Determine in detail the electric field required to make the sphere move in this way?

Question

**this is not a homework problem, its to help me prepare for an exam, so please be detailed if you can! thanks!

A small aluminum sphere (1 centimeter in radius and mass 20) is placed on an electrically insulating tabletop. A plastic rod is rubbed with wool so the rod becomes negatively charged. The sphere is touched with the rod, adding electrons to it and giving the sphere an electric charge of .0g5.00Cμ−. An electric field is then set up so the sphere accelerates upwards at 213.0ms over a distance of 1.00. m

a.

Draw a free body diagram for the sphere while it is in motion.

b.

Determine in detail (magnitude, direction, shape, etc.) the electric field required to make the sphere move in this particular way.

Answer 1

I'm not going to try to decipher your careless transcribing of quantities and units, so you get principles instead of numbers. (Some might actually think this is better.)

Answer to B.

Figure out the force from F = ma. In this case, since it's upward acceleration against gravity, F = m(a+g).

Figure out the E field from F = EQ.

Since Q is negative E points downward.

The field is uniform throughout the 1 m constant-acceleration distance, such as the field formed between two parallel charged plates. Since the plate separation could be as little as 1 m, the voltage between the plates could be numerically equal to the value of E.