The magnitude of gravitational potential energy of the moon-earth system is U with zero potential energy at infinite separation. The kinetic energy of the moon with respect to the earth is K.

U < K

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U > K

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Solution

The correct option is A U < K
For moon-earth system,
Potential energy $U = - \frac{G M_{m} M_{e}}{r}$
Kinetic Energy $K = \frac{G M_{m} M_{e}}{r} \Rightarrow U < K$

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The magnitude of gravitational potential energy of the moon-earth system is U with zero potential energy at infinite separation. The kinetic energy of the moon with respect to the earth is K.

The correct option is A U < KFor moon-earth system,Potential energy U=−GMmMerKinetic Energy K=GMmMer⇒U<K

The correct option is A U < K
For moon-earth system,
Potential energy $U = - \frac{G M_{m} M_{e}}{r}$
Kinetic Energy $K = \frac{G M_{m} M_{e}}{r} \Rightarrow U < K$