Question

State the work energy theorem. prove it for a constant force.

Answer 1

State and prove work energy theorem. Answer: Work energy theorem states that the change in kinetic energy of an object is equal to the net work done on it by the net force. Hence, work done on a body by a force is equal to the change in its kinetic energy

Answer 2

Answer:

Explanation:

According to this theorm the change in kinetic energy of an object is equal to the work done by the object

⚽➡️U ----------------→ ⚽➡️V

after time (T)

|←---------Distance (d)---→|

V² = U² + 2as ( s =Distance)

V² = U² + 2ad ---( eq 1 )

Multiply eq (1) with 'm' on both side

mv² = mu² + 2 m*ad

mv² - mu² = 2m*ad

mv² - mu² = 2 F*d ( m*a = force )

½mv² +½ mu² = F*d

Kinetic energy final - Kinetic energy initial = Work (W)

W =∆K energy