An electron is 0.5 Å away from a carbon nucleus which contains 6 protons. Find the mutual force of attraction between the nucleus and the electron. 1Å (Angstrom)= 10^-10m, e=1.6x10^-19C.
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An electron is 0.5 Å away from a carbon nucleus which contains 6 protons. Find the mutual force of attraction between the nucleus and the electron. 1Å (Angstrom)= 10^-10m, e=1.6x10^-19C.
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- 2 D -e Physical constants (A) (in m) Bohr Model mv² - h = 6.626 x 10-34 Js; Ke² = 2.307 x 10-28 Jm; m = 9.11 x 10-31 kg. The old Bohr model of the hydrogen atom was based on... (1) the assumption that the electron travels on a circle (A) What is the radius of the orbit with n = 5? (B) What is the speed of the orbit with n = 5? Ke² ra and obeys Newton's second law, and (2) the hypothsis that angular momentum is quantized. For the Bohr model, (1) mvr = n (2) 27 OA: 2.774x10-10 OB: 3.468x10-10 OC: 4.334x10-10 OD: 5.418x10-10 DE: 6.773x10-10 OF: 8.466x10-10 OG: 1.058x109 OH: 1.323x10-9 Submit Answer Tries 0/203. Given: Q1 = 50µC at (2,0, – 3)m Q2 = -50µC at (-2,1,3)m Q3 = 30µC at (1,-7,-3)m Q4 = -10µC at (2,0,3)m %3D Find the force on Q4.0.8 04 02 x/Z P2 P1 Using the half-depth rule, determine the z value for the horizontal cylinder in the figure above. Select one: O a. O b. 4 С. 0.2 d. 1.5
- Use the following constants if necessary. Coulomb constant, k of the Charge of one electron, e= symbol carries their usual meaning. For example, µC means micro coulomb. 8.987 x 10° N - m? /C?. Vacuum permitivity, en = 8.854 x 10-12 F/m. Magnitude 9.10938356 x 10 31 kg. Unless specified otherwise, each 1.60217662 x 10 19 C. Mass of one electron, m. Suppose you have 5 point charges q to qs distributed along a semi-circle maintaining equal distance. The charge gs is at the center of the circle. The radius of the semi-circle is R = 28 cm and the magnitude of the charges are as follows : q1 24 uC, 92 29 µC and g 27 µC. c) Find the vector that points from q3 to q6 and call it 3,6. I component of the vector Give your answer to at least three significance digits. III y component of the vector Give your answer to at least three significance digits. d) Calculate the coulomb force on g6 due to q3 in unit vector notation and call it F3,6. I component of the force Give your answer to at least three…A strong lightning bolt transfers about 25 C to Earth. A) How many electrons are transferred? B) If the Earth is struck by an average of 100 lightning bolts each second transferring 25C, how many electrons pour into the Earth from lightning each second?Use the following constants if necessary. Coulomb constant, k of the Charge of one electron, e symbol carries their usual meaning. For example, µC means micro coulomb . -8.987 x 10° N . m? /C?. Vacuum permitivity, eg = 8.854 x 10 12 F/m. Magnitude 9.10938356 x 10 31 kg. Unless specified otherwise, each 1.60217662 x 10-19 C. Mass of one electron, m. R Suppose you have 5 point charges q to gs distributed along a semi-circie maintaining equal distance. The charge gs is at the center of the circle. The radius of the semi-circle is R = 28 cm and the magnitude of the charges are as follows : 9 24 µC, 92 = q4 29 µC and qs = q 27 µC. f) Calculate the coulomb force on go due to qa in unit vector notation and call it F46- z component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. N g) Calculate the Net Electric force on g6 due to all other charges. z component of the force Give your answer to…
- 1. Ernest Rutherford's gold foil experiment led to the discovery of the atomic nucleus. In the experiment, alpha particles were fired at a thin gold foil. Suppose that an alpha particle (charge +2e, mass 6.64 x 10-27 kg) is fired at a gold nucleus (charge +79e) with a kinetic energy of 5.0 MeV. a. Convert the kinetic energy of the alpha particle to joules. b. In order for the alpha particle to be deflected, it must experience an electrostatic repulsion from the gold nucleus that does work to remove it's kinetic energy and change its direction. Determine the distance at which this occurs. (hint- use conservation of energy) C. The radius of a gold atom is 166pm. Does the alpha particle have be "inside" the atom to be deflected?A carbon-14 atom contains a nucleus with 6 protons and 8 neutrons; it would normally be neutral by attracting six electrons, but two electrons are missing. 1. What net charge does this Carbon-14 atom carry? 2. What electric field (direction and magnitude) would you measure while standing distance to the right of that Carbon-14 atom?1. An iron atom has 26 protons, 30 neutrons and 26 electrons. a. What is the total charge of its nucleus? b. What is the total charge of its electrons? c. What is the magnitude of the electric force of attraction between an iron nucleus and its innermost electron id the distance between them is 1.5 x 1012?
- Atoms have an equal number of electrons and protons so are electrically neutral. Atoms that have a net electrical charge are known as "ions". Positive ions - have "missing" electrons Negative ions - have "excess" electrons 3. The net charge of an object can be found be summing the individual charges. Since charge is quantized, all net charges are just an integer multiple of the elementary charge. q-ne where q is the net charge and n is an integer. For example, sodium can be a +1 ion and chlorine can be a -1 ion. What does this mean concerning their charge and structure? Revised 1/20 L2 D Ctlo But, what if you want to look at larger objects that are charged; e.g., objects made up of a huge number of atoms/molecules. How do these objects become charged?14. The electric charge (in Coulombs, C) in a spherical surface leak at a rate proportional to the amount present. The initial charge is 7C and 2/5 of it leaks off in 15 minutes. Which of the following is the particular solution? 14/5 exp(-0.06108604879t) 7 exp(-0.06108604879t) 7 exp(-0.03405504158t) 14/5 exp(-0.03405504158t)1) Consider the figure below. An electron is fired towards a conducting plate from a distance L. The plate has a surface charge density a and a radius that is much greater than the distance L.. When the electron strikes the plate, it is measured that AK. E. 10 eV, where AK. E. Ty-To is the difference between the electron's final kinetic energy and initial kinetic energy. = a) Draw a diagram of the configuration including the co-ordinate system you have chosen. b) Write the integral equation for the work done on the electron when moving from it's initial position to an arbitrary final position, x . c) Write the integral equation for the potential difference of the system for a path that begins at the electron's initial position and ends at an arbitrary position, x. d) Determine the equation for the potential difference between the initial position of the electron and an arbitrary position, x. e) Plot the potential difference from part d) f) If the electron is initially at rest and L=…