Question

explain work energy theorm

Answer 1

in order for work to be done on an object, a force must act on the object over a given distanceThis relationship is called the work-energy theorem. If you increase an object's kinetic energy by moving it, the amount of work you do is equal to the change in kinetic energy of the object.






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Answer 2

According to the theorm the net workdone displacing .a body is equal to the change in kinetic energy.

Mathemically

W=change in kinetic energy

W=kf _ki

Proof÷ we know

K.E =1/2 mv2

K=1/2 mv2.......1 eq

Differentating

Dk/dt = d/dt mv2

= dk/dt = 1/2 d/dt mv2

Dk/dt = 1/2 m . D/dt v2

Dk/dt =1/2 m ×2 v2-1 ×dv/dt

Dk/dt =1/2 m ×2v×dv/dt

Dk/dt =m dv/dt v

Dk/dt = mva

Dk/dt = f.dx/dt

Dk =fdk

Intigrating both sides