# Work & Friction: Calculating Magnitude

• pur3geet7
In summary, work is the force applied to an object over a distance and in relation to friction, it is the force required to overcome the resistance of friction and move an object. The magnitude of friction can be calculated by multiplying the coefficient of friction (μ) by the normal force (N) exerted on an object. Factors such as the type and roughness of surfaces, normal force, and presence of lubricants or contaminants can affect the magnitude of friction. When calculating friction on an inclined surface, the angle of incline must be taken into consideration. Some real-life applications of calculating the magnitude of friction include designing machinery, determining the force needed to move objects, and ensuring safety in various industries.
pur3geet7

## Homework Statement

An 18.5 kg block is dragged over a rough,
horizontal surface by a constant force of 129 N
acting at an angle of angle 29.3◦ above the
horizontal. The block is displaced 64.8 m,
and the coefficient of kinetic friction is 0.115. The
acceleration of gravity is 9.8 m/s2 .

How can I figure out the magnitude of the work done by the force of friction!

W = F*D

## The Attempt at a Solution

I attempted to do -129 times the displacement but, its not correct :(

## 1. What is work in relation to friction?

Work is defined as the force applied to an object over a distance. In relation to friction, work is the force required to overcome the resistance of friction and move an object.

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

The magnitude of friction can be calculated by multiplying the coefficient of friction (μ) by the normal force (N) exerted on an object. The formula for calculating friction is F = μN, where F is the magnitude of friction.

## 3. What factors affect the magnitude of friction?

The magnitude of friction is affected by the type of surfaces in contact, the roughness of the surfaces, and the force pressing the surfaces together (normal force). Additionally, the presence of lubricants or contaminants can also affect the magnitude of friction.

## 4. How does the angle of incline affect the calculation of friction?

When calculating the magnitude of friction on an inclined surface, the angle of incline must be taken into consideration. The normal force exerted on the object will be reduced by the component of the force acting against gravity due to the angle of incline. This will result in a lower frictional force.

## 5. What are some real-life applications of calculating the magnitude of friction?

Calculating the magnitude of friction is important in various industries, such as transportation, construction, and manufacturing. It is used to design and improve machinery, determine the amount of force needed to move objects, and ensure the safety of structures and vehicles.

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