Question

State work energy theorem and expain.draw the graph for total energy

Answer 1

Work Energy principle states that, the change in kinetic energy of an object/body equals to the net work done on that object

Mathematically it can be expressed as

W = ΔK.E = (1/2)m(v₂ -v₁)

Here m= mass

v₂ and v₁ = final and initial velocity of the body.

Work energy principle makes use of the Newton's II nd law of motion, which states that force is the product mass and acceleration.

Mathematically,

F = ma ; a= acceleration

Also we know a = {Final (v2) - Initial velocity (v1)}/time (t)

Also from equation of motion we have,

v² = u² +2as

s = (v²₂ -v₁²)/2a -----(A)  

Now work done W = Force × displacement

W = ma × s

Putting the value of A in the above equation we get,

W = ma× (v²₂ -v₁²)/2a

W = (1/2)m(v²₂ -v₁²) ------(B)

We have Kinetic energy K.E = (1/2) m v²

Hence equation B can written as

W = K.E₂ - K.E₁ = ΔK.E

Answer 2

hope it helps!!!

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