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Kokordilos
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Homework Statement
The force exerted by an electric charge at the origin on a charged particle at point (x,y,z) with position vector r = <x,y,z> is F(r) = Kr / |r|^3
where K is a constant. Find the work done as the particle moves along a straight line from (2,0,0) to (2,1,5).
Homework Equations
The Attempt at a Solution
So if it moves from (2,0,0) to (2,1,5) I can parametrize:
x = 2
Y = T
Z = 5T
for 0<t<1
so r(t) = (2, T, 5T)
r'(t) = (0, 1, 5)
But how do I put the force function F(r) = Kr / |r|^3 in terms of these parameters so I can do the integral?