# Simple Forces question I cannot seem to get

• Element1674
In summary: You could have just used Fg = ma = μFn, and since a = 0, you would have Fg = μFn = 192N. The solution is correct.
Element1674

## Homework Statement

A couch weighing 620N is to be pushed to a new location across the room. The coefficent of static friction between the couch and the floor is 0.31. What is the minimum force required to set the couch into motion.

See below

## The Attempt at a Solution

Given: Fg=620N
μs=0.31
Required: Force applied
Analysis: In order for the couch to begin moving, the applied force must be equal to the force of friction. Therefore finding the force of friction will indirectly find the minimum force applied.
Solution: Find the mass of the couch by using Fg=mg=620N
mg=620N
m=620N/9.81m/s^2
m=63.2...kg (keep all the decimals)

then find Ff using Ff=μFn; since there is no vertical acceleration, Fg=mg. The question gave mg (620N) so...
Ff=(0.31)(620N)
Ff=192N [backwards]
Fa=192N [forwards]

Therefore 192N of force are required.

Is this solution correct?

Element1674 said:

## Homework Statement

A couch weighing 620N is to be pushed to a new location across the room. The coefficent of static friction between the couch and the floor is 0.31. What is the minimum force required to set the couch into motion.

See below

## The Attempt at a Solution

Given: Fg=620N
μs=0.31
Required: Force applied
Analysis: In order for the couch to begin moving, the applied force must be equal to the force of friction. Therefore finding the force of friction will indirectly find the minimum force applied.
Solution: Find the mass of the couch by using Fg=mg=620N
mg=620N
m=620N/9.81m/s^2
m=63.2...kg (keep all the decimals)

then find Ff using Ff=μFn; since there is no vertical acceleration, Fg=mg. The question gave mg (620N) so...
Ff=(0.31)(620N)
Ff=192N [backwards]
Fa=192N [forwards]

Therefore 192N of force are required.

Is this solution correct?

Looks ok to me. But you didn't need to to find m.

## 1. What are simple forces?

Simple forces are the basic, fundamental forces that act on an object. These forces include gravity, friction, and applied force.

## 2. How do simple forces affect motion?

Simple forces can either cause an object to start moving, stop moving, or change its direction or speed. They are responsible for the motion of objects in our daily lives.

## 3. What is the difference between balanced and unbalanced forces?

When the forces acting on an object are equal and opposite, they are considered balanced and the object will remain at rest or continue moving at a constant velocity. Unbalanced forces occur when there is a net force acting on an object, causing it to accelerate in a certain direction.

## 4. How do you calculate the net force on an object?

The net force on an object is calculated by adding up all the individual forces acting on the object. If the forces are in the same direction, they are added together, and if they are in opposite directions, they are subtracted from each other.

## 5. How do simple forces relate to Newton's Laws of Motion?

Newton's First Law states that an object will remain at rest or in motion at a constant velocity unless acted upon by an unbalanced force. Newton's Second Law connects the net force on an object to its mass and acceleration. And Newton's Third Law states that for every action, there is an equal and opposite reaction, which can be seen in simple force interactions.

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