Question

Checking the correctness of formulae . let us consider an equation 1/2mv^2 =mgh please explain it ​

Answer 1

Answer:

it's formulae of kinetic energy

Explanation:

The equation is correct.

Explanation:

Given that,

The equation is

\dfrac{1}{2}mv^2=mgh21mv2=mgh

Taking left hand side

Kinetic energy K.E=\dfrac{1}{2}mv^2K.E=21mv2

Here, \dfrac{1}{2}21 is constant

m = mass

v = velocity

Dimension formula of kinetic energy

\dfrac{1}{2}mv^2=[M][L^2T^{-2}]21mv2=[M][L2T−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][LT−2][L]

mgh=[M][L^2T^{-2}]mgh=[M][L2T−2]

The Left hand side equal to right hand side.

Hence, The equation is correct.