Gravitation Tes...

How much deep inside the earth radius should a an go ,so that his wight become on fourth of that one the earth's surface/

Assuming the earth as a sphere of uniform density, the acceleration due to gravity half way toward the centre of the earth will be 

An ice cube of size $$a = 10\ cm$$ is floating in a tank $$(base = 50cm\times 50cm)$$ partially filled with water. The change in gravitational potential energy, when ice completely melts is ________ [Density of ice is $$900\ kg\ m^{-3}$$ and $$g = 10\ ms^{-2}]$$.

$$W$$ is the weight of a man on the surface of the earth. What would be his weight $$(W)$$ if he goes to a height $$(h)$$ equal to radius of the earth, from the surface of the earth?

When a small mass $$m$$ is suspended at lower end of the elastic wire having upper end fixed with ceiling. There is loss in gravitational potential energy. let it be x, due to extension of wire, mark correct option,   

Given that mass of earth is $$M$$ and its radius $$R$$. body is dropped from a height equal to the radius of the earth above the surface of the earth. When it reaches the ground velocity of body will be

The mean distance of Earth from the Sun is $$149.6 \times 10^6$$ km and the mean distance of Mercury from the Sun is $$57.9 \times10^6$$ km. The period of Earth’s revolutions is 1 year, what is the period of Mercury’s revolution?

If radius of earth contracted by 0.1% its mass remaining same,then weight of the body at earth's surface will increase by

At which height above the surface of the earth of radius $$R$$, will the acceleration due to gravity decrease by $$0.1\%$$?

An astronaut orbiting in a spaceship round the earth has a centripetal acceleration of $$2.45m/s^{2}$$. The height of spaceship from earth's surface is ($$R=$$radius of earth)