Question

The variables x, v, and a have the dimensions of [L], [L]/[T], and [L]/[T]^2, respectively. These variables are related by an equation where n is an integer constant (1, 2, 3, etc.) without dimensions. What must be the value of n, so that both sides of the equation have the same dimensions? Explain your reasoning.

Answer 1

The equation is v^n = 2ax

Answer 2

I got to:\[\frac{ L }{ T }^{n}=2\frac{ L }{ T }^{a}\times L\]

Answer 3

=L^2/T^2
So n has to equal 2 right?

Answer 4

yes I get n=2