mgh\) (near Earth's surface), but the energy is due to the force (not just the acceleration).
• The fourth option "motion of" is incorrect. Motion of an object is related to kinetic energy (\(K=\frac{1}{2}mv^{2}\)), not gravitational potential energy.

Answer:

gravitational forces between