A child swings from a rope of length L. If she starts her swing with the rope horizontal what is her acceleration at the bottom of the swing?

Question

a. 2gL^2
b. g/2
c. g
d. 2g/l
e. 2g

Answer 1

ke at bottom=PE at top
1/2 m v^2=mgh
1/2 v^2=gL
v^2=2gL

but acceleration=v^2/r=2g