How to Calculate a Skier's Speed at the Bottom of a Slope?

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SUMMARY

The discussion focuses on calculating a skier's speed at the bottom of a 20° incline over a distance of 400 meters, factoring in a coefficient of kinetic friction of 0.2. The key insight is that the acceleration can be derived from the gravitational component along the slope, eliminating the need for mass and time in the calculations. Participants emphasize the importance of understanding gravitational forces and friction in this context to arrive at the correct speed calculation.

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  • Understanding of basic physics concepts, specifically gravitational forces.
  • Knowledge of kinematics, particularly acceleration on an incline.
  • Familiarity with friction coefficients and their impact on motion.
  • Ability to apply Newton's laws of motion in practical scenarios.
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  • Study the derivation of acceleration components on inclined planes.
  • Learn how to calculate net forces acting on an object in motion.
  • Explore the effects of different friction coefficients on speed calculations.
  • Review kinematic equations and their application in real-world physics problems.
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of motion on inclines.

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Homework Statement



a skier starts from rest at the top of a 20° incline and skis in a straight line to the bottom of the slope, a distance D of 400 meters. if the coefficient of kinetic friction between the kis and the snow os .2, calculate the skier´s speed at the bottom of the run

Homework Equations


ive tried all the equations that include all the variables but I am always missiing one variable like time, mass or acceleration


The Attempt at a Solution

 
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You actually have the acceleration.It is the component of g along the slope.You don't need the mass and the time(what time?).
 


when u say g you are talking about gravity right?
 

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