Using dimensional analysis, show that energy can be calculated from the following energy equations. hint, in si, here we want joules.
(6 pts)
e = 1 2 mv2 (5)
e = mgh (6)

Explanation:

1. The kinetic energy of any object is calculated as :

...........(1)

Dimensional formula of energy,

Dimensional formula of mass is

Dimensional formula of velocity,

So,

LHS = RHS

2. The potential energy is given by :

Dimensional formula of mass is

Dimensional formula of g is

Dimensional formula of height is

Dimensional formula of energy,

So,

So, LHS = RHS

Hence, this is the required solution.

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