Question

Check the consistency of the formula1/2mv2+ma=F

Answer 1

Given that,

The equation is

1/2 mv^2 = mgh

Taking left hand side

Kinetic energy K.E. = 1/2 mv^2

Here, 1/2 is constant

m = mass

v = velocity

Dimension formula of kinetic energy

1/2 mv^2

1/2 mv^2 =[M][L^2T^-2]

Taking right hand side

Dimension formula of potential energy

Potential energy P.E = mgh

Here, g = acceleration due to gravity

h = height

m = mass

mgh = [M][LT^-2][L]

mgh = [M][L^2T^-2]

The Left hand side equal to right hand side.

Hence, The equation is correct.

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