# Mass & Work: Exploring the Relationship

• n124122
In summary, the amount of work done in a situation depends on the force and displacement, not the mass. An increase in mass may result in a decrease in acceleration, but as long as the force and displacement remain the same, the work done will also remain the same.

## Homework Statement

Is the amount of work depending on the mass?

W=F*s
F=m*a

## The Attempt at a Solution

attempt one:
because if you have a higher mass, it takes longer to make a certain object move over a certain distance, but it doesn't matter because time isn't measured. For example move a 4kg block over 3 meters with 6 Newton or move a 20 kg block over 3 meters with 6 Newtons, the work remains the same (3*6=18J).
Attempt two:
But when the mass is increased, in the formula F=m*a, the force is increased. So the work in the situation above should be increased? thereby making the work (20/4=5) 5 times bigger. What am i doing wrong?

n124122 said:
attempt one:
because if you have a higher mass, it takes longer to make a certain object move over a certain distance, but it doesn't matter because time isn't measured. For example move a 4kg block over 3 meters with 6 Newton or move a 20 kg block over 3 meters with 6 Newtons, the work remains the same (3*6=18J).
Good. As long as the force and the displacement are the same, the work done will be the same.

n124122 said:
Attempt two:
But when the mass is increased, in the formula F=m*a, the force is increased. So the work in the situation above should be increased? thereby making the work (20/4=5) 5 times bigger. What am i doing wrong?
In the above, the applied force is kept the same. So when the mass is increased, the acceleration is decreased. But so what?

Doc Al said:
Good. As long as the force and the displacement are the same, the work done will be the same.In the above, the applied force is kept the same. So when the mass is increased, the acceleration is decreased. But so what?

thank you very much

## 1. What is the concept of mass and work?

Mass is a measure of the amount of matter in an object, while work is the transfer of energy that results in a change in the object's motion.

## 2. How are mass and work related?

The relationship between mass and work is described by Newton's Second Law of Motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. This means that the more mass an object has, the more work is required to change its motion.

## 3. What is the unit of measurement for mass and work?

Mass is typically measured in kilograms (kg), while work is measured in joules (J).

## 4. Can mass and work be converted into each other?

No, mass and work are two distinct quantities and cannot be converted into each other. However, they are closely related through the laws of physics.

## 5. What are some real-life examples of the relationship between mass and work?

Some examples include pushing a heavy object, lifting weights, or driving a car. In all of these scenarios, the amount of work required is directly related to the mass of the object being moved.