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Given that the potential energy of a body depends upon the mass of the body, its height above theground and acceleration due to gravity, derive an expression for the potential encrgy by themethod of dimensions. The dimensions of energy are [M 'L ]2. |
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Answer» Derivation for the equation ofPotenstial Energy:Let the work done on the object against gravity = W Work done, W = force ×displacement Work done, W = mg×h Work done, W = mghSince workdone on the object is equal to mgh, an energy equal to mgh units is gained by the object . This is the potential energy (Ep) of the object. Ep= mgh |
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