Gravitation Questions

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1m, 2m, 4m, 8m, ...., respectively, from the origin. The resulting gravitational potential due to this system at the ori...

Four particles, each of mass M and equidistant from each other, move along a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is...

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 × 1024 kg) have to be compressed to be ...

Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by

Kepler′s third law states that square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance r between sun and planeti.e. T2 = Kr3here K is co...

Consider a drop of rain water having mass 1 g falling from a height of 1 km. It hits the ground with a speed of 50 m/s. Take 'g' constant with a value 10 m/s2. The work done by the (i) gravita...

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then :-

Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will :-

Which of the following statements are correct ? (a) Centre of mass of a body always coincides with the centre of gravity of the body (b) Central of mass of a body is the point at which the total gravi...

At what height from the surface of earth the gravitation potential and the value of g are -5.4 × 107 J kg-2 and 6.0 ms-2 respectively? Take the radius of earth as 6400 km:...

The ratio of escape velocity at earth (υe) to the escape velocity at a planet (υp) whose radius and mean density are twice as that of earth is:...

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten time larger in magnitude, which of the following is not correct ?

Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projectedfrom the midpoint of the line joining their centres, perpendicular to the line. The gravitational cons...

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R ?

A satellite is moving with a constant speed ′V′ in a circular orbit about the earth. An object of mass ′m′ is ejected from the satellite such that it just escapes from the grav...

Which one of the following plots represents the variation of gravitational field on a particle with distancer due to a thin spherical shell of radius R? (r is measured from the centre of the spherical...

The height which the weight of a body becomes 1/16th, its weight on the surface of earth (radius R) is

A geostationary satellite is orbiting the earth at a height of 5R above the surface of the earth, R beingthe radius of the earth. The time period of another satellite in hours at a height of 2R from t...

A spherical planet has a mass Mp and diameter Dp. A particle of mass m falling freely near the surfaceof this planet will experience an acceleration due to gravity, equal to...

A particle of mass m is upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due...