Two point charges are fixed 4.0 cm apart from each other. Their charges are Q1 = Q2 = 6.5 µC, and their masses are m, = 1.5 mg and m, = 2.5 mg. (a) If Qj is released from rest, what will be its speed after a very long time? (b) If both charges are released from rest at the same time, what will be the speed of Q1 after a very long time?
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- A proton is located at the origin, and a second proton is located on the x-axis at x1 = 6.22 fm (1 fm = 10−15 m). (a) Calculate the electric potential energy associated with this configuration. J (b) An alpha particle (charge = 2e, mass = 6.64 ✕ 10−27 kg) is now placed at (x2, y2) = (3.11, 3.11) fm. Calculate the electric potential energy associated with this configuration. J (c) Starting with the three particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.) J (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. m/s (e) If the two protons are released from rest and the alpha particle remains fixed, calculate the speed of the protons at infinity. m/sTwo parallel plates 10 cm on a side are given equal and opposite charges of magnitude 5.0 × 10−9 C. The plates are 1.5 mm apart. What is the potential difference between the plates?(a) Calculate the speed of a proton that is accelerated from rest through an electric potential difference of 168 V. m/s (b) Calculate the speed of an electron that is accelerated through the same potential difference. m/s
- (a) Calculate the speed of a proton that is accelerated from rest through an electric potential difference of 166 V. m/s (b) Calculate the speed of an electron that is accelerated through the same potential difference. m/sTwo plates separated by a distance d = 15.3 mm are charged to a potential difference V = 7.25 V. A constant force F = 8.31 N pushes a –8.30 mC charge from the positively charged plate to the negatively charged plate. Calculate the change in the kinetic energy AK, potential energy AU, and total energy AE of the charge as it travels from one plate to the other. Assume the initial speed of the charge is 0. AK = AU =Oppositely charged parallel plates are separated by 5.09 mm. A potential difference of 600 V exists between the plates. (a) What is the magnitude of the electric field between the plates? (b) What is the magnitude of the force on an electron between the plates? (c) How much work must be done on the electron to move it to the negative plate if it is initially positioned 2.18 mm from the positive plate?