The magnitude of gravitational potential energy of the moon-earth system is U with zero potential energy at infinite separation.
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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(b ) U>K.
EXPLANATION:
Let the mass of the moon = m, velocity v and its distance from the earth = a.
v = √(GM/a), K.E. = K = ½mv² = ½m*GM/a
→GMm/a = 2K
The magnitude of gravitational potential energy of the moon
U = GMm/a =2K
Obviously U>K.
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