Question

vi)
Derive the formula for kinetic energy of
a particle having mass m and velocity v
using dimensional analysis​

Answer 1

Answer:

1/2 mv2

is the formula for kinetic energy

Answer 2

Answer:

1/2 mv^2 = ML^2 T^-2

Explanation:

we know kinetic energy of the particle = 1/2 mv ^2

since 1/2 IS DIMENSIONLESS CONSTANT it can be neglected

dimensional formula for mass =M

dimensional formula for velocity = LT^-1

dimensional formula for energy =M(LT^-1)^2

therefore dimension formula for kinetic energy = ML^ 2 T^-2