# Work Energy Theorem and total work

• spectrum123
In summary, there are three forms of the Work Energy theorem, with the correct form being Total Work = Total Change in Kinetic Energy. However, some writers also use the expression Total Work done (Due to pressure) = Total Change in Mechanical Energy (Potential Energy + Kinetic Energy) when proving Bernoulli's Theorem for fluids, depending on the signs used. Ultimately, the total energy is conserved and the potential energy decreases while the kinetic energy increases as work is done.
spectrum123
Plz tell me
Which is correct form of Work Energy theorem
1. Total Work = Toatl change in Mechanical Energy(Potental + Kinetic)
2. Total Work + Potential Energy = Total Change in Kinetic Energy
3. Total Work = Total Change in Kinetic Energy (Mention in the textbooks)

Actually i am confused when i prove Bernoulli Theorem for fluid.
Some writers use Total Work done(Due to pressure) + Change in Potential Energy = Change in Kinetic Energy

I think the expression is this one

Total Work done(Due to pressure) = Total Change in Mechanical Energy(Potential Energy + Kinetic Energy)

It depends on the signs you use.
Total energy is conserved.

If mechanical energy is conserved , then you have : T1+ V1 = T2+V2
(T: kinetic energy, V: potential energy)
It can be written as T2-T1=V1-V2=>DT=-DV
Thus the potential energy diminishes. The amount of change in the potential energy is the work done, which is finally converted in kinetic energy, thus increasing its value.

## What is the Work Energy Theorem?

The Work Energy Theorem states that the work done by the net force on an object is equal to the change in kinetic energy of the object.

## What is the formula for the Work Energy Theorem?

The formula for the Work Energy Theorem is W = ΔKE = KEf - KEi, where W is the total work done on the object, ΔKE is the change in kinetic energy, KEf is the final kinetic energy, and KEi is the initial kinetic energy.

## How is work and energy related in the Work Energy Theorem?

In the Work Energy Theorem, work and energy are directly related. Work is the measure of the energy transferred to or from an object, and the change in kinetic energy of an object is directly proportional to the work done on it.

## What is the difference between positive and negative work in the Work Energy Theorem?

In the Work Energy Theorem, positive work is done by the force on the object, meaning that the force is acting in the same direction as the displacement of the object. Negative work is done on the object, meaning that the force is acting in the opposite direction of the displacement of the object.

## How is the Work Energy Theorem used in real-world applications?

The Work Energy Theorem is used in various fields such as engineering, physics, and mechanics to analyze and predict the motion of objects. It is also used in designing machines and structures, calculating the efficiency of engines, and understanding the transfer of energy in different systems.

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