- #1
ForceBoy
- 47
- 6
Kinetic Energy is defined as the product of half the mass of an object multiplied by the square of its velocity. Using this I derived the end formula. Work is as follows:
KE = ½(m⋅v2)
Because v = vi +at, if vi = 0,
KE = ½(m⋅(at)2)
KE = ½(m⋅a2⋅t2)
KE = ½(m⋅a⋅a⋅t2)
Substituting F for m⋅a (force is equal to mass by acceleration),
KE = ½(F⋅a⋅t2)
Displacement is equivalent to vi⋅t +½⋅a⋅t2
It was stated that vi = 0, therefore s = ½⋅a⋅t2
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?
KE = ½(m⋅v2)
Because v = vi +at, if vi = 0,
KE = ½(m⋅(at)2)
KE = ½(m⋅a2⋅t2)
KE = ½(m⋅a⋅a⋅t2)
Substituting F for m⋅a (force is equal to mass by acceleration),
KE = ½(F⋅a⋅t2)
Displacement is equivalent to vi⋅t +½⋅a⋅t2
It was stated that vi = 0, therefore s = ½⋅a⋅t2
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?