Gravitation Tes...

Use the assumptions of the previous question. An object weighed by a spring balance at the equator gives the same reading as a reading taken at a depth $$d$$ below the earth's surface at a pole $$(d < < R)$$. The value of $$d$$ is

If $$g$$ on the surface of the earth is $$9.8/ m{s}^{-2}$$, its value at a depth of $$3200\ km$$ (Radius of the earth=$$6400\ km$$) is

A person on the surface of the moon:

Assume that the earth moves around the sun in an elliptic orbit with sun at one of the foci. If the minimum and the maximum distance of the earth from the sun be $$\alpha \,{\text{and}}\,\beta $$ respectively, then the eccentricity of the elliptical orbit is

A body is released from a point distance r from the center of earth. If R is the earth r > R, then the velocity of the body at the time of striking the earth will be:

The depth at which the value of $$g$$ becomes $$25$$% of that at the surface of the earth is (in Km)

For escape of oxygen molecules from the earth's surface, its temperature should be:

A particle hanging from a massless spring stretches it by $$2cm$$ at the eath's surface. How much will the same particle stretch the spring at a height of $$2624Km$$ from the surface of the earth? (Radius of the earth$$=6400Km$$)

The period of rotaion of the earth so as to make any object weightless on its equator is

Assuming the earth as a sphere of uniform density, the acceleration due to gravity half way towards the centre of the earth will be if it weighed 250N on the surface?