The speed of a body moving in uniform circular motion is doubled and the radius of the circular path is halved. What happens to the centripetal force?

Explanation

To determine what happens to the centripetal force when the speed of a body moving in uniform circular motion is doubled and the radius of the circular path is halved, we can follow these steps:

### Step 1: Write the formula for centripetal force
The centripetal force \( F_c \) acting on an object moving in a circular path is given by the formula:
\[ F_c = \frac{mv^2}{r} \]
where:
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