What is the relationship between work and motion?

Answer 1

1) Work input = Force * distance

2) Force = mass*acceleration

3) Acceleration = (Vf - Vi) ÷ time

4) Force = mass * [(Vf - Vi) ÷ time]

5) Distance = Average velocity * time

6) Average velocity = (Vf + Vi) ÷ 2

7) Distance = [(Vf + Vi) ÷ 2] * time

Eq#4 * EQ #7

8) Work input = mass * [(Vf - Vi) ÷ time] * [(Vf + Vi) ÷ 2] * time

Time cancels

9) Work input = mass * (Vf - Vi) * (Vf + Vi) ÷ 2

10)(Vf - Vi) * (Vf + Vi) = Vf^2 - Vi^2

11)Work input = mass * [Vf^2 - Vi^2] ÷ 2

12)Work input = mass *( Vf^2 ÷ 2) - mass * (Vi^2 ÷ 2)

13)Kinetic energy = ½ mass *velocity ^2

14) Change in KE = (½ mass * Vf ^2) - (½ mass * Vi ^2)

Equation #12 = Equation #14 so

15)Work input = Change in KE

16)Work input = ∆ KE

Answer 2

For work to take place, there must be motion.