3. This problem refers to the figure below: mmm There are 3 identical bobs of mass m hanging side-by-side. Two are then lifted to a height of h and released. The collisions in this problem are elastic. Answer the following questions: (a) Let's call the initial and final state immediately before and after the collision, respectively. Write down the initial momentum and kinetic energy of the system in terms of m and h. (b) Show that, after the collision, the left and center bobs rise to height h while the right bob becomes stationary. In particular, show that the center bob acts as if it were swinging freely as a lone pendulum.

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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Chapter9: Momentum And Its Conservation
Section: Chapter Questions
Problem 70A
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3. This problem refers to the figure below:
mmm
There are 3 identical bobs of mass m hanging side-by-side. Two are then
lifted to a height of h and released. The collisions in this problem are
elastic. Answer the following questions:
(a) Let's call the initial and final state immediately before and after the
collision, respectively. Write down the initial momentum and kinetic
energy of the system in terms of m and h.
(b) Show that, after the collision, the left and center bobs rise to height
h while the right bob becomes stationary. In particular, show that
the center bob acts as if it were swinging freely as a lone pendulum.
Transcribed Image Text:3. This problem refers to the figure below: mmm There are 3 identical bobs of mass m hanging side-by-side. Two are then lifted to a height of h and released. The collisions in this problem are elastic. Answer the following questions: (a) Let's call the initial and final state immediately before and after the collision, respectively. Write down the initial momentum and kinetic energy of the system in terms of m and h. (b) Show that, after the collision, the left and center bobs rise to height h while the right bob becomes stationary. In particular, show that the center bob acts as if it were swinging freely as a lone pendulum.
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