If the centripetal force is of the form `m^a v^b r^c`, find the valus of a,b, and c.

Explanation

To solve the problem of finding the values of \(a\), \(b\), and \(c\) in the expression for centripetal force given as \(F = m^a v^b r^c\), we will use dimensional analysis. Here are the steps:

### Step 1: Understand the Dimensions of Force
The centripetal force \(F\) can be expressed in terms of mass \(m\) and acceleration \(a\):
\[ F = m \cdot a \]
The dimensions of mass \(m\) are \([M]\), and the dimensions of acceleration \(a\) (which is change in velocity per unit time) are \([L T^{-2}]\). Thus, the dimensions of force are:
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