A rocket of mass
is launched vertically upward with an initial speed
from the surface of the earth. After it reaches height
(
radius of earth), it ejects a satellite of mass
so that subsequently the satellite moves in a circular orbit. The kinetic energy of the satellite is (
gravitational constant;
is the mass of earth)
Text Solution
Verified by ExpertsC
As we know,

The rocket splits at height
. Since, sepration of rocket is impulsive therefore conservation of momentum in both radial and tangential direction can be applied.

Kinetic energy of satellite 

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