- #1

ForceBoy

- 47

- 6

KE = ½(m⋅v

^{2})

Because v = v

_{i}+at, if v

_{i}= 0,

KE = ½(m⋅(at)

^{2})

KE = ½(m⋅a

^{2}⋅t

^{2})

KE = ½(m⋅a⋅a⋅t

^{2})

Substituting F for m⋅a (force is equal to mass by acceleration),

KE = ½(F⋅a⋅t

^{2})

Displacement is equivalent to v

_{i}⋅t +½⋅a⋅t

^{2}

It was stated that v

_{i}= 0, therefore s = ½⋅a⋅t

^{2}

Making this replacement in the equation yields:

KE = F⋅ s

Where F is a force and s is a displacement. This is also the formula for work. Then, is work the same thing as Kinetic Energy? Can the formula for work be used to calculate Kinetic Energy?