91Ó°ÊÓ

A certain lightning bolt moves \(40.0 \mathrm{C}\) of charge. How many fundamental units of charge \(\left|q_{e}\right|\) is this?

Can the belt of a Van de Graaff accelerator be a conductor? Explain.

Two point charges exert a \(5.00 \mathrm{~N}\) force on each other. What will the force become if the distance between them is increased by a factor of three?

Two point charges are brought closer together, increasing the force between them by a factor of \(25 .\) By what factor was their separation decreased?

Suppose a speck of dust in an electrostatic precipitator has \(1.0000 \times 10^{12}\) protons in it and has a net charge of \(-5.00 \mathrm{nC}\) (a very large charge for a small speck). How many electrons does it have?

Are you relatively safe from lightning inside an automobile? Give two reasons.

Calculate the angular velocity \(\omega\) of an electron orbiting a proton in the hydrogen atom, given the radius of the orbit is \(0.530 \times 10^{-10} \mathrm{~m}\). You may assume that the proton is stationary and the centripetal force is supplied by Coulomb attraction.

Calculate the initial (from rest) acceleration of a proton in a \(5.00 \times 10^{6} \mathrm{~N} / \mathrm{C}\) electric field (such as created by a research Van de Graaff). Explicitly show how you follow the steps in the Problem- Solving Strategy for electrostatics.

An amoeba has \(1.00 \times 10^{16}\) protons and a net charge of \(0.300 \mathrm{pC}\). (a) How many fewer electrons are there than protons? (b) If you paired them up, what fraction of the protons would have no electrons?

How far apart must two point charges of \(75.0 \mathrm{nC}\) (typical of static electricity) be to have a force of \(1.00 \mathrm{~N}\) between them?