Question

If the kinetic energy of a particle is equal to twice its rest mass, what is the velocity of the particle? Determine if relativistic calculations are required?

Answer 1

The velocity of the particle is 2 m/s,

Step-by-step explanation:

Kinetic energy is defined as energy of the body due to its motion. It is given by :

`K.E=(1)/(2)mv^2`

Where :

m = mass of the object

v = velocity of the object

We have , particle with mass m and its kinetic energy is twice its mass.

`K.E=2m`

`2m=(1)/(2)mv^2`

`v^2=(4)/(1)`

`v=2`

And unit of velocity are m/s , so the velocity of the particle is 2 m/s.