# Coefficient of friction of a block on a spring

• CSwitzer
In summary, the problem is asking to find the coefficient of kinetic friction between a 4.3-kg block and a horizontal surface, given that a 89-N spring has to be stretched by 2.3 cm at a 15 degree angle to pull the block at constant speed. The formula for kinetic friction is Fk = \mukN, but more information is needed to solve the problem. A Free Body Diagram can help in understanding the problem better.
CSwitzer

## Homework Statement

Find the coefficient of kinetic friction between a 4.3- block and the horizontal surface on which it rests if an 89 spring must be stretched by 2.3 to pull the block wi`th constant speed. Assume the spring pulls in a direction 15 above the horizontal.

## Homework Equations

Fk = $$\mu$$kN

## The Attempt at a Solution

I'm completely lost on this one, I don't understand how to find anything with the spring to convert it to a Normal force.

Include some units in your problem statement so that it is clearer.

For almost any physics problem, start with a Free Body Diagram. In this case, draw the FBD of the block and plot all the forces acting on it. This should make it much easier to understand what you need to do next.

## 1. What is the coefficient of friction?

The coefficient of friction is a measure of the amount of resistance that exists between two surfaces when they are in contact with each other. It is a unitless value that ranges from 0 to 1, where 0 indicates no friction and 1 indicates maximum friction.

## 2. How is the coefficient of friction calculated?

The coefficient of friction is calculated by dividing the force required to move an object over a surface by the weight of the object. This can be expressed as μ = F/W, where μ is the coefficient of friction, F is the force applied, and W is the weight of the object.

## 3. What factors can affect the coefficient of friction?

The coefficient of friction can be affected by several factors, including the type of materials in contact, the surface texture, the force applied, the temperature, and the presence of lubricants. Additionally, the coefficient of friction can vary depending on the direction and speed of the motion.

## 4. How does the coefficient of friction affect the motion of a block on a spring?

The coefficient of friction plays a significant role in the motion of a block on a spring. A higher coefficient of friction means that more force is required to move the block, resulting in slower and more controlled motion. On the other hand, a lower coefficient of friction allows for easier movement and potentially faster motion of the block on the spring.

## 5. Can the coefficient of friction change over time?

Yes, the coefficient of friction can change over time. Factors such as wear and tear, temperature changes, and the presence of contaminants can all affect the coefficient of friction. Additionally, the coefficient of friction can also change depending on the amount of force applied and the direction of motion.

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