An object of mass m is dropped from a height h above the surface of a planet of mass m and radius r. find the speed of the object when it hits the planet surface. enter your answer as an expression in terms of m, m, r, h and the universal constant of gravity g.

Explanation:

mass of object = m

Mass of planet = M

Radius of planet = R

Height = h

Let the speed of the object as it hits the earth's surface is v.

the value of acceleration due to gravity

g = G M / R^2

where, g is the universal gravitational constant.

Use third equation of motion

where, u is the initial velocity which is equal to zero.

So,

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