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HW3c - GenericStudent Homework 3 savrasov 39823 This...

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GenericStudent – Homework 3 – savrasov – 39823 – Jan 02, 2008 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 2 points You have a potential difference of 8 V. How much work is done to transfer 0 . 34 C of charge through it? Correct answer: 2 . 72 J. Explanation: Let : V = 8 V and q = 0 . 34 C . The potential difference is V = W q W = V q = (8 V) (0 . 34 C) = 2 . 72 J . keywords: 002 (part 1 of 1) 2 points Through what potential difference would an electron need to be accelerated for it to achieve a speed of 4 . 5 % of the speed of light (2 . 99792 × 10 8 m / s), starting from rest? Correct answer: 517 . 387 V. Explanation: Let : s = 4 . 5% = 0 . 045 , c = 2 . 99792 × 10 8 m / s , m e = 9 . 10939 × 10 - 31 kg , and q e = 1 . 60218 × 10 - 19 C . The speed of the electron is v = 0 . 045 c = 0 . 045 ( 2 . 99792 × 10 8 m / s ) = 1 . 34907 × 10 7 m / s , By conservation of energy 1 2 m e v 2 = - ( - q e ) Δ V Δ V = m e v 2 2 q e = ( 9 . 10939 × 10 - 31 kg ) × ( 1 . 34907 × 10 7 m / s ) 2 2 (1 . 60218 × 10 - 19 C) = 517 . 387 V . keywords: 003 (part 1 of 1) 2 points In Rutherford’s famous scattering experi- ments (which led to the planetary model of
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