What is the work done by a variable force?

Thus, for a variable force, the work done can be expressed as a definite integral of force over displacement for any system.

What is meant by variable force?

[′ver·ē·ə·bəl ′fȯrs] (mechanics) A force whose direction or magnitude or both change with time.

Why the graph of work done by a variable force is like this?

This graph shows that , when a body moves, then at each and every point different amount of force acts on the body. hence the graph has curved shaped. This is very simple graph, however, a graph can have any shape showing variable force.

How will you find the work done by a variable force explain briefly Class 11?

Answer: Assuming the quantity Δx is small, then the force F(x) acting in that duration can be assumed as a constant force. The area enclosed by the rectangle of length equal to the magnitude of force F(x) and width equal to the displacement Δx, gives the work done by the force during that duration.

When we say work is done against a force we mean the force does?

The work done by the force F1 is done against a force F2 when the forces F1 and F2 are directed in opposite sides one to other. So when we say work is being done against a force, we are simply saying that work is being done on a force in the presence of another force which is directed in the opposite direction.

How do you represent graphically work done by a variable force and by a constant force?

Work is a scalar quantity and has magnitude but no direction. constant angle θ from the straight line path of the particle as shown as Fig., then, The graphical representation of work done by a constant force is shown in Fig. dw = F cos θ.

What is meant by constant and variable work done?

The work done by a constant force of magnitude F on a point that moves a displacement d in the direction of the force is the product: W = Fd. Integration approach can be used both to calculate work done by a variable force and work done by a constant force.

What are the different types of work done?

Positive, Negative and Zero work done

• Positive Work : If a force displaces the object in its direction, then the work done is positive.
• Negative Work : If the force and the displacement are in opposite directions, then the work is said to be negative.

What are the different types of work?

The 5 Types of Work That Fill Your Day

• Reactionary Work.
• Planning Work.
• Procedural Work.
• Insecurity Work.
• Problem-Solving Work.

What do you understand by work done by force or work done against the force .give one example of each?

Here’s an example: You lift a box (at constant speed) a distance h. There are two forces acting on the box: gravity and the force exerted by you. The work done by gravity (as you well know) is -mgh; the work done by you, which you could think of as work done ‘against gravity’ is mgh.

How do you calculate the work done by a variable force?

In the case of a variable force, integration is necessary to calculate the work done. The work done by a constant force of magnitude F, as we know, that displaces an object by Δx can be given asL: W = F.Δx. In the case of a variable force, work is calculated with the help of integration.

When is a force said to perform work on a system?

A force is said to perform work on a system if there is displacement in the system upon application of the force in the direction of the force. In the case of a variable force, integration is necessary to calculate the work done.

What is work done by a force that varies in magnitude?

So far we have defined work done by a Force which is constant in both magnitude and direction. However, work can be done by forces that varies in magnitude and direction during the displacement of the body on which it acts.

Are the forces we encounter everyday mostly variable in nature?

It is interesting to know that the forces we encounter everyday are mostly variable in nature which is defined as a variable force and we rarely encounter a constant force. A force is said to perform work on a system if there is displacement in the system upon application of the force in the direction of the force.