Linear momentum

Linear momentum:
The quantity of motion contained in a body is called its linear momentum.
Linear momentum of a body is measured by the product of mass and velocity of the body.
i.e.
Momentum = mass × velocity
    p  =  mv
Note:
1. p is a vector quantity and has direction same as that of velocity.
2. Unit of p kgm/s  is ( in SI system) and gcm/s (in c.g.s. system)
3. Dimensional formula for
= [MLT-1]
4. If two bodies of unequal masses and velocities have same momentum, then
i.e.       p1  =p1
or     m1v1 = m2v2
Hence for bodies of same momenta, their velocities are inversely proportional to their masses.
Note: 1. If a car and a truck move with same velocity, the truck will have greater momentum
due to larger mass.
2. We prefer a heavy hummer to derive a nail into a board due to large mass; it will impart a
large momentum to the nail.