Gravitation

A satellite of mass \(m\) revolves around the earth of radius \(R\) at a height \(x\) from its surface. If \(g\) is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is

The time period of an earth satellite in circular orbit is independent of

If \(g\) is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass \(m\) raised from the surface of the earth to a height equal to the radius \(R\) of the earth is

The escape velocity for a body projected vertically upwards from the surface of earth is \(11\) \(km/s.\) If the body is projected at an angle of \({45^ \circ }\) with the vertical, the escape velocity will be

Two spherical bodies of mass \(M\) and \(5M\) & radii \(R\) & \(2R\) respectively are released in free space with initial separation between their centers equal to \(12R\). If they attract each other due to gravitational force only, then th...

The time period of satellite of earth is \(5\) hours. If the separation between the earth and the satellite is increased to \(4\) times the previous value, the new time period will become

The kinetic energy needed to project a body of mass \(m\) from the earth surface (radius \(R\)) to infinity is

The escape velocity of a body depends upon mass as

Energy required to move a body of mass \(m\) from an orbit of radius \(2R\) to \(3R\) is

If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then the satellite will