The nucleus in an iron atom has a radius of about 4.0×10-15 m and contains 26 protons. (i) What is the magnitude of the repulsive electrostatic force between two of the protons that are separated by 4.0×10-15 m? (b) What is the magnitude of the gravitational force between those same two protons? [Given, e =+1.6x1019 C and mp=1.67x10-27 kg] 2.5
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- 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 6.0 * 10-14 m of the center of thegold nucleus before reversing direction? Assume that the gold nucleus,which has about 60 times the mass of an alpha particle, remains at rest.A test charge of +7 µC is placed halfway between a charge of +6 μC and another of +3 μC separated by 16 cm. (a) What is the magnitude of the force (in N ) on the test charge?Consider an electron, of charge magnitude e = 1.602 × 10-1⁹ C and mass m₂ = 9.11 × 10-31 kg, moving in an electric field with an electric field magnitude E = 4 x 10² N/C, similar to what Thana observed in the simulation. Let the length of the plates be L = 50 cm, and the distance between them be d = 20 cm. Find the maximum speed, v, the electron could be moving if it enters the space halfway between and parallel to the two plates to just barely strike one of the plates. m/s If the field is pointing upward, which plate will Thana conclude the electron strikes at this speed? O The upper plate, because the electron charge magnitude is positive. O The upper plate, because we are only considering the magnitude of the electron charge, and magnitudes are always positive. O The lower plate, because the electron is attracted to the negative plate. O The lower plate, because the electron is negatively charged.
- A test charge of +1.9 uC is placed halfway between a charge of +4.6 µC and another of +7.4 µC separated by 14 cm. What is the magnitude of the force on the test charge?Consider the two charges in the figure, which are moving in opposite directions and located a distance 11 cm on either side of the origin of the given coordinate system. Charge one is 19.5 uC and is moving at a speed 19.5 x U2 10° m/s, and charge two is -8.5 µC and is moving at a speed of 6.5 x 106 m/s. Notice that the positive z-direction in this figure is directed out of the page. 92 d What is the total magnetic field, in the z-direction, at a point Q located a distance 45 cm down the x-axis, as shown? d 912) The charge, and mass, of the proton are which of the following values? a) +1.6 x 1019 C, m = 1.67 x 10-27 kg; b) -1.6 x 1019C, 9.11 x 10³' kg; c) 0, 1.67 x 1027 kg; and d) 3.2 x 1019 C, m = 1.8 x 1030 kg. 3) A proton is placed in a uniform electric field of 2.75 x 103 N/C. Calculate the following: i) magnitude of the electric force exerted on the proton; i) the proton's resultant acceleration; and ii) the speed of the proton, 1 usec after being released in the field, assuming it starts from rest. Show all work for credit. a) F(p) = 4.4 x 10:16 N, a(p) = 2.75 x 10" m/s², v(p) = 2.75 x 10' m/s; b) F(p) = 20 x 1018 N, a(p) = 1.2 x 101º m/s², v(p) = 1.4 x 10ʻ m/s; c) F(p) = 8 x 1016 N, a(p) = 4.8 x 10" m/s², v(p) = 2.63 x 105 m/s; or d) F(p) = 120 x 1019 N, a(p) = 63 x 10° m/s², v(p) = 8 x 10³ m/s. %3D %3D %3D %3D
- 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.In an experiment similar to the setup described in the Example, a positively charged particle of mass m is released from rest at the surface of the positive plate. The velocity of the particle at the negative plate is 1.30 ✕ 105 m/s. If the electric field magnitude is 6.00 ✕ 103 N/C, the distance between the two plates is 5 cm, and the charge on the particle is 3e, what is the particle's mass (in kg)?Scientists in the laboratory create a uniform electric field Ē = 1.0 x 10°k [V/m] in a region of space where B = 0. What are the fields in the reference frame of a rocket travelling in the positive x direction at 1.0 × 106 [m/s]?
- Consider a system of two charges where the first charge is on the positive x-axis and the second charge is on the positive y-axis. If these two charges produce electric fields at the origin given by (2.61, 0) N/C and (0, -2.61) N/C, respectively, determine the following. (a) the magnitude of the resultant electric field at the origin, measured counterclockwise from the positive x-axis N/C (b) the direction of the resultant electric field at the origin, measured counterclockwise from the positive x-axis ° counterclockwise from the +x-axis (c) What would be the magnitude of the force on a 1.34 x 10-⁹ C charge placed at the origin? NSay 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.