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If the centripetal force is of the form ...

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

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To solve the problem of finding the values of \( a \), \( b \), and \( c \) in the expression for centripetal force of the form \( F = m^a v^b r^c \), we will follow these steps: ### Step 1: Write down the dimensions of force The left-hand side (LHS) of the equation represents force. The dimension of force in terms of mass (M), length (L), and time (T) is given by: \[ [F] = \text{kg} \cdot \text{m/s}^2 = [M][L][T^{-2}] \] Thus, the dimension of force is: ...
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