Question

State the relation between the kinetic energy and momentum ?​

Answer 1

There is a relation between kinetic energy and momentum as both the properties are linked with velocity. Momentum gets expressed as a multiplication of velocity and mass, whereas kinetic energy is the product of the square of speed and half of the mass.

Answer 2

Explanation:

Relation Between Momentum and Kinetic Energy

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.

If the Momentum(p) is constant K.E∝1m

If Kinetic Energy(K.E) is constant p∝m−−√

If mass(m) is constant p∝K.E−−−−√

hope this helps you niha mam✨