Question

Derive the relationship between kinetic energy and momentum​

Answer 1

Explanation:

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.

Answer 2

Answer:

Kinetic energy and momentum of a moving body can be mathematically related as follows-

Consider the formula of kinetic energy-

K.E=12mv2

Multiply and divide R.H.S by m

⇒K.E=12mv2×mm =m2v22m =(mv)22m

We know that p=mv. Substituting for mv in the above equation we get-

K.E=p22m

The above equation gives the relation between Kinetic energy and momentum of the object which is under motion.