# What is the work?

1. Jun 13, 2017

### V1NW3N

1. The problem statement, all variables and given/known data
The pulley system has a mechanical advantage of 3. You want to lift the box weighing 420N 6m above the ground. You pull 18m of rope with 140N of force. What is the work done? (Ignoring the angle)

2. Relevant equations
Work=force*distance

3. The attempt at a solution
I thought that since the box moved 6m, and you put in 140N of force, so 6* 140= 840J of work.

2. Jun 13, 2017

### Staff: Mentor

Welcome to the PF.

The work equals the change in gravitational potential energy. The pulley system does not change that.

The pulley just lets you use less force over a longer distance. Makes sense? What is your revised answer?

3. Jun 13, 2017

### Staff: Mentor

No. The force of 140 N is exerted over a distance of 18 m. (The box moves 6 m, but the force on the box equals its weight, not 140 N.)

4. Jun 13, 2017

### ehild

When asking work, it should be specified "work of what force on what body".
The 140 N force is applied on the rope. The work of that force multiplied by the displacement of the point of attack of the force gives the work of that force.
The mechanical advantage of the pulley system is 3, so the force experienced by the box is 420 N. That should be multiplied by the displacement of the box to get the work done on the box by the 420 N force.
If there is no friction, the pulleys are ideal, then these works are equal.

5. Jun 14, 2017

### V1NW3N

thanks I got it now, the work is 2520N

6. Jun 14, 2017

### ehild

The unit of work is joule (J). N (newton) is force.

7. Jun 14, 2017

### ehild

Well, the force on the box is equal its weight and the tension from the pulley system, in opposite direction. If it does not accelerate, the net force on the box is zero.

8. Jun 14, 2017

### Staff: Mentor

I meant the force that the pulley system exerts on the box, not the net force on the box. That's the force doing the work against gravity on the box, which is what we care about here.

Similarly, it's the force that the person exerts on the rope that matters, not the net force on the rope.