An electrostatic paint sprayer has a 0.300 m diameter metal sphere at a potentia

Question

An electrostatic paint sprayer has a 0.300 m diameter metal sphere at a potential of 29.0 kV.

Paint droplets initially at rest are dispensed from a paint gun. These droplets are then repelled by the paint sprayer toward the object to be painted. This object is grounded and therefore the electric potential is taken to be zero everywhere on the object. What charge must a 0.400 mg drop of paint have to arrive at the grounded object with a speed of 16.0 m/s?

I took [(4.00e-7)(16)^2]/[2(2.9e4)] and got 2.0e-9 but apparently that's not right... So I don't know what to do... I thought the equation was m*v^2/2V. What am I doing wrong? Thanks!

Explanation / Answer

speed = mv2 / 2V

= 0.4 X 10 -3 X 16 X 16/ 2 X 29 X 10 3

= 102.4/ 58 X 10 -6

= 1.76 X 10 -6 m/s

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