Question:
derive the expression for kenetic energy by using dimensional analysis
Answer:
As we know that KE = ½ mv2
Unit of M(mass) = M kilograms
Unit of velocity = metre/sec
But, here, we are dealing with v2 = [L2T-2]
Therefore,dimensional formula of KE = [M L2T-2]
Hence, the unit of Kinetic Energy = Mass (Length)2(Time)-2
The Dimensional formula of Kinetic Energy is [ML2T-2].
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