A satellite going round the earth in a circular orbit loses some energ

1.	A satellite going round the earth in a circular orbit loses some energy due to a collision. Its speed is v and distance from the earth is d. (a) d will increase, v will increase. (b) d will increase, v will decrease.(c) d will decrease, v will decrease. (d) d will decrease, v will increase.
Answer» Correct Answer is: (d) d will decrease, v will increase. mv²/d = G MG/d² or GM = v²d or V∝ 1/√d Total energy = 1/2 mv² - G GM/d = - 1/2 G Mm/d.

A satellite going round the earth in a circular orbit loses some energy due to a collision. Its speed is v and distance from the earth is d. (a) d will increase, v will increase. (b) d will increase, v will decrease.(c) d will decrease, v will decrease. (d) d will decrease, v will increase.

Answer»

Correct Answer is: (d) d will decrease, v will increase.

mv²/d = G MG/d² or GM = v²d or V∝ 1/√d

Total energy = 1/2 mv² - G GM/d = - 1/2 G Mm/d.