The escape velocity of a sphere of mass m is given by (G

Home » Mechanics » Gravitation » Question

The escape velocity of a sphere of mass m is given by (G = Universal gravitational constant; M = Mass of the earth and R_e = Radius of the earth)

Escape velocity is the minimum velocity with which a body is projected to escape from earth's gravitational field

	1	mv_e² =	GMm	mv_e² ⇒ v_e = √2GM / R_e
	2		R_e

		GM		^{1 / 2}
		R_e

		2GM		^{1 / 2}
		R_e

		2GMm		^{1 / 2}
		R_e

		2GM + R_e		^{1 / 2}
		R_e