Question

Derive a relation between kinetic energy and momentum.​

Answer 1

Answer:

The momentum of an object is proportional to the object's velocity - if you double its velocity, you double its momentum. The kinetic energy of an object is proportional to the square of the object's velocity - if you double its velocity, you quadruple its kinetic energy. This has important consequences.

Kinetic energy is the integral of momentum. For constant mass, momentum increases linearly with speed, while kinetic energy increases as the square of speed. A light object traveling fast is more damaging than a heavy object with the same momentum traveling slowly because it carries more energy.

Answer 2

Answer:

the relation between the linear momentum and the kinetic energy is, p=√2m(K. ... Momentum is directly proportional to the object's mass and its velocity. Thus, the greater an object's mass or the greater its velocity, the greater will be its momentum.