Questions in gravitation

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The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is ${v_e}$ on earth
If the radius of a planet is four times that of earth and the value of g is same for both, the escape velocity on the planet will be
If the radius and acceleration due to gravity both are doubled, escape velocity of earth will become
A planet has twice the radius but the mean density is $\frac{1}{4}th$ as compared to earth. What is the ratio of escape velocity from earth to that from the planet
The escape velocity from earth is ${v_{es}}.$ A body is projected with velocity $2{v_{es}}$with what constant velocity will it move in the inter planetary space
A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $G = 6.67 \times {10^{ - 11}}N{m^2}/k{g^2})$
For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
3 particles each of mass m are kept at vertices of an equilateral triangle of side L. The gravitational field at centre due to these particles is
The value of escape velocity on a certain planet is 2 km/s. Then the value of orbital speed for a satellite orbiting close to its surface is
Four particles each of mass M, are located at the vertices of a square with side L. The gravitational potential due to this at the centre of the square is

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