Elastic Sport
Posted August 27, 2010
By admin
I Need Help with a Physics Problem?
If anyone can help me out with this I would really appreciate it. I can not come up with the right answer that's in the book.
In the dangerous "sport" of bungee jumping, a daring student jumps from a hot-air balloon with a specially designed elastic cord attached to her waist. The unstretched length of the cord is 25.0 m, the student weighs 700 N, and the balloon is 36.0 m above the surface of a river below.
Calculate the required force constant of the cord if the student is to stop safely 4.00 m above the river.
the kientic energy at 25 is 700*25=17500 joul
now , the required cord should make a strech of no more than 11 meter and store the above energy ,and then stop with 7 m strech.
d*f=energy
f=17500/11=1585N
so the cord should have a constant of no more than 11/1585=0.007m/N ( in order not to reach river)
at 4mete from river :
constant=d/weight=(32-25)/700= 0.01m/N
so the required constant should be 0.007m/N
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