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.

Q: An electron is in uniform circular orbit around a nucleus at a distance of 8.00 x 1011 meters at a…

A: Radius of orbit, R= 8.00 x 10-¹¹ m Speed (v)= 4.35 x 106 m/s Mass of electron (m)= 9.1× 10-³¹ kg Let…

Q: A positive charge of 4.50 μC is fixed in place. From a distance of 4.30 cm a particle of mass 6.50 g…

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Q: A small ball with charge q = 4.3 μC and mass m = 0.045 kg is suspended from the ceiling by a string…

A: Using electrostatics formula and equilibrium condition at point C

Q: A particle with a charge of -2.00nC and a mass of 0.25 kg is released from a negative plate towards…

A: Given: The charge on the particle is q=-2 nC. The mass of the particle is m=0.25 kg. The gap between…

Q: A proton of mass 1.67×10−271.67×10−27 kg with speed v = 3×1053×105 m/s orbits in a circle of radius…

A: Given data: Mass of proton is, m=1.67×10-27 kg. Speed of proton is, v=3×105 m/s. Radius of path is,…

Q: Problem 2: Space explorers discover an mA = 8.7 x 10¹7 kg asteroid that happens to have a positive…

A: Determine the gravitational force.

Q: Alpha particles which have a charge +2e and mass 6.64 x 10-27 kg are initially at rest and are fired…

A: Given Data: Let us consider the given data, The charge on the alpha particle is q=-2e. The mass of…

Q: Composite or stratovolcanoes often eject tiny particles of dust into the atmosphere causing dust…

A: The Coulomb force (F) is given by, Here, 1/4πεo = 9 x 109 Nm2C-2, q1 and q2 are the charges…

Q: NASA's Deep Space 1 and Dawn spacecraft employed ion thrusters in which xenon ions with a charge of…

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Q: You are working on a research project in which you must control the direction of travel of electrons…

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Q: A charge of 2.75 pC is held fixed at the origin. A second charge of 2.75 pC is released from rest at…

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Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

A: Given: The electric field at radial distance from central axis is E=αe-r/a0+βr+b0. The formula to…

Q: he plates of a parallel-plate capacitor are 3.50 mmmm apart, and each carries a charge of magnitude…

A: Given, Separation between the plates, d = 3.50 mm magnitude of the charge, q = 75.0 nC electric…

Q: In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha…

A: given -  charge of alpha particle = +2e mass of alpha particle = 6.64 ×10-27 kg initial velocity =…

Q: An electron of mass me = 9.1 × 10−31 kg is accelerated in the uniform electric field E between  two…

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Q: Two 2.0-mm diameter beads, C and D, are 12mm mm apart, measured between their centers. Bead C has…

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Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

A: This problem is nothing but the evaluation of integrals.

Q: A proton follows the path shown in (Figure 1). Its initial speed is v0 = 1.9×106 m/s.   Figure…

A: Given:v0 = 1.9×106 m/sCharge on negative charge, q = 10 nC

Q: A positive charge of 4.90 µC is fixed in place. From a distance of 3.20 cm a particle of mass 6.30 g…

A: The initial total energy of the system is equal to the sum of the potential energy and kinetic…

Q: A proton with a kinetic energy of 1.98 keV (1eV=1.602·10-19J), that is at height 23.2 cm above a…

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Q: Problem 2: Space explorers discover an mA = 8.7 x 10¹7 kg asteroid that happens to have a positive…

A: Given: The mass mA is 8.7×1017 kg.            The value of charge qA is 4400 C.            The mass…

Q: In figure 2, an upwardly oriented uniform electric field E⃗ of a magnitude of 2.0 × 103 N / C has…

A: (a) If the electron will hit the upper plane that means, y=d. Now the initial velocity (u) of the…

Q: Consider a proton approaching a helium-3 nucleus that has two protons and one neutron. Determine…

A: Charge on helium -3 nucleus (q) = 2 e charge on proton (q') = e distance of closest approach (d) =…

Q: The heat and light radiated by stars is the result of fusion, the process in which energy is…

A: Given data: The distance is r = 1.9*10^-15 m The mass of proton is m = 1.67*10^-27 kg The charge of…

