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Kinetic energy
Derivation of kinetic energy
![Page 2: Kinetic energy Derivation of kinetic energy. Kinetic Energy 2 starting equations F = m x a (Newton’s 2 nd law) W = Force x distance](https://reader035.vdocuments.mx/reader035/viewer/2022081700/56649e8a5503460f94b8f6dd/html5/thumbnails/2.jpg)
Kinetic Energy
2 starting equations F = m x a (Newton’s 2nd law) W = Force x distance
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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
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Work is MAD
Av Speed (velocity) is distance
time
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Work is MAD
Av Speed (velocity) is distance
time
Distance = Average velocity x time
![Page 6: Kinetic energy Derivation of kinetic energy. Kinetic Energy 2 starting equations F = m x a (Newton’s 2 nd law) W = Force x distance](https://reader035.vdocuments.mx/reader035/viewer/2022081700/56649e8a5503460f94b8f6dd/html5/thumbnails/6.jpg)
Work is MAD
Av Speed (velocity) is distance
time
Distance = Average velocity x time
Distance = v + u x t
2
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Distance
Distance = v + u x t
2
D = ½ x v + u x t
Starting velocity is zero
D = ½ x v x t
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Time
Final velocity = acceleration x time
Time = final velocity
acceleration
t = v
a
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Going back a step…..
D = ½ x v x t
D = ½ x v x v
a
D = ½ x v2
a
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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