Calculating Slide Distance on an Inclined Surface with Friction

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To determine how far a skier will slide down a 4.7-degree slope with an initial speed of 2.7 m/s and a coefficient of friction of 0.11, it's essential to calculate the gravitational force component acting downhill and the retarding force due to friction. The mass of the skier is not needed, as it cancels out in the equations. By applying the net force equation and the relationship between initial velocity, acceleration, and distance, the rate of deceleration can be found. The formula v² = 2a * d can then be used to calculate the sliding distance before coming to rest. Understanding these principles allows for solving the problem effectively.
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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.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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