Question

what centripetal acceleration is needed to keep a 1 kg ball moving in a circle of radius 2 m at a speed of 5 m/s

Answer 1

We will have the following:

First, we know that the centripetal acceleration is given by:

$a_c=\frac{v^2}{r}$

So, the centripetal acceleration is:

$a_c=\frac{(5m/s)^2}{(2m)}\Rightarrow a_c=\frac{25}{2}m/s^2$$\Rightarrow a_c=12.5m/s^2^{}$