The mass of a satellite is `M//81` and radius is `R//4` where `M` and `R` are the mass and radius of the planet. The distance between the surfaces of planet and its satellite will be atleast greter than:

What will be the gravitational potential on the surface of a planet of mass M and radius R ?

The binding of a satellite of mass m in a orbit of radius r is

Two satellites of masses 80 kg and 120 kg revolve round a planet in circular orbits of radii 16 R and 9 R respectively, where R is radius of the planet. The ratio of the speeds of satellites will be

A small body of mass is projected with a velocity just sufficient to make it reach from the surface of a planet ( or radius 2R and mass 3M ) to the surface of another planet (or radius R and mass M ). The distance between the centres of the two spherical planets is 6R . the distance of the body from the centre of bigger planet is 'x' at any moment. During the journey, find the distance 'x' where the speed of the body is (a) maximum (b) minimum. Assume motion of body along the line joining centres of planets.

The earth is a homogeneous sphere of mass M and radius R. There is another spherical planet of mass M and radius R whose density changes with distance r from the centre as p=p_(0)r. (a) Find the ratio of acceleration due to gravity on the surface of the earth and that on the surface of the planet. (b) Find p_(0).

An artificial satellite (mass m) of a planet (mass M) revolves in a circular orbit whose radius is n times the radius R of the planet in the process of motion the satellite experiences a slight resistance due to cosmic dust. Assuming the force of resistance on satellite to depend on velocity as F=av^(2) where 'a' is a constant caculate how long the satellite will stay in the space before it falls on to the planet's surface.

An artificial satellite (mass m) of a planet (mass M) revolves in a circular orbit whose radius is n times the radius R of thhe planet in the process of motion the satellite experiences a slight resistance due to cosmic dust. Assuming the force of resistance on satellite to depend on velocity as F=av^(2) where 'a' is a constant caculate how long the satellite will stay in the space before it falls onto the planet's surface.

An artificial satellite (mass m) of a planet (mass M) revolves in a circular orbit whose radius is n times the radius R of thhe planet in the process of motion the satellite experiences a slight resistance due to cosmic dust. Assuming the force of resistance on satellite to depend on velocity as F=av^(2) where 'a' is a constant caculate how long the satellite will stay in the space before it falls onto the planet's surface.

If a planet consists of a satellite whose mass and radius were both half that of the earh, then acceleration due to gravity at its surface would be