Acceleration at incline with friction

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SUMMARY

The discussion revolves around calculating the acceleration of a 250 kg block on five different inclines with varying angles and coefficients of friction. The inclines A, B, and C are at 22 degrees with coefficients of 0.3, 0.4, and 0.5 respectively, while inclines D and E are at 10 degrees with coefficients of 0.2 and 0.1. The correct ranking of the accelerations from smallest to largest is B, D, E, A, C, based on the calculations of net forces and frictional effects. The participant initially miscalculated the acceleration for incline B, leading to an incorrect ranking.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of frictional force equations
  • Familiarity with trigonometric functions for incline angles
  • Basic principles of static and kinetic friction
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  • Review calculations involving net forces on inclined planes
  • Study the effects of different coefficients of friction on acceleration
  • Learn about static vs. kinetic friction in practical applications
  • Explore advanced problems involving multiple forces on inclined surfaces
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Homework Statement



A block of mass 250 kg is placed at rest onto 5 different inclines. The angle of incline A is
22o,
B is at 22o,
C is at 22o,
D is at 10o, and
E is at 10o.
The inclines are made of different materials, and have coefficients of friction
mkA = 0.3,
mkB = 0.4,
mkC = 0.5,
mkD = 0.2, and
mkE = 0.1.
For each incline, the static friction is only marginally higher than the kinetic friction.
Rank the magnitude of the acceleration of the block on each incline, from smallest to largest. For ties, list answers alphabetically.


Homework Equations



F=ma
Frictional force equation

The Attempt at a Solution



I tried and got these values: A: .945224m/s^2
B: .036584m/s^2
C: -.872056m/s^2
D: -.228472m/s^2
and E: .73664m/s^2

so I tried C,D,B,E,A but it was wrong :-(
 
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Try B again, it doesn't look like you've calculated it correctly.
 

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