What is the direction and magnitude of the frictional force?

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Homework Help Overview

The discussion revolves around a physics problem involving a car moving down a slope with a specific grade and constant speed. The participants are examining the frictional force acting on the car, its direction, and magnitude, while considering the effects of gravitational forces and the absence of a coefficient of friction.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between friction and motion, questioning the need for the coefficient of friction to solve the problem. Some suggest drawing a free body diagram and applying Newton's Second Law to analyze forces. Others raise questions about the role of constant velocity in determining net forces and the implications for friction.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem. Some have proposed steps to approach the solution, while others are clarifying concepts related to friction and gravitational forces. There is no explicit consensus on the final solution, but guidance has been offered regarding the analysis of forces.

Contextual Notes

Participants note the absence of the coefficient of friction and discuss its implications for solving the problem. The constant speed of the car is also a focal point in understanding the forces at play.

jimmyboykun
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Homework Statement


A 2,200-kg car is moving down a road with a slope (grade) of 14% at a constant speed of 11 m/s.

Homework Equations


The equation that I'm using is ƩF=ma and friction=μN


The Attempt at a Solution


the mass is 2200kg
the acceleration is zero because of the constant speed.
I really cannot think of anyway to solve this solution.
 
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The frictional force always opposes the motion, it "eats up" the total energy in the system. To do any calculations with the frictional force we need at least the coefficient of friction μ.
 
And that the problem, mu is not given. Do I have to find mu in order to move on?
 
Well for this problem you do not need to find mu. Here are some steps to get you started:

1. Draw a free body diagram on the car.
2. Utilize Newtons Second Law in the x and y directions respectively
3. Algebraic Wizardry, manipulate the equations until you can find the frictional force using values you already know.
 
ok, but what about the 11m/s, does that velocity come into play?
 
jimmyboykun said:
ok, but what about the 11m/s, does that velocity come into play?

your question mentions that velocity is constant, and when velocity is constant the net force is always zero. so, here friction is equal to the component of gravitational force along the slope.

P.S. - like Legaldose already mentioned drawing free body diagram always clears out doubt.
 
ok so I solved the problem, and this is what I did: m*g*sin(7.96) the 7.96 is the reverse tangent.

so 2,200kg*9.81m/s^2*sin(7.96)= 2,989N

would that be considered my magnitude and direction?
 
jimmyboykun said:
ok so I solved the problem, and this is what I did: m*g*sin(7.96) the 7.96 is the reverse tangent.
Not a big deal, but arctan(.14) ~= 7.97.
 
thanks, but what about the solution that I solved 2,989N is that solution the magnitude and direction, or if there is there still more?
 
  • #10
Legaldose said:
The frictional force always opposes the motion,
That formulation can confuse people when thinking about e.g. a car being driven up a slope. It leads them to think that the friction between road and tyre would act down the slope. Better always to write that friction opposes relative motion of the surfaces in contact.
 
  • #11
jimmyboykun said:
thanks, but what about the solution that I solved 2,989N is that solution the magnitude and direction, or if there is there still more?

it's the magnitude you have calculated. For direction refer to haruspex's post above.
 

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