Question

STATE AND PROVE WORK ENERGY THEOREM ANALYTICALLY

Answer 1

The work done by all forces on a particle is equal to change in kinetic energy I.e W= kf-ki - work energy theorem W= FS=mas = m(v^2-u^2)/2s = 1/2mv^2-1/2mu^2 =kf-ki hense proved

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