The escape velocity for earth is $$v$$. A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:

An object of mass $$100 \mathrm{~kg}$$ falls from point $$A$$ to $$B$$ as shown in figure. The change in its weight, corrected to the nearest integer is ($$R_E$$ is the radius of the earth)

The mass of a planet is $$\frac{1}{10}$$th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

The minimum energy required to launch a satellite of mass $$m$$ from the surface of earth of mass $$M$$ and radius $$R$$ in a circular orbit at an altitude of $$2 R$$ from the surface of the earth is: