Question

Find out the dimensions of K in the equation F=Km^2/r^2

Answer 1

F=Km^2/r^2

[F] = [ML⁻¹T²]

[m^2] = [M²]

[r^2] = [L²]

Now,putting in equation,

[ML⁻¹T²] = K[M²][L²]

K = [ML⁻¹T²] / [M²][L²] = [M⁻¹L⁻³T²]

Answer 2

Explanation:

Dimension of F=MLT^-2

F=km^2/r^2

Putting dimensions

MLT^-2=kM^2L^-2. (r is distance)

therefore k=M^-1L^3T^-2

Hope it helps