Question

A satellite is to revolve around the earth in a circle of radius 1000km with what speed should this satellite be projected into orbit? What will be the time period? Take 'g' at the surface of Earth = 9.8m/s³. The radius of Earth is 6400km..​

Answer 1

Explanation:

Speed of satellite = v

Use Newton's 2nd law,

GMm

_____ = mv^2/r

r^2

Acceleration = v^2/r

v^2 = GM/r

But GM = gR^2

v^2 = GR^2/r = 9.8 × 6400× 6400 × 1000 . ____________________

1000× 1000

v = 401408 km/s