Projectile Motion: Frisbee Sliding up a Sloped Roof

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SUMMARY

The discussion centers on a physics problem involving projectile motion, specifically a Frisbee sliding up a sloped roof at an angle of 30.0°. The Frisbee is thrown with an initial speed of 15.0 m/s and slides 10.0 m up the incline before entering free-fall. The coefficient of kinetic friction is 0.460, and the challenge lies in calculating the maximum height reached above the point of impact without a specified mass. Participants emphasize the importance of applying Newton's second law (F=ma) and understanding the forces acting on the Frisbee to solve the problem.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of kinematic equations for projectile motion
  • Familiarity with free-body diagrams
  • Concept of kinetic friction and its calculation
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Homework Statement


One side of the roof of a building slopes up at 30.0°. A student throws a Frisbee onto the roof. It strikes with a speed of 15.0 m/s and does not bounce, but slides straight up the incline. The coefficient of kinetic friction between the plastic and the roof is 0.460. The Frisbee slides 10.0 m up the roof to its peak, where it goes into free-fall, following a parabolic trajectory with negligible air resistance.

Homework Equations


Determine the maximum height the Frisbee reaches above the point where it struck the roof.

The Attempt at a Solution


honestly... i haven't been able to do much, I try to find the acceleration using F=ma, and then maybe finding the speed when it's at the top, and continue from there; but the problem doesn't have a mass, so i don't have a clue where to start in any type of formula except for the basic kinematic equations, but I'm not even sure how those can be applied.

I've created a free-body diagram of it, but as I said without any mass, and maybe even with it I don't know where to start ( this problem is unlike any other one we've had this chapter.) I assume that when it reaches 10m, it will have Vxf, and then I can use that as Vx0 for a new diagram for parabolic motion... but I don't know how to find A, since the only formulas for A involving force is Fk=Uk/N, and you can't get the normal force without M, because N = mass*Gravity, or since it's on a slant, n=mass*cos(30)
 
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Welcome to PF!

You are definitely on the right track. It's a 2 part problem where the answer the first part is the initial condition to the 2nd part. Just write the F = ma for the object sliding up the incline. You'll see that it is solveable.
 

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