Question

The equation for the speed of a satellite in a circular orbit around the Earth depends on mass. Which mass? The equation for the speed of a satellite in a circular orbit around the Earth depends on mass. Which mass? The mass of the satellite The mass of the sun The mass of the Earth

Answer 1

Answer:

$v=\sqrt{\frac{G.M_c}{R} }$

$M_c=$ mass of the earth.

Explanation:

During the revolution of a satellite around a central mass of heavenly body:

$\rm Centripetal\ force\ on\ satellite = Gravitational\ force\ on\ the\ satellite\ due\ to\ the\ central\ heavenly\ mass$

$F_c=F_G$

$M_s.\frac{v^2}{R} =G.\frac{M_s.M_c}{R^2}$

where:

G = gravitational constant

R = radius of the orbit

$M_s\ \&\ M_c=$mass of satellite and mass of central heavenly body (here we've the Earth)

v = orbital speed of the satellite

$\Rightarrow v^2=G.\frac{M_c}{R}$

$v=\sqrt{\frac{G.M_c}{R} }$