Question

the dimensional formula of energy of a mass under root is the same as that of ​

Answer 1

Energy = Power × time = (work done÷ time)× time = work done = Force × displacement = (mass × acceleration) × displacement= [M] × [LT^-2] × [L] = [ML^(1+1)T^-2] = [ML^2T^-2]

Answer 2

Answer:

The answer is  $[ M^{1} L^{2} T^{-2} ]$

Explanation:

One of the forms of energy is kinetic energy.

The formula of KE is:

$KE = \frac{1}{2} m v^{2}$

Hence, the dimensional formula of KE:

KE = $[ M^{1} L^{0} T^{0} ] [ M^{0} L^{2} T^{-2} ]$

KE = $[ M^{1} L^{2} T^{-2} ]$

Since, all forms of energy have same dimensional formulas, the answer is  $[ M^{1} L^{2} T^{-2} ]$.

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