Coefficient of friction (between road and wheels of accelerating truck)

In summary, the coefficient of friction between the road and the wheels of a 1400kg truck accelerating at 2 m/s/s with a force of 4000N applied by the engine is found to be 0.09. This was determined by using Newton's 2nd Law and the equations for friction and weight. Assistance was found on a website for physics homework help.
  • #1
pmp
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0

Homework Statement


What is the coefficient of friction between the road and the wheels of a 1400kg truck accelerating at 2 m/s/s if the force applied by the engine to the wheels is 4000N.


Homework Equations


Fn = m * g
Ff = mu * Fn


The Attempt at a Solution


I do not know how to resolve this as I don't know Ff or mu (i.e. two variables)
Any asisstance (not answer) would be appreciated.
 
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  • #2
First draw a free body diagram.

Then find the resultant force in the horizontal (x) direction.

Newton's 2nd Law states that ∑Fx= ma
 
  • #3
thanks rock.freak667,
I have found the answer it was on a website called http://www.physics247.com/physics-homework-help/friction-and-weight.php" the answer was 0.09 as is shown here:

mu = Ff/Fn
Ff = (ma) - Fengine
mu = ((ma) - Fengine)/-(mg)
mu = ((1400 * 2) - 4000)/-(1400 * 9.81)
mu = (2800 - 4000)/-13734
mu = -1200/-13734
mu = 0.085...
mu = 0.09
 
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  • #4
Once you understand the thinking process, as that will allow you do similar problems or slightly more complex ones.
 

1. What is the coefficient of friction?

The coefficient of friction is a dimensionless number that represents the amount of resistance between two surfaces in contact with each other. It is a measure of how difficult it is to slide one surface over the other.

2. How is the coefficient of friction calculated?

The coefficient of friction is calculated by dividing the force required to move one surface over the other by the weight of the object pressing the surfaces together. It is typically represented by the symbol "µ" and has no units.

3. What factors affect the coefficient of friction?

The coefficient of friction can be affected by a variety of factors, including the types of materials in contact, the roughness of the surfaces, and the amount of force pressing the surfaces together. It can also be influenced by environmental conditions such as temperature and humidity.

4. How does the coefficient of friction affect the acceleration of a truck?

The coefficient of friction plays a crucial role in the acceleration of a truck. A higher coefficient of friction means there is more resistance between the road and the wheels of the truck, which can slow down its acceleration. On the other hand, a lower coefficient of friction allows for smoother and faster acceleration.

5. Why is the coefficient of friction important for truck drivers?

The coefficient of friction is important for truck drivers because it affects the overall performance and safety of their vehicle. A low coefficient of friction can make it challenging to control the truck, especially in wet or icy conditions. Truck drivers must also be aware of the coefficient of friction when carrying heavy loads, as it can impact the braking distance and potential for skidding.

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