A gravitational field is present in a region and a mass is shifted from A to B through different paths as shown. If W1, W2 and W3 represent the work d...

In a gravitational field, the gravitational potential is given by, $$V = - {K \over x}$$ (J/Kg). The gravitational field intensity at point (2, 0, 3)...

A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity ...

Match List - I with List - II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-fa...

The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth an...

A particle of mass 'm' is projected with a velocity $$\upsilon $$ = kVe = (k < 1) from the surface of the earth. (Ve = escape velocity)The maximum ...

A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth?

The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is :

A body weight 200 N on the surface of earth. How much will it weight half way down to the centre of the earth?

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are KA, KB and KC, respectively. AC is the major axis a...

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is n...

The acceleration due to gravity at a height at a height 1 km above the rearth 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

A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g0, the value ...

Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by

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

At what height from the surface of earth the gravitation potential and the value of g are $$-$$5.4 $$ \times $$ 107 J kg$$-$$1 and 6.0 m s$$-$$2 respe...

A remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25 $$ \times $$ 106 m above the surface of earth. If earth's radius ...

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,

Kepler's third law states that square of period of revoluation (T) of a planet around the sun, is proportional to third power of average distance r be...

Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12R. If the...

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 =...

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

The radius of a planet is twice the radius of earth. Both have almost equal average mass densities. VP and VE are escape velocities of the planet and ...

A particle of mass 'm' is kept at rest at a height 3R from the surface of earth, where 'R' is radius of earth and 'M' is mass of earth. The minimum sp...

A body of mass 'm' is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body ...

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1 m, 2 m, 4 m, 8 m, . . . , respectively, from the origin. The resulti...

If $${v_e}$$ is escape velocity and $${v_o}$$ is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by

Which one of the following plots represents the variation of gravitiational field on a particle with distance r due to a thin spherical shell of radiu...

The height at which the weight of a body becomes $${\left( {{1 \over {16}}} \right)^{th}}$$, its weight on the surface of earth (radius R), is

A spherical planet has a mass MP and diameter DP. A particle of mass m falling freely near the surface of this planet will experience an acceleration ...

A geostationary satellite is orbiting the earth at a height of 5R above the surface of the earth, R being the radius of the earth. The time period of ...

A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and...

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point...

A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If $$v$$1 and $$v$$2 are the l...

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of rad...

(1)   Centre of gravity (C.G) of a body is the point at which the weight of the body acts (2)   Centre of mass coincide...

The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density ...

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point...

The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of ...

A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2...

The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If t1 is the time for the planet to...

Two satellites of earth, S1 and S2 are moving in the same orbit. The mass of S1 is four times the mass of S2. Which one of the following statements is...

The earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the earth. The escape velocity of a body fro...

For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is

Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on t...

The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the ...

Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liqu...

The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface ...

A body of mass m is placed on earth's surface which is taken from earth surface to a height of h = 3R, then change in gravitational potential energy i...

With what velocity should a particle be projected so that its height becomes equal to radius of earth?

For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be

Gravitational force is required for

A body of weight 72 N moves from the surface of earth at a height half of the radius of earth, then gravitational force exerted on it will be