Question

let us consider on equation 1/2 mv^2=mgh where m is the mass of the body v its velocity,g is acceleration due to gravity and h is the height.Check whether this equation is dimensionally correct
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Answer 1

Answer:

1/2 mv^2=mgh

The dimensions of L.H.S. are

[M] [LT-1]2 = [L2T-2] = [ML2T-2]

The dimensions of R.H.S. are

[M] [LT-2] [L] = [M] [L2T-2] = [ML2T-2]

The dimensions of L.H.S. and R.H.S. are same,

hence the equation is dimensionally correct.

Answer 2

Answer:

this is correct

Explanation:

if we throw a ball in y axis such that it goes up H distance 1/2mv2 = mgh where h=H/2 because at half height potential energy is equal to kinetic energy