Question

Hi there! I would like someone to check this for me and complete the answer. Thanks!?!

Answer 1

`g/2`

Explanation:

The generic equation for centripetal force is:
`a = v^2/r =r omega^2`

Let `r= r_1=130m` when a = g

`therefore g = r_1omega^2 rArr omega^2= g/r_1`

Because angular speed `omega` stays unchanged, then

At `r=r_2 = 65m,`

`a = r_2omega^2= r_2(g/r_1)= (r_2/r_1)g = (65cancelm)/(130cancelm)g = 1/2g`

Your intuition approach is like this:

`because g = 130 omega^2`
`therefore a = 65 omega^2 = (130/2)omega^2 = g/2`

Which is just as good if not better than the proof above.