A stellite of mass m is launched| Gravitation |JEE MAIN 2020

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JEE MAIN 2020

07-01-20 S1

Question

A stellite of mass m is launched vertically upwards with an initial speed $u$ from the surface of the earth. After it reaches height $R(R=$ radius of the earth), it ejects a rocket of mass $\frac{\mathrm{m}}{10}$ so that subsequently the satellite moves in a circular orbit. The kinetic energy of the rocket is (G is the gravitational constant; $M$ is the mass of the earth):

Select the correct option:

A

$5 m\left(u^2-\frac{119}{200} \frac{G M}{R}\right)$

B

$\frac{3 m}{8}\left(u+\sqrt{\frac{5 G M}{6 R}}\right)^2$

C

$\frac{m}{20}\left(u-\sqrt{\frac{2 G M}{3 R}}\right)^2$

D

$\frac{m}{20}\left(u^2+\frac{113}{200} \frac{G M}{R}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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