Assuming the earth is a uniform sphere of mass M and radius R, show that the acceleration of fall at the earth's surface is given by g = Gm/R2 . What is the acceleration of a satellite moving in a circular orbit round the earth of radius 2R​

Explanation:

The weight of an object on the surface of the earth is equal to the gravitational force exerted by the earth on the object.

which gives us an expression for the acceleration due to gravity g as

At a height h = R, the radius of a satellite's orbit is 2R. Then the acceleration due to gravity at this height is

Simplifying this, we get

waves moving from a fast medium to a slow medium will experience a reflection as light travels more slowly than red light. total internal reflection occurs when the critical angle is.