Question

using the principle of homogeneity of dimensions, check the correctness of formula K. E. =1/2mv2 where k.e. is kinetic energy, m is mass of an object and v is velocity of an object.​

Answer 1

Answer:

Explanation:

KINETIC ENERGY = 0.5 M V²

KINETIC ENERGY = A FORM OF ENERGY = [ML²T⁻²]..............(LHS)

0.5 M V²

05 IS A CONSTANT HENCE IT IS DIMENSIONLESS

M = MASS = [M]

V = VELOCITY = [LT⁻¹]

V² = [L²T⁻²]

M* V² = [M]*[L²T⁻²]

         = [ML²T⁻²].......................(RHS)

HENCE , LHS = RHS.

HENCE THE EQUATION KE =1/2 M V² IS DIMENSIONALLY  CORRECT.

HOPE THIS HELPS.

Answer 2

Answer:

Explanation:

mark my answer as braliest

1/2mv^2=mgh

LHS=1/2mv^2

1/2 being constant,its k can be neglected

therefore,mv^2=M[L^2T^{-2}]

RHS=mgh

=M[L^2T^{-2}]

from 1 and 2

LHS=RHS