Are these even possible? (Friction Related)

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In summary, the conversation discusses finding the coefficient of friction and maximum acceleration for an object on an inclined plane and a runner using shoes with a certain coefficient of friction. The problem given involves finding the coefficient of friction when one end of the inclined plane is lifted until the object begins to slide at a 35 degree angle. The equations for kinetic and static friction are mentioned, but the person is unsure of how to approach the problem. In the second problem, the coefficient of friction is already given and the person is asked to find the maximum acceleration for a runner using those shoes. They are asked to show their attempts and where they are stuck in order to receive help.
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bassboy
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Homework Statement


An object rests on an inclined plane. One end of the plane is lifted until the object begins to slide. The angle at which the object begins to slide is 35 degrees. What is the Coefficient of Friction

Homework Equations


fk = µkFn
fsmax=µsFn

The Attempt at a Solution


Honestly, I don't even know where to begin on this one. Only one variable is given, in what looks (to me) to be a problem where more than one variable is called for to be solved.
Similarly...

Homework Statement


Nike uses a sole for a line of shoes that has a coefficient of friction, µ=.3. Find the maximum acceleration that a runner using these shoes can have.
 
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  • #2
Welcome to PF!

bassboy said:
An object rests on an inclined plane. One end of the plane is lifted until the object begins to slide. The angle at which the object begins to slide is 35 degrees. What is the Coefficient of Friction

Hi bassboy! Welcome to PF! :smile:

Hint: What is the normal force, Fn, when the angle is 35º? :wink:
Nike uses a sole for a line of shoes that has a coefficient of friction, µ=.3. Find the maximum acceleration that a runner using these shoes can have.

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 
  • #3


Homework Equations
F = µmg
a = F/m

The Attempt at a Solution
To find the maximum acceleration, we need to find the maximum force that can be exerted by the shoes. Using the equation F=µmg, we can solve for the maximum force:
F = (0.3)(m)(g)
Since the mass of the runner (m) is not given, we cannot determine the exact maximum force. However, we can use the maximum value for the acceleration due to gravity (g = 9.8 m/s^2) to get an estimate:
F = (0.3)(m)(9.8)
F = 2.94m
This means that the maximum force the shoes can exert is 2.94 times the mass of the runner. We can then use this value in the equation a=F/m to find the maximum acceleration:
a = 2.94m/m
a = 2.94 m/s^2
Therefore, the maximum acceleration a runner can have while wearing these shoes is 2.94 m/s^2.
 

Q: What is friction and how does it relate to these possibilities?

Friction is a force that opposes the motion of two objects that are in contact with each other. It can be caused by the roughness of the surfaces or the interlocking of microscopic bumps on the surfaces. In regards to these possibilities, friction plays a crucial role in determining whether they are physically possible or not.

Q: Can friction be completely eliminated or reduced?

No, friction cannot be completely eliminated. It is a fundamental force that exists in our universe. However, it can be reduced by using lubricants or smoother surfaces to decrease the roughness and interlocking between objects.

Q: How does the weight and surface area of an object affect friction?

The weight of an object has a direct impact on friction. The heavier the object, the greater the force of friction. The surface area also plays a role in friction. A larger surface area means more contact points between two objects, resulting in more friction.

Q: Can friction be used to our advantage?

Yes, friction can be used to our advantage in many ways. For example, it allows us to walk, drive, and grip objects. It also helps us to control the speed and direction of moving objects. Without friction, many of our daily activities would be impossible.

Q: Are there any real-life examples of friction being a hindrance to possibilities?

Friction can be a hindrance in many real-life situations. For example, it can cause wear and tear on machines, leading to breakdowns and inefficiency. It also makes it difficult for objects to move smoothly, such as in the case of a car stuck in mud. In some cases, friction can even cause fires or explosions due to the heat generated from the rubbing of surfaces.

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