How do we calculate The kinetic energy of a particle of a mass "M" which has linear momentum "P" maybe given by.
The kinetic energy (KE) of a particle is given by the formula:
KE = (1/2) * M * v^2
Where:
- M is the mass of the particle,
- v is the velocity of the particle.
To calculate the kinetic energy using the linear momentum P, we need to know the relationship between momentum and velocity.
The linear momentum (P) of a particle is defined as the product of its mass and velocity:
P = M * v
From this equation, we can solve for v:
v = P / M
Substituting this value of v into the formula for kinetic energy, we get:
KE = (1/2) * M * (P / M)^2
Simplifying this equation further, we have:
KE = (1/2) * (P^2 / M)
Therefore, the formula for calculating the kinetic energy of a particle with linear momentum P and mass M is:
KE = (1/2) * (P^2 / M)