Coefficient of friction equations:

Thanks.In summary, the conversation discusses a problem involving a 4.40 kg block being pushed along the ceiling with a constant force of 89.0 N at an angle of 66.0 degrees, resulting in an acceleration of 6.80 m/s^2. The acceleration of gravity is also given as 9.81 m/s^2 and the goal is to find the coefficient of kinetic friction between the block and the ceiling. The individual seeking help has a diagram and has attempted to use equations involving the given values, but is unsure how to incorporate the acceleration into the equations.
  • #1
chubbaf
2
0
i need help bad. i have a deadline that i need to complete very soon. please if anyone can help. i know i don't have the right answer:

a 4.40 kg block is pushed along the ceiling with a constant applied force of 89.0 N that acts at an angle of 66.0 degrees with the horizontal. the block accelerates to the right at 6.80 m/s^2. the acceleration of gravity is 9.81 m/s^2. what is the coefficeint of kinetic friction betweeen the block and the ceiling.

m = 4.4 kg
a = 6.80 m/s^2
fp = 89 N @ 66.0 degrees
g - 9.81 m/s^2

HELP
 
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  • #2
This is posted in the wrong forum. Do not double post, this one will be moved.

Well now that you've written all the known values. What can you do make your life easier in terms of getting to the formula? Mayb drawing a diagram and labeling? Mayb the 66 degrees is a give away that your diagram must include a triangle of some sort?
 
  • #3
i have a diagram already. it does indeed form a triangle. i tried every equation i can think of and work out. i used the cos and sin to find the normal force and friction yet i don't know how to use the acceleration within the equations.
 
  • #4
Perhaps you could post the diagram if possible and give us the equations you have so far. Please note that in order to receive further help, you must show your attempt(s) as per the guidelines.
 
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FAQ: Coefficient of friction equations:

What is the coefficient of friction?

The coefficient of friction is a measure of the resistance to motion between two surfaces in contact with each other. It is represented by the symbol "μ" and is a dimensionless quantity.

How is the coefficient of friction calculated?

The coefficient of friction is calculated by dividing the force of friction between two surfaces by the normal force acting between them. This can be expressed as μ = F/N, where μ is the coefficient of friction, F is the force of friction, and N is the normal force.

What factors affect the coefficient of friction?

The coefficient of friction can be affected by various factors such as the nature of the surfaces in contact, the roughness of the surfaces, the temperature, and the presence of lubricants or contaminants.

What is the significance of the coefficient of friction?

The coefficient of friction is an important concept in physics and engineering as it helps in predicting the amount of force needed to overcome the resistance between two surfaces. It also plays a crucial role in determining the efficiency and safety of various mechanical systems.

How does the coefficient of friction relate to Newton's laws of motion?

The coefficient of friction is closely related to Newton's laws of motion, specifically the law of inertia and the law of action and reaction. The coefficient of friction can help explain the forces acting on an object in motion and can be used to calculate the acceleration and deceleration of an object.

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