Calculating Slide Distance on an Inclined Surface with Friction

  • Thread starter vysis
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In summary, the problem involves a skier on a slope with an initial speed and a coefficient of friction. The task is to determine the distance the skier will slide before coming to a rest. The relevant equations are Fnet=ma and F(f) = (mu)N, and the key to solving the problem is to find the net deceleration and use it in the distance formula v2/2a. The given information does not include the skier's mass, but it is not necessary to solve the problem.
  • #1
vysis
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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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  • #2
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.
 
  • #3
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
 
  • #4
Solved, thanks guys
 
  • #5
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.
 

Related to Calculating Slide Distance on an Inclined Surface with Friction

1. What is an inclined plane?

An inclined plane is a flat surface that is tilted at an angle, which allows objects to be moved from a lower height to a higher height with less force than lifting the object straight up.

2. How does friction affect an object on an inclined plane?

Friction is a force that opposes motion between two surfaces. On an inclined plane, friction can either help or hinder the movement of an object depending on the direction of the force. If the force of friction is parallel to the inclined plane, it can help an object move down the plane. However, if the force of friction is in the opposite direction, it can hinder an object's movement up the plane.

3. How does the angle of incline affect the force needed to move an object?

The steeper the angle of incline, the more force is needed to move an object up the plane. This is because the component of the object's weight acting parallel to the plane increases with a steeper angle, making it harder to overcome with the applied force.

4. Can an object ever slide down an inclined plane without any friction?

No, an object will always experience some form of friction on an inclined plane, even if it is minimal. This is because there will always be some roughness or imperfections on the surface of the plane that will create resistance against the movement of the object.

5. How can the coefficient of friction be calculated for an object on an inclined plane?

The coefficient of friction can be calculated by dividing the force of friction by the normal force. On an inclined plane, the normal force is equal to the weight of the object multiplied by the cosine of the angle of incline. Therefore, the coefficient of friction can be found by dividing the force of friction by the weight of the object multiplied by the cosine of the angle of incline.

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