Question

# A satellite of mass 350 kg is in a circular orbit around the Earth at an...

A satellite of mass 350 kg is in a circular orbit around the Earth at an altitude equal to the Earth's mean radius.

(a) Find the satellite's orbital speed.
m/s
(b) What is the period of its revolution?
min
(c) Calculate the gravitational force acting on it.
N

#### Homework Answers

Answer #1

Part (a)

Consider gravitational force law and second law of motion.

Grav Force, = G.M.m/r2

centripetal force = m.v2/r

Gravitational force = centripetal force

We get

v2 = G.M/r

Here r = re + re  ( mean radius of Earth)

v2 = 6.67x10-11x5.98x1024/2x6.37x106

v = 5.60x103 m/s

(b)

Calculate time period of revolution.

Time period, T = 2.π.r/v

= 2×3.14 x 2x6.37x106/5.63x103

= 1.42x104s

= 2236.67min

(c)

Calculate gravitational force acting on it.

F' = GM.m/r2

= 350 x(5.60x103)2/2x6.37x106

= 861.5N

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