At time t = 0 a particle of charge 'q' and mass 'm' is at a position x = 0 and has a velocity v = 0. The particle is subject to a force F = k x^(1/2) , where 'k' is a constant. Show that at time 't' the particle radiates according to:
-dW/dt = q²k⁴t⁴ / (864)(π)(ε_0 )(c³)(m⁴)
The Attempt at a Solution
I first said F= ma = k x^1/2
--> a = k x^(1/2) / m
---> a² = k² x / m²
Then I substitute this into the larmor formula, but obviously this is wrong. I'm not sure where I went wrong though.