4. A satellite of mass m is in a circular orbit of radius
4Re How much energy is required to transfer it to
a circular orbit of radius 7R ? [NCERT Pg. 196]
(Reis radius of earth, M is mass of earth).
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Answer:
Initial total energy of the satellite is E
i
=
4R
E
GM
E
m
Final total energy of the satellite is E
f
=
8R
E
GM
E
m
The change in the total energy is ΔE=E
f
−Ei
ΔE=−
8R
E
GM
E
m
−(−
4R
E
GM
E
m
)=−
8R
E
GM
E
m
÷
4R
E
GM
E
m
=
8R
E
GM
E
m
Thus, the energy required to transfer the satellite to the desired orbit=
8R
E
GM
E
m
Explanation:
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4. A satellite of mass m is in a circular orbit of radius
4Re How much energy is required to transfer it to
a circular orbit of radius 7R ? [NCERT Pg. 196]
(Reis radius of earth, M is mass of earth).
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