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=(v^2)/(r)`

So, the centripetal acceleration is:

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