Need help finding μ in Frictional Force equation

In summary, a 25 kg crate on a ramp inclined at 30 degrees from the horizontal is pulled up the ramp with a constant speed by an applied force of 35 N over a distance of 15 m. The work done on the crate by the frictional force is the only missing value in a list of five total works done, including those by the applied, normal, and gravitational forces, as well as the total work done on the crate. The normal force was found to be 437.5J through calculations involving the mass of the crate and the applied force.
  • #1
Ckalwick
3
0

Homework Statement


A crate with a mass of 25 kg is on a ramp that is inclined at an angle of 30o from the horizontal. An applied force of 35 N directed parallel to the ramp is used to pull the crate with a constant speed up the ramp a distance of 15 m. What is the work done on the crate by the frictional force?


Homework Equations





The Attempt at a Solution

 
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  • #2
What have you tried so far?
 
  • #3
Ffrict = µ • Fnorm-
Fnorm= 537.5J
Ffrict=(?)•537.5J
 
  • #4
How did you get to that normal force?And what can you say about the forces acting on the block?You shouldn't have to find µ to answer this question.
 
  • #5
The question was asking for multiple answers which include;
1. What is the work done on the crate by the applied force?
2. What is the work done on the crate by the normal force?
3. What is the work done on the crate by the gravitational force?
4. What is the work done on the crate by the frictional force?
5. What is the total work done on the crate?

I found everything else except frictional force.

F=FxD=25x35sin(30)=437.5
so, Normal Force=437.5J
 

1) What is the frictional force equation?

The frictional force equation is a mathematical representation of the force that opposes motion between two surfaces in contact. It is given by the formula F = μN, where F is the frictional force, μ is the coefficient of friction, and N is the normal force.

2) Why is it important to find μ in the frictional force equation?

The coefficient of friction, μ, is a measure of how difficult it is to slide one surface over another. It is an important parameter in determining the amount of frictional force present in a system, which can affect the efficiency and stability of machines, as well as the safety of objects in motion.

3) Where can I find μ for different surfaces?

The coefficient of friction, μ, varies for different combinations of materials and surface conditions. It can be found in tables or databases specific to your particular materials or experiment. It is also possible to measure μ experimentally by conducting frictional force experiments.

4) How do I calculate μ from experimental data?

To calculate μ from experimental data, you will need to measure the normal force and frictional force between two surfaces and plug those values into the equation F = μN. Then, rearrange the equation to solve for μ. It is important to note that μ may vary depending on the conditions and materials used, so multiple trials may be necessary for accurate results.

5) What factors affect the value of μ in the frictional force equation?

The coefficient of friction, μ, can be affected by various factors such as the nature and texture of the surfaces in contact, the presence of lubricants or contaminants, the temperature and humidity of the environment, and the magnitude of the normal force. It is important to consider these factors when determining the value of μ for a specific system.

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