First slide

Gravitaional potential energy

Question

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, then

Easy

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

Solution

Total energy = $- \frac{GMm}{2 r}$
As energy decreases r decreases & $v = \sqrt{\frac{GM}{r}}$ increases

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