What are the dimensions of a and b in the relation F = at + b x, whrer F is force and x is distance ?

Explanation

To find the dimensions of \( a \) and \( b \) in the relation \( F = at + b x \), where \( F \) is force and \( x \) is distance, we will follow these steps:

### Step 1: Identify the dimensions of the variables
- The dimension of force \( F \) is given by the formula:
\[ [F] = [M][L][T^{-2}] \]
where \( M \) is mass, \( L \) is length, and \( T \) is time.
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