Question

expression for kinetic energy write its unit and dimension formula​

Answer 1

Explanation:

Since we  know that,

The dimension of energy [E]=[M1L2T−2]

The dimension of mass   [M]=[M1L0T0]

Dimension of velocity[V]=[M0L1T−1]

Let [E]=k[M]x[V]y

Where k is the proportionality constant which is a dimensionless quantity.

Therefore,

[M1L2T−2]=k[M1L0T0]x[M0L1T−1]y

So, x=1,y=2

Thus, We have

E=kmv2

It is found that k=21

Hence, E=21mv2

Answer 2

KE = 1/2 MV^2

Unit = Joule

Dimensional formula = [ML^2T^-2]