A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance $\frac{a}{2}$ from the centre.

Why will a sheet of paper fall slower than one that is crumpled into a ball?

State the Archimedes principle.

Assertion :A block of wood is floating in a pond of water and its apparent weigth is zero.
Reason :The weight of water displaced (buoyant force) acting vertically upwards is just equal to the weight of the body which acts vertically downwards.

Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is:

A body attains a height equal to the radius of the earth when projected from earth's surface the velocity of body with which it was projected is

The direction of the gravitational intensity at an arbitrary point P for hemispherical shell of uniform mass density is indicated by the arrow: