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.
(a) U < K
(b) U > K
(c) U = K.

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Solution

(b) U > K

For a system to be bound , total energy of the system should be negative.As we know that kinetic energy can never be negative.
E<0 & K>0 & E=K+U
it gives that 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. (a) U < K (b) U > K (c) U = K.

(b) U > K For a system to be bound , total energy of the system should be negative.As we know that kinetic energy can never be negative. E<0 & K>0 & E=K+U it gives that U>K.

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.
(a) U < K
(b) U > K
(c) U = K.

(b) U > K

For a system to be bound , total energy of the system should be negative.As we know that kinetic energy can never be negative.
E<0 & K>0 & E=K+U
it gives that U>K.