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A: R1 = 2.7 ohm R2 = 6.10 ohm R3 = 2.60 ohm R4 = 3.90 ohm R5 = 3.80 ohm R6 = 2.90 ohm R7 = 4.30 ohm
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- Nobel laureate Richard Feynman (19181088) once said that if two persons stood at arms length from each other and each person had 1% more electrons than protons, the force of repulsion between them would be enough to lift a weight equal to that of the entire Earth. Carry out an order-of-magnitude calculation to substantiate this assertion.A certain five cent coin contains 5.00 g of nickel. What fraction of the nickel atoms’ electrons, removed and placed 1.00 m above it, would support the weight of this coin? The atomic mass of nickel is 53.7, and each nickel atom contains 28 electrons and 28 protonsIn 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 10-27 kg, is a product of certain radioactive decay's. The results of the experiment led Rutherford to the idea that most of an atoms mass is in a very small nucleus, with electrons in orbit around it. (This is the planetary model of the atom, which well study in Chapter 42.) Assume an alpha particle, initially very far from a stationary gold nucleus, is fired with a velocity of 2.00 107 m/s directly toward the nucleus (charge +79e). What is the smallest distance between the alpha particle and the nucleus before the alpha particle reverses direction? Assume the gold nucleus remains stationary.
- What are the signs of the charges on the particles in Figure 22.46?Integrated Concepts (a) In Figure 18.59, four equal charges q lie on the corners of a square. A fifth charge Q is on a mass m directly above the center of the square, at a height equal to the length d of one side of the square. Determine the magnitude of q in terms of Q. m, and d, if the Coulomb force is to equal the weight of m. (b) Is this equilibrium stable or unstable? Discuss.Integrated Concepts Fusion probability is greatly enhanced when appropriate nuclei are brought close together, but mutual Coulomb repulsion must be overcome. This can be done using the kinetic energy of high-temperature gas ions or by accelerating the nuclei toward one another. (a) Calculate the potential energy of two singly charged nuclei separated by 1 .00 10-12 m by finding the voltage of one at that distance and multiplying by the charge of the other. (b) At what temperature will atoms of a gas have an average kinetic energy equal to this needed electrical potential energy?
- A glass rod is initially neutral. After it is rubbed with silk, its charge is 45.7 C. a. Has the rod gained or lost mass? Explain. b. How much mass has the rod gained or lost?(a) Calculate the mass of a proton using the charge-to-mass ratio given for it in this chapter and its known charge. (b) How does your result compare with the proton mass given in this chapter?Given the polar character of water molecules, explain how ions in the air form nucleation centers for rain droplets.
- Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the charge of the electron, e=−1.60217662×10−19C. Mass of the electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb . Coordinates of three charges in a 2D plane is given as follows: q1=33μC at p1=(18,8), q2=37μC at p2=(−12,−12) and q3=−13μC at p3=(−7,−18). These coordinates are given in centimeters. a) Compute x and y components of force on q1 due to q2. b) Compute x and y components of force on w1 due to q3.CH19 P3 A bare nucleus has 8.0 positive charges and a mass of 5.31?−26 -kg. Include units for all answers. (a) Calculate its kinetic energy in Joules at 14.014.0% of the speed of light. (b) What is this in electron volts? (c) What voltage would be needed to obtain this energy?Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10^-19C. Mass of one electron, me=9.10938356×10−31kg. The gravitational acceleration near the surface of Earth g=9.8m/s2. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb . step 1: Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass m1=m2=m and equal charge q1=q2=q. Assume that the charge of each sphere is q=36nC , the length of the thread is L=233cm and the horizontal separation is x=17cm. You must draw the figure properly in your pdf. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate system. (Hint: You may find it convenient to choose q1 or…