Gravitation Tes...

The gravitational field due to a mass distribution is E = K/x³ in the x-direction. (K is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance x is

The mass of the earth is 6.00 × 10²⁴ kg and that of the moon is 7.40 × 10²² kg. The constant of gravitation G = 6.67 × 10^–11 N – m²/kg². The potential energy of the system is –7.79 × 10²⁸ joules. The mean distance between the earth and moon is

The escape velocity from earth is v_es. A body is projected with velocity 2v_es with what constant velocity will it move in the inter planetary space

If mass of earth is M, radius is R and gravitational constant is G, then work done to take 1 kg mass from earth surface to infinity will be

There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero?

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

Gas escapes from the surface of a planet because it acquires an escape velocity. The escape velocity will depend on which of the following factors :
I. Mass of the planet
II. Mass of the particle escaping
III. Temperature of the planet
IV. Radius of the planet
Select the correct answer from the codes given below :

Infinite number of masses, each 1 kg, are placed along the x axis at x = ± 1 m, ± 2m, ± 4m, ± 8m, ± 16m... The magnitude of the resultant gravitational potential in terms of gravitational constant G at the origin (x = O) is

The escape velocity of a sphere of mass m from earth having mass M and radius R is given by

A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is