If an object of mass m moves in uniform circular motion, a formce F acts on it, whose direction is always towards the centre of the circular path. If F depends on m, speed v of the object and radius r of the circular path, find an expression for F.

Explanation

To find the expression for the force \( F \) acting on an object of mass \( m \) moving in uniform circular motion, we can follow these steps:

### Step 1: Understand the Concept of Centripetal Force
In uniform circular motion, an object moves in a circular path with a constant speed. The force acting on the object is called centripetal force, which always points towards the center of the circular path.

### Step 2: Identify the Variables
The force \( F \) depends on:
- Mass \( m \) of the object
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