Gravitation Tes...

A satellite of mass $$'m'$$ is revolving around the earth in an orbit of radius $$10R$$ ($$R$$ is the radius of earth), the minimum energy required to give the satellite so that it can escape the gravitational field of the earth is [mass of earth$$=M_e$$]:

At what depth below the surface of the earth, is the value of $$g$$ same as that at a height of $$10\ km$$ from the surface of the earth?

If $$K$$ is the kinetic energy of the earth and $$P$$ is the gravitational potential energy of the earth as it revolves around the sun, then which of the following statements is true?

If the gravitational acceleration at the Earth's surface is $$9.81\,m{s^{ - 2}}$$, what is its value at a height equal to the diameter of the Earth from its surface?

A planet in a distant solar system is $$10$$ times more massive then the earth and its radius is $$10$$ times smaller. Give that escape velocity from the earth is $$11\ km/s$$, the escape velocity from the surface of the plants is

Choose the correct answer:
The height over the surface of the earth at which the gravitational field of the earth becomes $$\frac{1}{4}$$th of the field at the surface

The kinetic energy needed to project a body of mass m from the earth's surface (radius $$R$$) to infinity is -

A rubber ball is dropped from a height of $$5$$cm on a plane, where the acceleration due to gravity is not shown. On bouncing it rises to $$1.8$$m. The ball loses its velocity on bouncing by a factor of?

A man slides down a light rope whose breaking strength $$\eta$$ times the weight $$(\eta < 1)$$. The maximum acceleration of the man so that the rope just breaks is:-

The depth at which the effective value of acceleration due to gravity is one fourth that of its value on the earth's surface is