Yahoo Answers: Answers and Comments for If resultant force is directly proportional to rate of change of momentum what is constant (k)? [Physics]
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From IceBreaker
enUS
Tue, 11 Sep 2012 10:48:17 +0000
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Yahoo Answers: Answers and Comments for If resultant force is directly proportional to rate of change of momentum what is constant (k)? [Physics]
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From JullyWum: k depends on how you define the Newton unit of...
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Tue, 11 Sep 2012 18:19:43 +0000
k depends on how you define the Newton unit of force.
From Newton 2nd law force F ∝ (mv mu)/t
F = km {(vu)/t}
F = kma
By defining the Newton as .. "that (net) force that causes a 1kg mass to accelerate at 1 m/s² " k has the value 1
k = F/ma .. 1N/(1kg x 1m/s²) = 1

From Big Daddy: Any nonzero value of k will yield an equation...
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Tue, 11 Sep 2012 17:59:30 +0000
Any nonzero value of k will yield an equation where F is directly proportional to d(mv)/dt.
F = k d(mv)/dt
F = m k d(v)/dt
F = m k a
k is just a proportionality constant so that the units of force, mass and acceleration can be compared. If you use SI units (newtons, kilograms, meterspersecondsquared), then k is 1.