Question

check the correctness of the following equation
(al E=p^2/2 m.​

Answer 1

Explanation:

This is expression for kinetic energy

E = (1/2)mv²

multiplying and dividing by m

E = (1/2m) m²v²

we know linear momentum, p= mv

E = p²/2m

OR

Check dimensionally it's correct or not

Dimensions of energy are [M1L2T-2]

Dimensions of linear momentum are [M1L1T-1] here p² that's why [M2L2T-2]

Dimension of mass is [M1]

now in equation,

[M1L2T-2]=[M2L2T-2]/[M1]= [M1L2T-2]

Equation is correct.