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 :

Engineering

Physics

Gravitational Force and Field

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, T_A/T_B, is :

$\frac{1}{2}$

$\sqrt{\frac{1}{2}}$

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${KE}_{A} = \frac{1}{2} m (\frac{GM}{R})$

${KE}_{B} = \frac{1}{2} (2 m) (\frac{GM}{2 R})$

$\Rightarrow \frac{{KE}_{A}}{{KE}_{B}} = 1$