# Finding Net Force with the Coefficient of Friction

• triamanda
In summary, the normal force on a 51kg child going down a 42 degree slide is 379 N. The net force on the child is 38 N, calculated using the equation Fk = μFn. The child will slide for an unknown distance before reaching a speed of 2.5 m/s.
triamanda

## Homework Statement

A 51kg child goes down a 42 degree slide. What is the normal force on him? If the coefficient of friction is .10, what is the net force on him? How far down does he slide before reaching 2.5 m/s?

Fk = μFn
F = ma

## The Attempt at a Solution

Fn = 51gcos(42)
= 379 N

I have no idea what to do to find the net force.

the component of the child's weights acts down the plane. Friction acts up the plane.

Also for a normal force N, the frictional force is given by μN.

Can you find the resultant force now?

I believe so:
.10(379) = 38 N

Thanks!

## 1. What is the coefficient of friction?

The coefficient of friction is a quantity that describes the amount of friction between two surfaces in contact. It is represented by the symbol µ and is a dimensionless value that ranges from 0 to 1.

## 2. How is the coefficient of friction related to net force?

The coefficient of friction is directly related to the net force acting on an object. It is used to calculate the force of friction, which is equal to the coefficient of friction multiplied by the normal force (the force exerted by a surface on an object in contact with it).

## 3. How do you find net force using the coefficient of friction?

To find net force using the coefficient of friction, you need to first calculate the force of friction using the formula Ff = µ * Fn. Then, you can use this value in the equation Fnet = ma, where Fnet is the net force, m is the mass of the object, and a is the acceleration.

## 4. What factors affect the coefficient of friction?

The coefficient of friction can be affected by several factors, including the type of surfaces in contact, the roughness of the surfaces, the weight or mass of the object, and the presence of any lubricants or contaminants on the surfaces.

## 5. How can the coefficient of friction be measured?

The coefficient of friction can be measured through experiments using a device called a friction tester or by using mathematical models. It can also be found by consulting tables or graphs that list the coefficient of friction for different materials or surfaces.

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