A train car of mass mị rolls down a hill, starting from rest from a height h; above the valley floor. At the bottom of the valley, car m1 bumps into a second car of mass m2 that has been standing there. The two cars lock to each other and jointly start climbing up the hill on the other side of valley, until they momentarily come to rest at a height hf above the valley floor. Assuming you can neglect friction, what is the ratio between m2 and m1 if hf = h;/9? Check: For hf = hi/16 you should find m2 = 3m1. Hint: Analyze this problem in three stages. The middle (second) stage will be the collision of the two train cars; from right before to right after they collide.

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Chapter1: Units, Trigonometry. And Vectors
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5.2 A train car of mass mị rolls down a hill, starting from rest from a height h; above the valley floor. At
the bottom of the valley, car mị bumps into a second car of mass m2 that has been standing there.
The two cars lock to each other and jointly start climbing up the hill on the other side of valley, until
they momentarily come to rest at a height hf above the valley floor. Assuming you can neglect friction,
what is the ratio between m2 and mị if hf = hi/9?
Check: For hf
Hint: Analyze this problem in three stages. The middle (second) stage will be the collision of the two train cars;
from right before to right after they collide.
= hi/16 you should find m2 = 3m1.
Transcribed Image Text:5.2 A train car of mass mị rolls down a hill, starting from rest from a height h; above the valley floor. At the bottom of the valley, car mị bumps into a second car of mass m2 that has been standing there. The two cars lock to each other and jointly start climbing up the hill on the other side of valley, until they momentarily come to rest at a height hf above the valley floor. Assuming you can neglect friction, what is the ratio between m2 and mị if hf = hi/9? Check: For hf Hint: Analyze this problem in three stages. The middle (second) stage will be the collision of the two train cars; from right before to right after they collide. = hi/16 you should find m2 = 3m1.
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