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qUESTIONS

A satellite is moving with a constant speed v in circular orbit around the earth. An object of mass ‘m’ is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of ejection, the kinetic energy of the object is

The energy required to take a satellite to a height ‘h’ above Earth surface (radius of earth 6.4×10³ km) is E1 and kinetic energy required for the satellite to be in a circular orbit at this height is E2. The value of h for which E1 and E2 are equal is

If the angular momentum of a planet of mass m, moving around the sun in a circular orbit is L, about the center of the sun, its areal velocity is

A system of binary stars of masses mA and mB are moving in circular orbits of radii rA and rB respectively. If TA and TB are the times periods of masses mA and mB respectively then

A satellite is revolving in a circular orbit at a height h from the earth surface, such that h << R where R is the radius of the earth. Assuming that the effect of earth’s atmosphere can be neglected. The minimum increase in the speed required so that the satellite could escape from the gravitational field of earth is

The force of gravitation is

The value of g on the earth’s surface is 980 cm/sec^2. Its value at a height of 64 km from the earth’s surface is

If the value of ‘g’ acceleration due to gravity, at earth surface is 10 m/s^2, its value in m/s^2 at the centre of the earth, which is assumed to be a sphere of radius ‘R’ metre and uniform mass density is

Two bodies of masses m1 and m2 are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at a separation distance r between them is

Given mass of the moon is 1/81 of the mass of the earth and corresponding radius is 1/4 of the earth. If escape velocity on the earth surface is 11.2 km/s, the value of same on the surface of the moon is

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