kinetic energy derivation of kinetic energy. kinetic energy 2 starting equations f = m x a...

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Kinetic energy

Derivation of kinetic energy

Kinetic Energy

2 starting equations F = m x a (Newton’s 2nd law) W = Force x distance

Kinetic Energy

2 starting equations Force = m x a (Newton’s 2nd law) W = Force x distance Together give

Work = (m x a) x distance

W = m x a x d

Work is MAD

Av Speed (velocity) is distance

time

Work is MAD

Av Speed (velocity) is distance

time

Distance = Average velocity x time

Work is MAD

Av Speed (velocity) is distance

time

Distance = Average velocity x time

Distance = v + u x t

2

Distance

Distance = v + u x t

2

D = ½ x v + u x t

Starting velocity is zero

D = ½ x v x t

Time

Final velocity = acceleration x time

Time = final velocity

acceleration

t = v

a

Going back a step…..

D = ½ x v x t

D = ½ x v x v

a

D = ½ x v2

a

Put into previous statements

W = m x a x d

W = m x a x ½ x v2

a

W = m x ½ x v2

W = ½ x m x v2

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