The magnitude of gravitational potential energy of the moon-earth syst

1.	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.
Answer» (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.

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.

Answer»

(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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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 &lt; K .(b) U &gt; K.(c) 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.