Finding speed of roller coaster at different points

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Homework Help Overview

The discussion revolves around determining the speed of a roller coaster at different points using principles of energy conservation, specifically kinetic and potential energy. The original poster expresses uncertainty due to the lack of mass and acceleration information.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between potential and kinetic energy at various points of the roller coaster. Questions arise regarding the assumptions made about energy conservation and the implications of height differences on speed calculations.

Discussion Status

Some participants have offered guidance on setting up energy equations, while others are questioning the interpretations of kinetic and potential energy at different heights. There is an ongoing exploration of how to apply the concepts to find speeds at specific points.

Contextual Notes

There is a noted lack of specific numerical values for mass and acceleration, which may affect the ability to calculate speeds directly. Participants are also discussing the implications of frictionless conditions on energy conservation.

joe426
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Homework Statement



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Homework Equations



KE= 1/2 m v2
PE = mgy

The Attempt at a Solution



I'm not sure how to start this because there is no given mass. If I use a kinematics equation I don't have an acceleration.
 
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At point 1, the roller coaster only has potential energy (no kinetic energy because velocity is 0). At point 2, it will have lost all of its potential energy - the potential energy will have been converted into kinetic energy. Since no energy is being lost due to friction, PE1 must be equal to K2. Given that, can you figure the rest out? (Hint: set up the equation PE1=K2)
 
v = sqrt (2gy)
v = sqrt (2 * 9.8m/ss * 35m) = 26.19 m/s at point 2

But K2 doesn't equal P2 because K2 equaled P1 at a height of 35m, not 28m, right?
 
But K2 doesn't equal P2 because K2 equaled P1 at a height of 35m, not 28m, right?

I don't know if I understand this question. Did you mean to say "But K2 doesn't equal P3 because K2..."? If you were asking about how to solve for velocity at P3, do you think you could use a similar strategy that you did for point P2? It may help if I point out that you are indirectly given the difference in height between P1 and P3.
 

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