Solving Deceleration on an Inclined Road

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SUMMARY

The discussion focuses on calculating the deceleration of a car on an inclined road at 13° uphill, given that it can decelerate at -4.80 m/s² on a level road. The key equations involved include the frictional force equation Ff = μSFN and the net force equation ΣF = ma. Participants express confusion about the role of the force of push (Fp) when the car is decelerating and how to incorporate it into the calculations. The discussion emphasizes the need for clarity on static friction and the forces acting on the car during deceleration on an incline.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with static friction and its coefficient
  • Knowledge of force decomposition on inclined planes
  • Basic algebra for solving equations
NEXT STEPS
  • Study the effects of incline on frictional forces in physics
  • Learn how to decompose forces acting on an object on an incline
  • Explore the concept of net force and its application in deceleration scenarios
  • Review examples of similar problems involving inclined planes and friction
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for examples of inclined plane problems.

iRaid
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Quick PLEASE help :(

Homework Statement


A car can decelerate at -4.80 m/s2 without skidding when coming to rest on a level road. What would its deceleration be if the road were inclined at 13[tex]\circ[/tex] uphill? Assume the same static friction coefficient.

Homework Equations


Ff=[tex]\mu[/tex]SFN

The Attempt at a Solution



Well I can't find anyway to even start can someone head me in the right direction?
 
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I think I got some of it:
[tex]\Sigma[/tex]F=ma
Ff+FN-Fg-Fp=ma
Ff+FN-ma-Fp=ma
+ma both sides and +Fp
Ff+FN=2ma+Fp
[tex]\mu[/tex]sFN+FN=2ma+FpNow I'm wondering if there is actually Fp for the car or not (force of push). Would there still be a pushing force of the car when decelerating?
Stuck there now :\
 

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