The kinetic energy of a particle moving along a circle of radius R depends on the distance covered S as K `=alpha.S^(2),` where `alpha` is a constant. Find the force acting on the particle as a function of S.

Explanation

To find the force acting on a particle moving along a circle of radius \( R \) with kinetic energy given by \( K = \alpha S^2 \), we can follow these steps:

### Step 1: Relate Kinetic Energy to Velocity
The kinetic energy \( K \) of a particle is given by the formula:
\[ K = \frac{1}{2} mv^2 \]
Given that \( K = \alpha S^2 \), we can equate the two expressions:
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