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white (rw22679) – Hw02 – Ross – (10219) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points An ion accelerated through a potential dif- ference of 138 V experiences an increase in kinetic energy of 4 . 27 × 10 - 17 J. Find the magnitude of the charge on the ion. Correct answer: 3 . 0942 × 10 - 19 C. Explanation: Let : Δ V = 138 V and K = 4 . 27 × 10 - 17 J . By conservation of energy Δ K = - q Δ V q = - Δ K Δ V = - 4 . 27 × 10 - 17 J 138 V = - 3 . 0942 × 10 - 19 C , which has a magnitude of 3 . 0942 × 10 - 19 C . 002 (part 1 of 3) 10.0 points A pair of oppositely charged parallel plates are separated by 5 . 59 mm. A potential difference of 570 V exists between the plates. What is the strength of the electric field between the plates? Correct answer: 1 . 01968 × 10 5 V / m. Explanation: Let : Δ V = 570 V and Δ d = 5 . 59 mm = 0 . 00559 m . The potential difference is Δ V = - E Δ d E = - Δ V Δ d = - 570 V 0 . 00559 m = - 1 . 01968 × 10 5 V / m . which has a strength of 1 . 01968 × 10 5 V / m . 003 (part 2 of 3) 10.0 points What is the magnitude of the force on an electron between the plates? Correct answer: 1 . 63148 × 10 - 14 N. Explanation: Let : q = - 1 . 60 × 10 - 19 C . The electric force is F elec = q E = - ( 1 . 60 × 10 - 19 C ) (1 . 01968 × 10 5 V / m) = - 1 . 63148 × 10 - 14 N , with a magnitude of 1 . 63148 × 10 - 14 N . 004 (part 3 of 3) 10.0 points How much work must be done on the electron to move it to the negative plate if it is initially positioned 2 . 87 mm from the positive plate?
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