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

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Answer 1 · 2018-01-15T01:24:03

#g/2#

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.