-Z +Z -27 Three charges are on a line as shown. An electron (charge -e, mass m) is released from rest at point A. We want to determine how fast the electron is A B --- --- W W W W moving at point B. a. A common mistake is to calculate the electric force on the electron at point A and then use Newton's 2nd law and constant acceleration kinematics to find the speed of the electron at point B. Why won't this work? b. Use conservation of energy to determine the speed of the electron a point B.
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Part (a)
In the given arrangement, at point A the net force on the electron can be written as below,
Here it is assumed that the force towards the positive x-axis is a positive direction and that towards the negative x-axis is the negative direction.
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- A point charge q₁ = 3.90 nC is placed at the origin, and a second point charge q2 = -2.95 nC is placed on the x-axis at x = +20.0 cm. A third point charge q3 = 2.10 nC is to be placed on the x-axis between q₁ and 92. (Take as zero the potential energy of the three charges when they are infinitely far apart.) ▼ Part A What is the potential energy of the system of the three charges if q3 is placed at x = + 11.0 cm ? V—| ΑΣΦ U= 9.5 107 8 Submit Part B X Incorrect; Try Again ● x = 7.62 cm Previous Answers Request Answer ✔ Correct Where should q3 be placed between q₁ and q2 to make the potential energy of the system equal to zero? Previous Answers ? JHow much work does a uniform electric field of strength, 3,000 N/C, perform on a +2.0-µC point charge that moves a distance of 30 cm in the direction of the electric field? a. 3.6 mJ b. 1.8 mJ c. 3.0 mJ d. 4.2 mJ e. 2.4 mJProblem 18.18 A small particle has charge -6.60 μC and mass 2.50x104 kg. It moves from point A, where the electric potential is V₁ = 220 V, to point B, where the electric potential V₂ = 620 V. The electric force is the only force acting on the particle. The particle has a speed of 5.00 m/s at point A. Part A What is its speed at point B? Express your answer in meters per second to three significant figures. ID] ΑΣΦ Submit Part B Is it moving faster or slower at B than at A? Faster Slower Request Answer Submit Request Answer ? m/s
- A proton has an initial speed of 5.0×105 m/s. Please give a correct/clear explanation of all constants or values used to solve each part: a> What potential difference is required to bring the proton to rest? Express your answer using two significant figures. b>What potential difference is required to reduce the initial speed of the proton by a factor of 2? Express your answer using two significant figures. c>What potential difference is required to reduce the initial kinetic energy of the proton by a factor of 2? Express your answer using two significant figures.Item 3 A uniform electric field of magnitude 5.9x105 N/C points in the positive direction. Part A Find the change in electric potential between the origin and the point (0, 6.0 m). Express your answer using one significant figure. ► View Available Hint(s) AV = Submit Part B AV = ΤΙ ΑΣΦΑ Find the change in electric potential between the origin and the point (6.0 m, 0). Express your answer using two significant figures. ► View Available Hint(s) Submit 15. ΑΣΦ V ? Vm. Q6: In the Bohr model of the hydrogen atom, the electron (charge = -e) is in a circular orbit about the nuclear proton (charge +c) at a radius of 5.29 x 10-¹1 as Figure shows. The mass of the electron is 9.11 x 10kg. Determine the speed of the electron, assuming the orbit to be circular (a =)
- Part A Cathode-ray tubes (CRTS) are often found in oscilloscopes and computer monitors. In (Figure 1) an electron with an initial speed of 6.70×106 m/s is projected along the axis midway between the deflection plates of a cathode-ray tube. The potential difference between the two plates is 24.0 V and the lower plate is the one at higher potential. What is the magnitude of the force on the electron when it is between the plates? Express your answer in newtons. a xa X•10n Figure 1 of 1 F = Submit Previous Answers Request Answer S X Incorrect; Try Again; 8 attempts remaining 2.0 cm Part B K6.0 cm 米 12.0cmParticles A, B, C, and D in (Figure 1) each carry a charge of magnitude 1.0 nC. Express your answer with the appropriate units. U = 0 J Submit Previous Answers Part C Correct Calculate the electric potential energy for the charge distribution in this 3.0-m square if B and C are positive and A and D are negative. Express your answer with the appropriate units. ΜΑ ? U = Value Units Submit Request Answer <1 of 1 Part D Calculate the electric potential energy for the charge distribution in this 3.0-m square if A and C are positive and B and D are negative. Express your answer with the appropriate units. Figure A+ +B HA ? U = Value Units3. Determine the motion, qualitatively, of a positive particle given the following lines of constant electric potential. Briefly explain why your reasoning regarding the motion of the particle. + of originally LOULET -V-IV IV/7V -3 OV 3V -15V 15V
- X 2) Four charges are arranged in the pattern shown. They have equal magnitudes of 1nC but have the signs shown. Three locations, labeled X, Y, and Z, are highlighted. 2 1 A 2 m 2 m 2 m i. The electric potential energy stored by this arrangement of charges is A. Positive Negative B. C. Zero ii. The electric potential at point Z (using the standard reference point) is A. B. A. 0 B. 1.5 V C. 4.5 V D. 6.0 V E. 12 V iii. The electric potential at point X (using the standard reference point) is 3.0 V 3.3 V C. 4.5 V D. 7.5 V E. 18 V 2 m 3 (+) 2 m 4 m 4Problem 18.17 - Enhanced - with Solution You may want to review (Page). For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Parallel plates and conservation of energy. Part A An electron is to be accelerated from a velocity of 3.50x 10 m/s to a velocity of 7.50x105 m/s. Through what potential difference must the electron pass to accomplish this? for Panze for Partido for Part redo foart A refor Part A keyboard shortcuts for Part A help for Part. A Viniital - Viinal= Submit Part B Request Answer Through what potential difference must the electron pass if it is to be slowed from 7.50x105 m/s to a halt? Vinitial - Vinal= Submit for Partfondo for Part redo folet B reor Part B keyboard shortcuts for Part B help for Part B Request Answer VTwo charged, parallel, flat conducting surfaces are spaced d = 0.866 cm apart and produce a potential difference AV = 760 V between them. An electron is projected from one surface directly toward the second. What is the initial speed of the electron if it stops just at the second surface? Number i Units