Question

What is kinetic energy? Derive the relationship between Kinetic energy and momentum.​

Answer 1

Answer:

When energy is released due to specific kind of motion , this is called kinetic energy.

$ke = \frac{1}{2} m {v}^{2}$

Momentum is the product of mass and velocity.

It is denoted by P

P= mv

Answer 2

Kinetic Energy- The energy posses by the motion of the body is known as kinetic energy.

•In translational motion kinetic energy of a body of mass 'm' moving with a speed 'v' will be

$\frac{1}{2}m {v}^{2}$

•A moving body always have always kinetic energy.

•Velocity is frame dependent that means kinetic energy is also frame dependent.

Relation Between Kinetic Energy and Momentum

$We \: Know \: that \\ KE= \frac{1}{2}m {v}^{2} \times \frac{m}{m} \\ = \frac{1}{2} ({ \frac{mv}{m}) }^{2}$

$KE = \frac{1}{2} \frac{ {P}^{2} }{m} \\ KE = \frac{ {P}^{2} }{2M}$

$P = \sqrt{2mKE}$