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

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

Work done by a variable force

  1. The variable force is more commonly encountered than the constant force.
  2. If the displacement Dx is small, we can take the force F (x) as approximately constant and the work done is then. DW =F (x) Dx.

What is the dimensional formula for variable force?

So Dimensional Formula of Force= M1L1T-2 3)Linear Mass Density is defined as measure of mass per unit of length.

What is work done by the force?

Work is done when energy is transferred from one store to another. Work is also done when a force causes an object to move. When work is done against frictional forces acting on an object, the object’s temperature increases.

What is a variable force find work done by a variable force graphical?

The graph. shows the relation between the force and displacement. The work done by the force is: Work done by force =∫F. ds =Area under F.s graph=Area of △

What is Work energy theorem for variable force?

The work-energy theorem states that the work done by the net force acting on a body is equal to the change produced in the kinetic energy of the body. Let F. be the variable force. We have, W=xf∫xiF.

What is the work done formula?

Scientifically Work done formula will be given as, W = F * d: In this case, the force exerting on the block is constant, but the direction of force and direction of displacement influenced by this force is different.

How do you calculate work done?

Work can be calculated with the equation: Work = Force × Distance. The SI unit for work is the joule (J), or Newton • meter (N • m). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m.

What’s the dimension for work done?

The Dimension of Work Done = Unit of work done is Joule. Therefore, the dimension formula of work is represented as [M1 L2 T-2].

What are the dimensions of work done?

Joule
The Dimension of Work Done = Unit of work done is Joule. Therefore, the dimension formula of work is represented as [M1 L2 T-2].