Question

chech the correctness:1/2mv^2=mgh dimension​

Answer 1

Answer:

Correct

Explanation:

Let dimension be represented by [ ]

[ 1/2 mv^2] = [m][v^2] = [m][v]^2 = [M][LT-1]^2 = [ML2T-2]

[mgh] = [m][g][h] = [M][LT-2][L] = [ML2T-2]

Hence their dimensions are same

Answer 2

Explanation:

if the question is to prove then

kinetic energy =1/2mv^2

gravitational potenial energy=mgh

M(L/T)^2=ML^2T^-2. ((kinetic energy))

M(L/T)/T L= M(L/T)^2=ML^2T^-2

((potential energy))

they have same dimensions and also dimensions does not depend on magnitude so thats why they are equal as they both are enegies..

hope it helps...