Question

Derive an expression for orbital velocity. And also derive an expression for escape velocity.

Answer 1

Escape Velocity Formula

The escape velocity is the minimum velocity required to leave a planet or moon. For a rocket or other object to leave a planet, it must overcome the pull of gravity. The formula for escape velocity contains a constant, G, which is called the "universal gravitational constant". Its value is  . The unit for escape velocity is meters per second (m/s).





 escape velocity (m/s)

G = universal gravitational constant ()

M = mass of the planet or moon (kg)

R = radius of the planet or moon (m)