Hi again. Checking one more to see if I get it.

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Homework Help Overview

The problem involves a train climbing a mountain track that is 500 m long and inclined at an angle of 10 degrees. The objective is to determine the altitude gained by the train.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the length of the track and the angle to find the change in altitude, with references to trigonometric functions. Some express confusion about the relevance of mass and forces in this context.

Discussion Status

There is an ongoing exploration of the problem, with some participants suggesting trigonometric relationships while others express uncertainty about the equations and concepts involved. A potential approach using sine functions has been noted, but no consensus has been reached.

Contextual Notes

Some participants mention confusion regarding the equations to use and the absence of mass in the problem setup, indicating a need for clarification on these points.

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Homework Statement


A train slowly climbs a 500 m mountain track which is at an angle of 10 degrees with respect to the horizontal. How much altitude does it gain?


Homework Equations


Looks a lot like the jogger one except you find change in y instead, right?
Are we missing mass? Do I need mass?
So do I use the -FdSin again?


The Attempt at a Solution


I tried it and came up with a crazy huge answer.
 
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Pinkshell4u said:

Homework Statement


A train slowly climbs a 500 m mountain track which is at an angle of 10 degrees with respect to the horizontal. How much altitude does it gain?
Looks like just a basic trig problem ...the diagonal is 500 m, the angle is 10 degrees, so the height increase is___?___?
 
I appreciate your help Jay but you basically just repeated the question. I'm an old dog trying to learn a new trick here so please bear with me. I am the weakest link when it comes to math. I get confused about what equation to use and why.

If I'm looking for the change in altitude then I would use FDelta Y Cos...right? Thats what my books got anyway. But there's no F and I don't have a mass, so what now?
 
If the question is worded properly, you have a right triangle with a small angle of 10 degrees, and a diagonal of 500 m. From trigonometry, the side opposite the given angle, divided by the hypotenuse, is the sin of the angle. So h/500 = sin 10 degrees. Solve for h.
 
Last edited:
Thank you very much Jay!
 

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