Calculating Slide Distance on an Inclined Surface with Friction

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SUMMARY

The discussion focuses on calculating the slide distance of a skier on a slope inclined at 4.7 degrees with an initial speed of 2.7 m/s and a coefficient of friction of 0.11. Participants emphasize the importance of determining the gravitational force component acting down the slope and the retarding force due to friction. The net force equation simplifies the problem, as mass cancels out, allowing the use of the formula v² = 2ad to find the distance before coming to rest.

PREREQUISITES
  • Understanding of Newton's second law (Fnet = ma)
  • Knowledge of frictional forces (F(f) = μN)
  • Familiarity with kinematic equations (v² = 2ad)
  • Basic trigonometry for resolving forces on an incline
NEXT STEPS
  • Study the derivation of net force equations in inclined plane problems
  • Learn about the effects of friction on motion in physics
  • Explore kinematic equations and their applications in real-world scenarios
  • Investigate the role of mass in dynamics and how it can be eliminated from equations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to explain concepts of motion on inclined planes with friction.

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Homework Statement



A skier on a slope inclined at 4.7 degrees from the horizontal starts down the slope with an initial speed of 2.7m/s. The coefficient of friction is 0.11. Determine how far the skier will slide before coming to a rest.

Homework Equations



Fnet=ma
F(f) = (mu)N

The Attempt at a Solution


Completely lost =(
 
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vysis said:

Homework Statement



A skier on a slope inclined at 4.7 degrees from the horizontal starts down the slope with an initial speed of 2.7m/s. The coefficient of friction is 0.11. Determine how far the skier will slide before coming to a rest.

Homework Equations



Fnet=ma
F(f) = (mu)N

The Attempt at a Solution


Completely lost =(

What is the component of gravitational force on the skier that would induce the skier to continue down hill? What is the retarding force?. Using that find the rate of deceleration. That might be a good place to start then.
 
LowlyPion said:
What is the component of gravitational force on the skier that would induce the skier to continue down hill? What is the retarding force?. Using that find the rate of deceleration. That might be a good place to start then.

thats the thing though... it doesn't give you the mass. It ONLY gives you the force of kinetic friction and the initial speed
 
Solved, thanks guys
 
vysis said:
thats the thing though... it doesn't give you the mass. It ONLY gives you the force of kinetic friction and the initial speed

Don't despair. Work things through. The mass may not matter.

When you develop the equation for the net force the mass part drops out to give you the net retarding deceleration.

You use that with the distance relationship that is v2/2a

Edit: Congrats then. Good Luck.
 

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