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

Solution

Total energy = $-\frac{\mathrm{GMm}}{2\mathrm{r}}$

As energy decreases r decreases & $\mathrm{v}=\sqrt{\frac{\mathrm{GM}}{\mathrm{r}}}$ increases

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