In a hypothetical uniform and spherical planet of mass `M` and radius `R`, a tunel is dug radiay from its surface to its centre as shown. The minimum energy required to carry a unit mass from its centre to the surface is kmgR. Find value of `k`. Acceleration due to gravity at the surface of the planet is `g`.
The mass and diameter of a planet have twice the value of the corresponding parameters of earth. Acceleration due to gravity on the surface of the planet is
The mass of a planet and its diameter are three times those of earth's. Then the acceleration due to gravity on the surface of the planet is : (g =9.8 ms^(-2))
The binding energy of an object of mass m placed on the surface of the earth r is (R = radius of earth, g = acceleration due to gravity)
At what distance from the centre of the earth, the value of acceleration due to gravity g will be half that on the surface ( R = radius of earth)
A satellite of mass 'm' is revolving in an orbit of radius 2 R. The minimum energy required to lift it into another orbit of radius 3R is (R is radius of the earth and g is acceleration due to gravity on its surface. )
Suppose a planet exists whose mass and radius both, are half those of earth. Calculate the acceleration due to gravity on the surface of this planet.
Two planets of radii r_1 and r_2 are made from the same material. The ratio of the acceleration of gravity g_1//g_2 at the surfaces of the planets is
Acceleration due to gravity at earth's surface is 10ms^(-2) . The value of acceleration due to gravity at the surface of a planet of mass (1/5)^(th) and radius 1/2 of the earth is
