- #1
Fascheue
Homework Statement
A particle of mass m is subject to a force F(x) = kx, with k > 0. The initial position is x0, and the initial speed is zero. Find x(t).
Homework Equations
F(x) = kx
F = ma
The Attempt at a Solution
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F = kx
ma = kx
d^2x/dt^2 = kx/m
dx/dt = (kx^2)/(2m)
x^-2dx = (k/2m)dt
-x^-1 = kt/2m + c
-x^-1 = kt/2m + x0
x(t) = -2m/kt - 1/x0
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