Question

State the relation between kinetic energy and momentum of a body​

Answer 1

Answer:

It depends on two variables – velocity and mass of an object. 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.

Explanation:

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Answer 2

Relationship between kinetic energy and momentum :

K.E = 1/2 mv² (1)

P = mv or v = P/m (2)

Substitute value of v = p/s in (1) :

K.E = 1/2 m(p/m)²

K.E = p²/2m

p² = 2 mK.E

∴ Kinetic energy and momentum are related as :

p = √2mK.E

K.E = p²/2m