derive the equation of kinetic energy
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Kinetic energy is a simple concept with a simple equation that is simple to derive. Let's do it twice.
Derivation using algebra alone (and assuming acceleration is constant). Start from the work-energy theorem, then add in Newton's second law of motion.
ΔK = W = FΔs = maΔs
Take the the appropriate equation from kinematics and rearrange it a bit.
Derivation using algebra alone (and assuming acceleration is constant). Start from the work-energy theorem, then add in Newton's second law of motion.
ΔK = W = FΔs = maΔs
Take the the appropriate equation from kinematics and rearrange it a bit.
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Answered by
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work = force × displacement
w = mas
as v^2 - u^2 = 2as
if initial velocity is zero then
v^2 = 2as
a = v^2/2s
so w = m v^2/2s . s
= 1/2. m v^2
is kinetic energy of object moving with velocity v
w = mas
as v^2 - u^2 = 2as
if initial velocity is zero then
v^2 = 2as
a = v^2/2s
so w = m v^2/2s . s
= 1/2. m v^2
is kinetic energy of object moving with velocity v
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