Coefficient of Friction

In summary, a 5kg block moves on a rough horizontal plane with a coefficient of friction of 0.2 and is pushed by a 30N force, traveling a distance of unknown in 3 seconds. A 6kg particle, moving at 8m/s on a smooth horizontal surface, goes onto a rough surface with a coefficient of friction of 0.25 and comes to a stop. The same particle moving at 1m/s and 5m/s up the same slope uses the same force.
  • #1
shinnsohai
41
0

Homework Statement


1.a block of mass 5kg moves on a rough horizontal plane with coefficient of friction (Dynamic) 0.2 under the action of a horizontal force of 30N. If the block starts from rest , find the distance it travels in the first 3 second.

2.a particle of mass 6kg,moving at 8m/s on a smooth horizontal surface, goes onto a rough horizontal surface with a coefficient of friction 0.25> Find the distance it moves across the rough surface before coming to rest.

3.This is my own question.Because I might get the concept of friction force wrongly
It's been in my mind for about 3 days thinking of it

A particle moving up a slope with a maintained speed of 1m/s
In another situation a same particle moving up the same slope with a maintained speed of 5m/s

Do the two particle use the same force?

As the Coefficient,mass,gravity,angle of slope are the same


Homework Equations


F/N =u(Mew)
F=ma
s=ut+1/2 at^2

Anyhow Regarding the equation,
Relating The Momentum and Force
F=ma
F=m x v/t
Ft=mv

So If The Force is 15N and the object moving at a constant velocity last for 3 seconds
Ft=mv
15(3) = MV
It will be 45 kg m/s ??




The Attempt at a Solution


1.
M=5kg
Force=30N
μDynamic = 0.2
μStatic = F/N (Force Used To Overcome the Static Friction)/(Normal Force)
= 30/(30x9.8)
= 0.1020
Initial Velocity=0
Final Velocity = 0
Time=3 seconds
Distance = Unknown

Untill This Step
What Should I Do With the two different coefficient of friction??

2.
Upon This Stage I Do Realize that I'm Getting Stupiddd
 
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  • #2
Static friction is not an issue in this problem. Sum the forces and proceed either by impulse momentum or by Newton's Second Law and velocity-acceleration equation.
 
  • #3
"A particle moving up a slope with a maintained speed of 1m/s
In another situation a same particle moving up the same slope with a maintained speed of 5m/s

Do the two particle use the same force?"

Yes.
 

What is the Coefficient of Friction?

The Coefficient of Friction is a measure of the amount of resistance that exists between two surfaces in contact with each other. It is a dimensionless number that represents the ratio of the force required to keep the two surfaces from sliding over each other to the normal force pressing them together.

How is the Coefficient of Friction determined?

The Coefficient of Friction is determined through experiments involving the two surfaces in question. The force required to move one surface over the other is measured and divided by the normal force, resulting in the Coefficient of Friction. This process is repeated multiple times to get an average value.

What factors affect the Coefficient of Friction?

The Coefficient of Friction is affected by several factors, including the nature of the two surfaces in contact, the roughness of the surfaces, the weight of the objects, and the presence of any lubricants or contaminants.

What are the different types of Coefficient of Friction?

There are two types of Coefficient of Friction: static and kinetic. Static friction is the force required to start an object in motion, while kinetic friction is the force required to keep an object in motion. The values for these two types of friction can be different due to factors such as surface roughness and lubrication.

Why is the Coefficient of Friction important?

The Coefficient of Friction is important in many areas of science and engineering, as it helps predict how surfaces will interact and how much force is needed to move objects. It is also used in designing and testing materials and structures to ensure their safety and functionality. Additionally, the Coefficient of Friction is important in everyday life, as it influences the performance of tires on roads, the grip of shoes on different surfaces, and the ease of movement for various objects.

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