SATHEE: Gravitation Question 353

Gravitation Question 353

Question: An asteroid of mass m is approaching earth initially at a distance of $[10 R_{e}]$ , with speed $[v_{i}]$ . It hits the earth with a speed $[v_{f} (R_{e},, a n d,, M_{e}]$ , are radius and mass of earth), then

Options:

A) $[v_{f}^{2} = v_{i}^{2} + \frac{2 G M}{M_{e} R} (1 - \frac{1}{10})]$

B) $[v_{f}^{2} = v_{i}^{2} + \frac{2 G M_{e}}{R_{e}} (1 + \frac{1}{10})]$

C) $[v_{f}^{2} = v_{i}^{2} + \frac{2 G M_{e}}{R_{e}} (1 - \frac{1}{10})]$

D) $[v_{f}^{2} = v_{i}^{2} + \frac{2 G M}{R_{e}} (1 - \frac{1}{10})]$

Show Answer

Answer:

Correct Answer: C

Solution:

$[- \frac{G M_{e} m}{10 R_{e}} + \frac{1}{2} m v_{i}^{2} = - \frac{G M_{e} m}{R_{e}} + \frac{1}{2} m v_{f}^{2}]$

$[∴ v_{f}^{2} = v_{i}^{2} + \frac{2 G M_{e}}{R_{e}} (1 - \frac{1}{10})]$ .

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Gravitation Question 353

Question: An asteroid of mass m is approaching earth initially at a distance of[10Re] , with speed[vi] . It hits the earth with a speed [vf(Re,,and,,Me] , are radius and mass of earth), then

Options:

Answer:

Solution:

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Question: An asteroid of mass m is approaching earth initially at a distance of $[10 R_{e}]$ , with speed $[v_{i}]$ . It hits the earth with a speed $[v_{f} (R_{e},, a n d,, M_{e}]$ , are radius and mass of earth), then