- #1
rebeka
- 44
- 0
time as a function of distance? electrostatic force
C = coulombs, Ke = electrostatic constant, d = distance, m = mass of electrons, v = velocity, c = a constant
F(d) = (KeC^2)/d
E(d) = (KeC^2) * integral (1/d) dd
= KeC^2(lnd2 - lnd1)
E = 1/2 mv^2
v = sqrt(2E/m)
= sqrt((2KeC^2(lnd2 - lnd1))/m)
d = vt
t = d/v
t(d) = (1/sqrt((KeC^2)/m)) * integral (1/sqrt(lnd - c)) dd
= ? what is that integral(antiderivative) does it even matter ?
C = coulombs, Ke = electrostatic constant, d = distance, m = mass of electrons, v = velocity, c = a constant
F(d) = (KeC^2)/d
E(d) = (KeC^2) * integral (1/d) dd
= KeC^2(lnd2 - lnd1)
E = 1/2 mv^2
v = sqrt(2E/m)
= sqrt((2KeC^2(lnd2 - lnd1))/m)
d = vt
t = d/v
t(d) = (1/sqrt((KeC^2)/m)) * integral (1/sqrt(lnd - c)) dd
= ? what is that integral(antiderivative) does it even matter ?