Given that the acceleration of gravity 980 cm per sec per sec, the centripetal acceleration of an artificial satellite in a circular

acceleration
centripetal

#1

Given that the acceleration of gravity at the Earth’s surface is about 980 cm per sec per sec, the centripetal acceleration [v squared over r] of an artificial satellite in a circular orbit with a radius 3.9 times that of the Earth’s radius would be about _____ cm per sec per sec. (Hint: F = m a, and the force of gravity gets weaker as the square of the distance, so how much weaker is gravity at 3.9 times the Earth’s Radius than it is at the surface of the Earth?)
Show work i wanna see how to do it

Answer:

(980 cm/s^2) / 3.9^2