What is the Length of the Ski Slope?

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    Incline Length
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Homework Help Overview

The problem involves a skier transitioning from horizontal motion to descending a 16° incline, with initial and final speeds provided. The objective is to determine the length of the incline based on these parameters.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss using energy conservation principles to relate height and distance on the incline. There are questions about the necessity of the skier's mass for calculating acceleration.

Discussion Status

Some participants have suggested approaches involving energy conservation, while others have noted the need for the original poster to demonstrate more effort in the problem-solving process. There is no explicit consensus on the best method yet.

Contextual Notes

There is a mention of the skier's mass being potentially necessary for calculations, which has not been provided in the problem statement.

mcryder16
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Homework Statement



A skier is gliding along at 3.12 m/s on horizontal, frictionless snow. He suddenly starts down a 16° incline. His speed at the bottom is 17.89 m/s.
What is the length of the incline?


Homework Equations



Not sure how to start this and formula to be used.

The Attempt at a Solution

 
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mcryder16 said:

Homework Statement



A skier is gliding along at 3.12 m/s on horizontal, frictionless snow. He suddenly starts down a 16° incline. His speed at the bottom is 17.89 m/s.
What is the length of the incline?

Homework Equations



Not sure how to start this and formula to be used.

The Attempt at a Solution


See:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2
 
Put the start of the ramp at a height z=h and the end of the ramp at z=0. Now you can use energy conservation to determine the height. Knowing the height and angle of a right-angled triangle allows you to calculate the distance.
 
Cyosis said:
Put the start of the ramp...

The OP needs to show some effort in order to help with solving.
 
I think the mass of the skier should be given to find the acceleration and solve.
 

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