The escape velocity of an object from the earth depends upon the mass of the earth ( M ), its mean density `(rho)`, its radius ( R ) and the gravitational constant ( G ). Thus the formula for escape velocity is

The escape velocity of a body from the surface of the earth depends upon (i) the mass of the earth M, (ii) The radius of the eath R, and (iii) the gravitational constnat G. Show that v=ksqrt((GM)/R) , using the dimensional analysis.

The escape velocity of a body depends upon its mass (m) as:

The escape velocity of a body depends upon its mass .m. as

The escape velocity from the surface of the earth is (where R_(E) is the radius of the earth )

The escape velocity from the surface of the earth is (where R_(E) is the radius of the earth )

The escape velocity of a projectile from the earth.s surface is given by the formula (R to radius of the earth and .g. is acceleration due to gravity)