Conservation of Angular Momentum & Energy question

AI Thread Summary
A streetcar coasting around a circular track experiences changes in speed when switching from a larger to a smaller circle. The discussion revolves around whether the speed of the streetcar increases, decreases, or remains unchanged during this transition. Key concepts include the relationship between angular momentum, energy conservation, and the work done by the normal force from the track. Participants express confusion about the role of the normal force and its direction relative to the train's velocity. The consensus suggests that understanding the work done by the normal force is crucial to solving the problem correctly.
15ongm
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Question:
A streetcar is freely coasting (no friction) around a large circular track. It is then switched to a small circular track. When coasting on the smaller circle its speed is:

a) greater
b) less
c) unchanged

Relevant
Formulas:

w = v/r
KE = 1/2mv2

My teacher said the normal force from the track on the train doing work as the train switches from the larger to the smaller circle and something about how the conservation of momentum is not valid in this situation. And when I looked this question up online, they saw that energy is conserved. However, I'm still confused on how to solve this problem and what the answer is (I think it's unchanged?).
 
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15ongm said:
My teacher said the normal force from the track on the train doing work as the train switches from the larger to the smaller circle
Does the force from the track do work on the train? That's key.
 
Doc Al said:
Does the force from the track do work on the train? That's key.
I think so? I remember my teacher saying something how the normal force does work on the train but I'm confused as to how it does.
 
15ongm said:
I think so? I remember my teacher saying something how the normal force does work on the train but I'm confused as to how it does.
You are right to question it. What direction will the force from the rails be in, in relation to the direction of the train's velocity?
 
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