Arope is lying on the floor and has a mass which applies a force of 3 n/m. how much work is required to raise one end of the rope to a height of 2 meters?

The work required to raise one end of the rope to a height of 2 meters with an applied force of 3 N is 6 joules.

We can calculate the work required to raise one end of the rope to a height of 2 meters as follows:

Where:

F: is the force exerted = 3 N (newton: unit of force)

d: is the displacement = 2 m

θ: is the angle between the applied force and the displacement

Since the force and the displacement are in the same direction, θ = 0, so:

Hence, the work done is:

Therefore, it is required 6 J of work.

You can see another example of work calculation here: link

I hope it helps you!

At least 6 N, assuming that the rope has a length of more than 2 meters.

Explanation:

In general, if it takes a force of newtons to lift an object at height , the work done lifting the object from to can be found using the definite integral about :

.

If the value of is a constant regardless of height , then the result of the integral would be

.

However, in this case the value of does depend on the value of .

In other words, where is in Newtons and is in meters.

Evaluate the integral:

.