The pendulum swings out an angle T
sin T = 10/17 = .588
so T = 36 degrees
how high?
17 - 17 cos T = 3.25 high
Potential energy at 3.25 = m gh = m(9.8)(3.25) = 31.85 * m Joules
so
(1/2) m v^2 = 31.85 m
v^2 = 63.7
so v is about 8 m/s
A 17mlong vine hangs vertically from a tree on one side of a 10 m wide gorge, as shown in the figure. Tarzan runs up, hoping to grab the vine, swing over the gorge, and drop vertically off the vine to land on the other side.
At what minimum speed must he be running.
I do 17^2+10^2=c^2 and get 19.7
then I subtract 19.7 from 17 and get 2.7 then I use the formula v=sqr(2gh
and for g I use 9.8 and for h I get 2.7
my final answer is 7.7, where did i go wrong?
1 answer
1 answer