Question 209: Gravitation

Question

Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies, TA/TB, is ;

Accepted Answer

Orbital velocity V = $$\sqrt {{{GMe} \over r}} $$
T
A
= $${1 \over 2}$$ m
A
V$$_A^2$$
T
B
= $${1 \over 2}$$ m
B
V$$_B^2$$
$$ \Rightarrow $$  $${{{T_A}} \over {{T_B}}} = {{m 	imes {{Gm} \over R}} \over {2m 	imes {{Gm} \over {2R}}}}$$
$$ \Rightarrow $$  $${{{T_A}} \over {{T_B}}}$$ = 1

Answer

2

Answer

$${{1 \over 2}}$$

Answer

$$\sqrt {{1 \over 2}} $$

Answer

1

Gravitation

Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies, TA/TB, is ;

Choose the correct answer: