Question

The radius of the Earth is 6370km. If a satellite orbits 150km above the Earth’s surface, what is the velocity of the orbit? The Earth’s mass is 5.97×1024kg. Give your answer in m⋅s−1 , to three significant figures and do not include units.

Answer 1

Answer:

Explanation:

For satellite to be in equilibrium in the orbit, The centrifugal force should be equal to the gravitational force

$\frac{mv^{2} }{r} = \frac{GMm}{r^{2} }$

Upon solving, $v = \sqrt{\frac{GM}{r} }$

G = Universal constant of Gravitation

M = Mass of Earth

r = radius of earth + height of satellite from surface

$v =$ 7814.951 m/s