Question

Two satellites have their masses in the ratio 3:1. The radii of their circular orbits are in the ratio 1:4. What is the total mechanical energy of A and B?

Find the answer

Answer 1

Answer:

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Answer 2

Answer:

Total energy T.E.=

2r

−GMm

Now Total energy for p, T

p

=

2r

p

−GMm

similarly T

q

=

2r

q

−GMm

Taking the ratio we get,

T

q

T

p

=

2r

p

−GMm

×

−GMm

2r

q

=

r

p

r

q

. Given

r

q

r

p

=3.

Therefore,

T

q

T

p

=

3