Conservation of Angular Momentum & Energy question

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SUMMARY

The discussion centers on the conservation of angular momentum and energy in the context of a streetcar transitioning from a larger circular track to a smaller one. The relevant formulas include angular velocity (w = v/r) and kinetic energy (KE = 1/2mv²). Participants debate whether the normal force from the track does work on the train during this transition, impacting the conservation of momentum. The consensus leans towards the idea that energy is conserved, but the role of the normal force remains a point of confusion.

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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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