A) \[\sqrt{2GM\left( \frac{d-2R}{5dR} \right)}\]
B) \[\sqrt{\frac{GM(d-2R)}{dR}}\]
C) \[\sqrt{\frac{GM(d-R)}{Rd}}\]
D) \[\sqrt{\frac{GM(d+2R)}{5dR}}\]
Correct Answer: B
Solution :
[b] \[{{E}_{i}}=-\frac{3GMM}{d}\] \[{{E}_{f}}=-3\frac{GMM}{2R}+3\left( \frac{1}{2}M{{v}^{2}} \right)\] Initial energy = Final energy \[GM\left[ \frac{1}{2R}-\frac{1}{d} \right]=\frac{1}{2}{{v}^{2}}\] \[v=\sqrt{2GM\left[ \frac{d-2R}{2dR} \right]}\]You need to login to perform this action.
You will be redirected in
3 sec