4 FAQs about Dimension of energy in physics

What is the dimension formula of energy?

Since mass is measured is kg Thus the dimension of mass is M And velocity is the rate of change of position and has unit m s 1 Therefore the dimension of velocity = L T 1 Thus dimension formula of energy = M L 2 T 2 From both the derivation using E=work done and E = m c 2 We can say that the dimension formula of energy is M L 2 T 2

What is dimension of energy?

Dimension of energy: Dimension of energy and work is the same, [E] = [ML2T-2] When a body is moving it gains kinetic energy. For example, a body of mass m moving with velocity r acquires kinetic energy of ½ mv 2. Most common form of energy is the mechanical energy.

How do you find the dimensional representation of energy?

Replacing equation (2) in equation (1), we get, Energy = m × c 2 Or, E = [M] × [L 1 T -1 ] 2 = M 1 L 2 T -2 . Therefore, the dimensional representation of energy can be summarised as M 1 L 2 T -2 . Energy can also be derived using Einstein's famous equation: E = m × c² Here, m is mass and c is velocity.

How do you calculate energy dimensionally?

Since, velocity (c) = Distance × [Time] -1 = M 0 L 1 T -1 ∴ The dimensional formula of velocity = M 0 L 1 T -1 . . . . (2) On substituting equation (2) in equation (1) we get, Energy = m × c 2 Or, E = [M] × [L 1 T -1] 2 = M 1 L 2 T -2. Therefore, energy is dimensionally represented as M1 L2 T-2.

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