Question

A satellite of mass m is orbiting in a circular orbit of radius 2R around the earth. The orbital speed of the satellite is [Take Mas mass of earth)

1) √GM/4R

2)√GM/2R

3)√GM/R

4)√GM/3R



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Answer 1

Answer:

Initial total energy of the satellite is

Ei−GMEm4RE

Final total energy of the satellite is

Ef=−GMEm8RE

The change in the total energy is

ΔE=Ef−Ei

ΔE=−GMEm8RE−(−GMEm4RE)

=−GMEm8RE+GMEm4RE=GMEm8RE

Thus, the energy required to transfer the satellite to the desired orbit =GMEm8RE

Answer 2

Answer:

option 4

Explanation:

orbital speed = root GM/R

here R is 2R+ R= 3R

so...Vo= root GM/3 R