The escape velocity of a sphere of mass m is given by (G= univesal gravitational constant, `M_(e) =` mass of the earth and `R_(e) =` radius of the earth)

Calculate the surface potentail of the earth. Gravitational constant G, mass of the earth and the radius of the earth are given ?

The acceleration due to gravity'g' for objects on or near the surface of earth is related to the universal gravitational constant 'G' as ('M' is the mass of the earth and 'R' is its radius):

The speed v of a satellite moving in a circular orbit around the earth depends on the gravitational constant G , mass of the earth m_(e) and radius of circular orbit r . Estabish the relation using dimensions.

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.

Find the escape velocity of particle of mass m which is situated at a radial distance r (from centre of earth) above the earth's surface. M is the mass earth.

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