Gravitation Tes...

Which of the following statements should be correct for a rocket fired from the earth towards the moon ?

A body of mass $$5\ kg$$ is cut into two parts of masses (a) $$\dfrac {m}{4}; \dfrac {3m}{4}$$ (b) $$\dfrac {m}{7}; \dfrac {5m}{7}$$ (c) $$\dfrac {m}{2}; \dfrac {m}{2}$$ (d) $$\dfrac {m}{5}; \dfrac {4m}{5}$$. When these two pieces are kept apart by certain distance; In which case the gravitational force acting is maximum?

The weight of a person reduces to one-sixth on the Moon than on the Earth What changes will you notice in the mass of a person on the Moon in comparison to the Earth?

A balloon filled with air is weighed(W) so that it just floats in water as shown in the figure. When it is further pushed by a short distance in water, it will.

The moon's radius is $$1/4$$ times that of the earth and its mass $$1/80$$ times that of the earth. If g represents the acceleration due to gravity on the surface of the earth, then on the surface of the moon its value is :

If $$R$$ is the radius of a planet, $$g$$ is the acceleration due to gravity and $$ G $$ is the gravitational constant then find the density of the planet.

A mass is suspended from a spring having constant 'K' is displaced vertically and released, it oscillates with period 'T'. The weight of the mass suspended is ($$g =$$ gravitational acceleration)

Suppose universal gravitational constant of starts decrease, then:

The radius of the Earth is about $$6400 km$$ and that of Mars is about $$3200 km$$. The mass of the Earth is about $$20$$ times the mass of Mars. An object weighs $$500 N$$ on the surface of Earth. Its weight on the surface of Mars would be:

Two masses $$m$$ and $$M$$ are kept at a distance $$r$$ from each other. The ratio of the force exerted on $$m$$ due to $$M$$ and that of $$M$$ due to $$m$$ is equal to: