Celtie A.

asked • 07/06/23

Pendulums in Physics 11

A student swings on a long rope of length L=5m. The student starts by pulling back at an angle of 𝜃𝜃 = 30º as shown below.


a. Determine the initial height of the student by solving the highlighted right triangle shown below. (hint: the length of the rope is ALWAYS 5m, i.e. y+h = 5m)


b. Use your answer from (a) combined with conservation of energy to determine the speed at the bottom.

Celtie A.

https://www.wired.com/wp-content/uploads/2015/01/sketches_fall_14_key6.jpg
Report

07/06/23

Douglas B.

This is a CLASSIC "Conservation of Energy" problem. Since we don't have the problem diagram, we have to just use the KE + PE = constant, concept. a. unanswerable without the diagram b. Using PEmax(top of swing where v=0m/s) = KEmax(at bottom of swing) So, "mgh = 1/2mv^2" and solving for v = sqrt"2gh" where h=5m, g =9.81m/s/s, So, v = sqrt"(2)(9.81m/s/s)(5m) = 9.81m/s
Report

07/15/23

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