   Chapter 1, Problem 4P

Chapter
Section
Textbook Problem

Each of the following equations was given by a student during an examination: (a) 1 2 m v 2 = 1 2 m v 0 2 + m g h (b) v = v0 + at2 (c) ma = v2. Do a dimensional analysis of each equation and explain why the equation can’t be correct.

(a)

To determine
The correctness of the dimension of the equation (12mv2)=12mvo2+mgh.

Explanation

In the given equation the term, (mv2) and (mvo2) are having same dimension.

Thus the dimension of the above mentioned term is [M(LT)2]

(b)

To determine
The correctness of the dimension of the equation v=vo+at2.

(c)

To determine
The correctness of the dimension of the equation ma=v2.

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