1.) Based on the location of the vine, which is right over the middle of the rav

Question

1.) Based on the location of the vine, which is right over the middle of the ravine, how wide is the ravine in terms of L?

2.) What she decides to do is tie a rock to the end of the vine and release it like it's a pendulum. She decides she is going to time the swing to determine the period of the pendulum and from that she could figure out the length of the vine. She counts 10 swings in 48.17 s. How long is the ravine?

3.) Kelly has determined the width of ravine and decides to swing across without a running start, however, she forgot one thing, centripetal force. It might support her weight but the vine might not be strong enough to support the swing. What Kelly doesnt know is the vine can only support a tension force of 480 N before it breaks. Will she make it to the other side or fall into the ravine? Prove your answer by finding the maximum tension in the vine.

Explanation / Answer

1) y=L*sin(10o)

2) (48.17/5)2=4*pi2*l/gl=9.6342*9.8/(4*pi2)=23.04 m

3) 480 N/9.8=48.98 kg: if she weights less than or equal to 48.98 kg and starts at 10o, she will make it across the ravine

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