Coefficient of static friction of a sliding block

In summary, the problem involves a block placed on a ramp with an angle of 39.4 degrees and a height of 1.610m. The block has a mass of 8.54kg and the coefficients of kinetic and static friction are 0.111 and 0.173 respectively. The question asks for the speed of the block at the bottom of the ramp if it started from rest at the top. Additionally, the magnitude of the net force on the block halfway down the ramp is also requested. Equations that may be useful for solving this problem include F=ma, f=μkN, and f≤μsN. A free body diagram should also be drawn to aid in solving the problem.
  • #1
jannx3
6
0

Homework Statement



block is placed on a ramp at an angle of 39.4 and height of the ramp is 1.610m and the mass of the block is 8.54kg
if coefficient of kinetic friction is 0.111 and the coefficient of static friction is 0.173 what is the speed of the block at the bottom of the ramp. if it started from the rest at the top of the ramp

magnitude of the net force on the block half way down the ramp


Homework Equations



Dont know how to approach these questions
which equations would be most appropriate?

The Attempt at a Solution


 
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  • #2
jannx3 said:

Homework Statement



block is placed on a ramp at an angle of 39.4 and height of the ramp is 1.610m and the mass of the block is 8.54kg
if coefficient of kinetic friction is 0.111 and the coefficient of static friction is 0.173 what is the speed of the block at the bottom of the ramp. if it started from the rest at the top of the ramp

magnitude of the net force on the block half way down the ramp


Homework Equations



Don't know how to approach these questions
which equations would be most appropriate?

The Attempt at a Solution


What equations do you know?

F = ma .

f = μkN

f ≤ μsN


You really need to show an attempt before we can help you. For one thing. that is a rule for these forums.
 
  • #3
Why don't you start by drawing a free body diagram and posting it?
 

1. What is the coefficient of static friction?

The coefficient of static friction is a dimensionless quantity that measures the amount of force required to overcome the static friction between two surfaces in contact. It is denoted by the symbol "μs" and is dependent on the materials and surface properties of the two surfaces in contact.

2. How is the coefficient of static friction measured?

The coefficient of static friction can be measured experimentally by placing an object on a flat surface and gradually increasing the force applied until the object begins to slide. The coefficient is then calculated by dividing the force required to overcome the friction by the weight of the object.

3. What factors affect the coefficient of static friction?

The coefficient of static friction is affected by the nature of the materials in contact, the roughness of the surfaces, and the amount of force applied. It can also be influenced by temperature and the presence of any lubricants or contaminants on the surfaces.

4. How does the coefficient of static friction differ from the coefficient of kinetic friction?

The coefficient of static friction measures the resistance to motion when an object is at rest, while the coefficient of kinetic friction measures the resistance to motion when an object is already in motion. The coefficient of static friction is generally higher than the coefficient of kinetic friction for the same two surfaces.

5. Can the coefficient of static friction ever be greater than 1?

Yes, the coefficient of static friction can be greater than 1. This indicates a higher resistance to motion between two surfaces and can occur when there is a significant mismatch in the materials or surface properties between the two surfaces in contact.

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