Finding acceleration of a block on the way down an incline

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SUMMARY

The discussion focuses on calculating the acceleration of a steel block sliding down a steel incline at a 40-degree angle, using the formula a = g (sinθ - μcosθ). The coefficients of static and kinetic friction are given as μs = 0.6 and μk = 0.3, respectively, with the block's mass being 2.00 kg. A participant initially calculated the acceleration incorrectly as 9.26 m/s², while the correct value is 4.04 m/s², highlighting the importance of ensuring the calculator is set to degrees. The confusion arose from the application of the kinetic friction coefficient in the equation.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with trigonometric functions (sine and cosine)
  • Knowledge of friction coefficients (static and kinetic)
  • Ability to perform calculations in both degrees and radians
NEXT STEPS
  • Review the derivation of the equation a = g (sinθ - μcosθ)
  • Practice problems involving inclined planes and friction
  • Learn about the differences between static and kinetic friction
  • Explore the effects of angle changes on acceleration in inclined planes
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators seeking to clarify concepts related to friction and motion on inclined planes.

Maylandra
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Homework Statement


Find acceleration of block on the way down incline.
The incline is 40 degrees and made of steel. The block is also made of steel.
μs = 0.6
μk = 0.3
mass of block = 2.00 kg

Homework Equations


a = g (sinθ - μcosθ)
a = F/m

The Attempt at a Solution


My friend is getting 4.04 somehow. When I plug the numbers in, using the coefficient of kinetic friction, I get 9.26.
 
Last edited:
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First set your calculator to degrees instead of radians. Where are your equations coming from? Which is correctt and why?
 
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PhanthomJay said:
First set your calculator to degrees instead of radians. Where are your equations coming from? Which is correctt and why?
lol well that's embarassing. Thanks, I would've been working on that for hours. I got it now
 

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