Solving an Inclined Plane Problem: Help for Neil

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SUMMARY

The discussion centers on solving an inclined plane physics problem presented by a high school senior named Neil. The problem involves calculating the acceleration of a block on a 40-degree incline with a frictional force of 10 N acting against it. Neil's initial calculation yielded an acceleration of 12.79 m/s², but he later discovered that this answer is incorrect due to the absence of the coefficient of dynamic friction, which is essential for solving the problem accurately.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of forces acting on inclined planes
  • Familiarity with trigonometric functions (sine and cosine)
  • Concept of friction and its coefficient (µ)
NEXT STEPS
  • Research the role of the coefficient of friction in inclined plane problems
  • Study the derivation of acceleration formulas for objects on inclined planes
  • Learn about static vs. dynamic friction and their implications in physics problems
  • Explore online resources for additional practice problems on inclined planes
USEFUL FOR

This discussion is beneficial for high school physics students, educators teaching AP Physics, and anyone seeking to deepen their understanding of mechanics related to inclined planes and frictional forces.

Neilthe4th
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Hello, My name is Neil I'm a high school senior in AP Physics C, I'm still taking Pre-Calculus (I know my counselors aren't the brightest) and I'm having trouble with this problem.


Homework Statement


Find the acceleration of the block down the plane.

I have a picture with a block on an inclined plane with a force vector of frictional force pointing up and parallel to the plane of 10 N

Also, the degree of incline on the plane is 40 degrees from the horizontal

The mass is not provided.

Homework Equations



F=ma
Fy=0
Fgy+Fn=0
Fgy=Fn

Fgx+Ff=ma

Fgx=FgCosθ
Fgy=FgSinθ

µ=Tanθ

The Attempt at a Solution



I have tried setting Ff equal to Fnµ and using it to plug in FgSinθ so that in the equation

(mgSinθTanθ+mgCosθ)/m=a

the m get's crossed out since it is in all of the terms, with this I got

12.79 m/s2

But since I'm never too sure of myself I researched the problem on line and found this
http://www.education.com/study-help/article/inclined-planes1/

which has all of the solutions for what I'm trying to solve. Which let me know that my answer is erroneous. I'd like to know how to solve it, or what did I miss about the problem?
 
Physics news on Phys.org
I'll go out on a limb & say it's not solvable unless the coefficient of dynamic friction is given.
 
Nah, it's not given.
 

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