Starting with the definitions of momentum and kinetic energy, derive an equation for the kinetic energy of a particle expressed as a function of its momentum.

Problem 19PE

Solution 19 PE

Step 1 of 3:

In this equation, we need to derive an expression to express kinetic energy in terms of momentum

Step 2 of 3:

Momentum of a particle is defined by the product of mass and velocity of that particle

It is given by

----------(1)

Kinetic energy is the energy possessed by the virtue of its motion, if a body has mass and velocity , Kinetic energy is energy used in bring the body from motion to rest

It is given by

----------(2)