Prove that the critical `velocity or Orbital` velocity for a satellite orbiting. each in terms of density of the earth is `2Rsqrtfrac(2pirhoG)(3)`, where `rho` is the density and R is radius of earth and G is gravitational constant.

The maximum possible velocity of a satellite orbiting round the earth in a stable orbit is

Show that the escape velocity of a body from the surface of a planet of radius R and mean density rho is Rfrac(sqrt8pirhoG)(3) OR Show that the escape velocity of a body from the surface of the earth is 2Rfrac(sqrt2pirhoG)(3) , where R is the radius of the earth and rho is the mean density of the earth. OR Obtain formula of escape velocity of a body at rest on the earth's surface in terms of mean density of erth.

The orbital velocity of a satellite very near to the surface of earth is v. What will be its orbital velocity at an altitude 7 times the radius of the earth?

Show that the critical velocity of a body revolving in a circular orbit very close to the surface of a planet of radius R and mean density rho is 2R sqrt((Gpi rho)/(3)) .

The escape velocity from the surface of the earth of radius R and density rho

Discuss the variation of g with depth and derive the necessary formula. OR Show that the gravitational acceleration due to the earth at a depth d from its surface is g_d= g[1- frac(d)(R)] , where R is the radius of the earth and g is the gravitional acceleration at the earth's surface. OR Discus the variation of acceleration due to gravity with depth 'd' below the surface of the earth OR Derive an expression for acceleration due to gravity at depth 'd' below the surface of earth

Obtain the relation between escape velocity and critical velocity when satellite is orbiting very close to earth. OR Show//prove that the escape velocity of a satellite orbiting round the earth is equal to sqrt2 time its critical velocity. OR Show that V_e = sqrt2. V_c for a satellite orbiting round the earth.

Escape velocity of a satellite of the earth at an altitude equal to radius of the earth is v. What will be the escape velocity at an altitude equal to 7R, where R = radius of the earth?

If R is the radius of the earth and g the acceleration due to gravity on the earth's surface, the mean density of the earth is

Define critical velocity and derive an expression for the same. OR What is critical velocity? Derive an expression for critical velocity of a satellite orbiting at a certain height. Also discuss the formula when satellite is very close to the earth's surface.