Question

A satellite of mass "m1" orbits the Earth 3.8 x 108 meters above the Earth (mass=5.93 x 1024). If the force due to gravity of the Earth on the satellite is 7.99 N, what
is the mass of the satellite?
Your answer:
1.28 x 108kg
2914.6 kg
3.11 x 10kg
53.99 kg
1.74 x 1028 kg

Answer 1

Answer:2914.6kg

Explanation:

F = GMm/r^2

r = 3.8x10^8 m

G = 6.67x10^-11 N·m^2/kg

M : the mass of the Earth

m : the mass of the satellite

7.99 = (6.67x10^-11 x 5.93x10^24 x m ) / (3.8x10^8)^2

m = 2916.9 kg