In Rutherford’s famous scattering experiments that led to the planetary model of the atom, alpha particles (having charges of +2e and masses of 6.64 × 10−27 kg) were fired toward a gold nucleus with charge +79e. An alpha particle, initially very far from the gold nucleus, is fired at 2.00 × 107 m/s directly toward the nucleus, as in Figure P16.23. How close does the alpha particle get to the gold nucleus before turning around? Assume the gold nucleus remains stationary.

If electrons have kinetic energy of 2000 eV, find (a) their speed, (b) the time needed to traverse a distance of 5 cm between plates that our horizontal, and (c) the vertical component of their velocity after passing between the plates if the electric field is 3.33 x 10^3 V/m.

To see why, compute the force of Earth’s gravity on an electron and compare it with the force exerted on the electron by an electric field of magnitude 14000 V/m (a relatively small field). Express your answer to two significant figures and include the appropriate units.

A futuristic gun uses a strong electric field to accelerate small charged bullets to very fast speeds. The specially made bullets have a mass of 0.01kg and a hold charge of 0.1C. If the gun accelerates the bullets over a distance of 0.6m to a speed of vf = 10*m/s, what must be the strength of the electric field inside the gun? Give your answer in scientific notation with 2 or 3 significant digits.

An electron is to be accelerated in a uniform electric field having a strength of 1.90  106 V/m. (a) What energy in keV is given to the electron if it is accelerated through 0.810 m?_________ keV(b) Over what distance would it have to be accelerated to increase its energy by 50.0 GeV (as in the Stanford Linear Accelerator, which is actually smaller than this)? ________km

An alpha particle (charge 2e) is aimed directly at a gold nucleus(charge 79e). What minimum initial kinetic energy must the alphaparticle have to approach within 7.0 * 10-14 m of the center of thegold nucleus before reversing direction? Assume that the gold nucleus,which has about 40 times the mass of an alpha particle, remains at rest.

Two plates separated by a distance d = 15.3 mm are charged to a potential difference V = 7.25 V. A constant force F = 8.31 N pushes a –8.30 mC charge from the positively charged plate to the negatively charged plate. Calculate the change in the kinetic energy AK, potential energy AU, and total energy AE of the charge as it travels from one plate to the other. Assume the initial speed of the charge is 0. AK = AU =

On the diagram shown, I have placed an electron at the origin. The grid spacing is 1 Angstrom per small square. Now place an atomic nucleus with 15 protons on positive x-axis, at x = 6.3 Angstroms. How much work did it take you to bring this nucleus in from 1 m away?   Question 6 options: A 27.4 eV B 34.2 eV C 20.5 eV D 51.3 eV

You are working in a laboratory, using very sensitive measurement equipment. Your supervisor has explained that the equipment is also very sensitive to electrical discharge from human operators. Specification tables for the equipment indicate that an electrical discharge providing even a very small amount of energy of 250 μJ is enough to damage the equipment. Your supervisor wants to install an apparatus that will be used to remove the electrical charge from individuals’ bodies before they touch the equipment. To do this, she asks you to estimate (a) the capacitance of the human body and determine (b) the charge on the body and (c) the electric potential of the body, relative to a point infinitely far away, corresponding to the energy transfer that will damage the equipment.