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 x 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 1.33 × 107 m/s directly toward the nucleus, as in the figure below. How close does the alpha particle get to th gold nucleus before turning around? Assume the gold nucleus remains stationary. 79e 2e v = 0 8.24e-8 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m Need Help? Watch It

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 x 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 1.33 × 107 m/s directly toward the nucleus, as in the figure below. How close does the alpha particle get to th gold nucleus before turning around? Assume the gold nucleus remains stationary. 79e 2e v = 0 8.24e-8 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m Need Help? Watch It

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two neutral, square, thin copper plates (15 cm per side) are situated parallel to each other and located 6 mm apart. A 9V battery is connected to the plates, such that the anode is connected to one plate and the cathode to the other plate, and the battery and plates reach a new electrostatic equilibrium. What is the magnitude and direction of the electric field between the two plates? Two neutral, square, thin copper plates (15 cm per side) are situated parallel to each other and located 6 mm apart. A 9V potential difference is applied across the two plates. What is the electric potential at a distance of 2 mm away from the negatively charged plate (define the negative plate to be at zero potential)?
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.
Consider an electron that is 1.10-10 m from an alpha particle with charge 3.2.10-¹⁹ C. (a) What is the electric field due to the alpha particle at the location of the electron? The direction of the electric field by the alpha particle at the electron is Ela ate C (b) What is the electric field due to the electron at the location of the alpha particle? The direction of the electric field by the electron at the location of the alpha particle is #J N C |Ele- at a (c) What is the magnitude of the electric force on the electron? ✔N F = = (d) What is the magnitude of the electric force on the alpha particle? Fa= N (e) Do the two forces obey Newton's Laws?
One form of nuclear radiation, beta decay, occurs when a neutron changes into a proton, an electron and a neutral particle called a neutrino. When this change happens to a neutron within the nucleus of an atom, the proton remains behind in the nucleus while the electron and neutrino are ejected from the nucleus. The ejected electron is called a beta particle. One nucleus that exhibits beta decay is the isotope of hydrogen 3H, called tritium, whose nucleus consists of one proton (making it hydrogen) and two neutrons (giving tritium an atomic mass m = 3u). Tritium is radioactive, and it decays to helium. Suppose an electron is ejected from a 3H atom, which has a radius of 1.000×10-14 m. The resulting 3He atom has the same radius as the 3H atom. What is the escape velocity of the electron ejected from the process? Note: Your answer may be larger than the speed of light which is okay in this scenario. To solve this problem correctly we would need to use special relativity.
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.
Say you have a point charge of one Coulomb and a hydrogen atom some distance away. Within what distance would the difference of forces on the proton and electron from the Coulomb charge exceed the attraction between the proton and electron that holds the hydrogen atom together. Treat the hydrogen atom as a proton and electron 0.53 × 10−10 m (a.k.a., one Bohr radius) apart.
A proton is fired from far away towards the nucleus of a mercury atom. Mercury is element number 80, and the diameter of the nucleus is 14.0 fm. If the proton is fired at a speed of 13600000 m/s, what is its closest approach to the surface of the nucleus (in fm)? Assume that the nucleus remains at rest.
A uniform electric field is created by two horizontal parallel plate electrodes of length 10 cm separated by a vertical distance d = 5 cm and held at a potential difference V = 250V. A beam of electrons is introduced between the two plates with a horizontal velocity v = 5 x 106 m/s. What is the deflection distance towards the positive plate when the electron beam leaves the electric field?
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.
A hydrogen atom when in its lowest energy state consists of a proton nucleus of charge +e (remember that +e = 1.6 x 10-19 C) and an electron of charge -e and mass of 9.1 x 10-31 kg. In the Bohr model of the atom, the electron moves around the nucleus in an approximately circular orbit with a radius of 0.52 x 10-10 m. The speed of the electron when in this lowest energy orbit is approximately 2.3 x 106 m/s. Imagine that we want to ionize this atom (that is free up the electron from its nucleus) by launching ANOTHER electron at the atom to break it apart. If we were to launch this electron from very far away from the atom, then how fast must it be launched in order to break apart the atom, so that all three particles (the proton and two electrons) end up at rest, very far apart?