Q: +2.7 mC charged particle (m=1.5 kg) is shot with an initial velocity of 202 m/sec towards a +1.8 mC…

A: Given: Charge of the moving particle, q1 = +2.7 mC. Charge of the stationary particle, q2 = +1.8 mC.…

Q: A charged particle of mass, m = 5.00 µg, and charge, q= 8.85 µC is accelerated away from rest at the…

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Q: Problem 2: Consider the parallel-plate capacitor shown in the figure. The plate separation is 5.9 mm…

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Q: In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha…

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Q: The next 5 questions all have to do with the diagram shown, on which I have placed an electron at…

A: Given values -  Grid spacing = 1 Angstrom per small square Number of protons = 20  Position of…

Q: An alpha particle (charge +3.20 x 10-19C, mass 6.64 x 10-27kg) is initially 5.2 cm away from a fixed…

A: Apply energy conservation principle Ui+Ki=Uf+KfkQqri+12mvi2=kQqrf+12mvf2

Q: What is the magnitude, in microcoulombs per squared meter, of the surface charge density on the…

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Q: An Alpha particle (a Helium nucleus with a +2e charge) enters a parallel plate arrangement through a…

A: Given data, Potential of positive plate = 5 V Potential of negative plate = -5 V

Q: Homework Question 13. A proton is shot at the nucleus of a gold atom. When the proton is a long way…

A: Given: The initial speed of the proton is 6x106 m/s ( for away). The final speed of the proton is…

Q: The Russian physicist P. A. C˘ erenkov discovered that a charged particle traveling in a solid with…

A: Given data: Refractive index of the crown glass n = 1.52 speed of light v =3×108 m/s

Q: particle (mass = 4.0 g, charge = 52 nC) moves along the x-axis in a egion of space where the…

A: Given values:- mass,(m)=4 gm=4 x 10-3 kg ----(1) Charge,(q)=52 mC=52 x 10-3 C -----(2) Electric…

Q: A typical AA size rechargeable NiMH battery can store 1100-2100 mAh of electric charge. The small…

A: Note:“Since you have posted multiple questions, we will provide the solution only to the first…

Q: a. what is the potential difference between the plates b. if the electrons are stopped halfway…

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Q: A positively charged particie x = -1 cm in a constant electric field with magnitude E = 2.0 x 10…

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Q: Given a single particle of mass m, the amount of energy E produced when all of its mass is converted…

A: Let us consider the reaction of the electron positron annihilation e-+e+→γ+γFrom the Law of…

Q: Problem 3: Consider the arrangement of three identical small charged spheres, each of mass 6.2 g and…

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Q: The proton-proton chain is the multi-step process that powers the Sun via fusion of hydrogen into…

A: In a pair annihilation process, an electron and a positron annihilate each other to produce pure…

Q: Alpha particles which have a charge +2e and mass 6.64 ✕ 10−27 kg are initially at rest and are fired…

A: Given Data: The charge on the alpha particle is, q=+2e The mass of the alpha particle is,…

Q: Long, long ago, on a planet far, far away, a physics experiment was carried out. First, a 0.250-kg…

A: Given information: The mass of the ball, m=0.250 kg The height from which the ball is dropped,…

Q: A proton is fired from very far away directly at a fixed particle with charge  q = 1.60 ✕ 10−18 C.…

A: The charge of the fixed particle is 1.60x10-18 C.The initial speed of the proton is 1.7x105 m/s.The…

Q: A proton is projected horizontally midway between two parallel plates that are separated by 0.47 cm.…

A: Given Data:Separation of the plates Magnitude of electric field Length of the plates It is known…

Q: A point charge q1=5.00μC is held fixed in space. From a horizontal distance of 8.00 cmcm, a small…

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Q: One form of nuclear radiation, beta decay, occurs when a neutron changes into a proton, an electron…

A: V = 3.18*108 m/sExplanation:

Q: A positive charge of 4.20 μC is fixed in place. From a distance of 4.20 cm a particle of mass 6.20 g…

A: We are given 2 charges. We find the force of repulsion between them. We then find the acceleration…

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.