The dimensional formula for Kinetic Energy/Potential Energy is: M2L2T ML2T– 2 M0L0T0 ML2T
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We need to find the Dimensional formula for Kinetic Energy ( which is a kind of energy, So the dimensional formula of kinetic energy will be same as that of energy )
We know, Work done is calculated in energy, So work done is energy.
Now,
Work done = Force × Displacement
Now, Dimensional formula of:
Force = MLT^-1
Displacement = L
☛ Work Done = MLT^-1 × L
⇒ Work Done = ML^2T^-1
Hence, Dimensional formula of energy ( Kinetic Energy ) is ML^2T^-2
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