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27 March, 12:52

A small sphere with mass 5.00.*10-7kg and charge + 3.00μC is released from rest a distance of 0.400 m above a large horizontal insulating sheet of charge that has uniform surface charge density σ=+8.00pC/m2.

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  1. 27 March, 15:48
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    I will assume you are asking what the initial acceleration of the sphere is since the information provided seems to indicate that.

    First we need to know Newton's Law

    F=ma.

    We know the mass of the sphere and we want a so we solve to get

    a=F/m.

    Now we need the force on the charged sphere. This is given by the electric field, E and the charge, Q. The relationship is F=Q*E. (Recall that the electric field units can be expressed in Newtons/Coulomb).

    Now the electric field above a large (~infinite) sheet of charge with a known charge density σ, is given by

    E = σ / (2ε0)

    Plug in your values of σ, to get E, then the sphere charge Q to get F, the the mass into a = F/m to get the acceleration
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