HW 6-3-solutions - madrid (tmm2353) HW 6-3 Antoniewicz...

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Unformatted text preview: madrid (tmm2353) HW 6-3 Antoniewicz (56445) 1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 4.0 points A mass of 0 . 15 kg hangs from a vertical spring in the lab room. You grab hold of the mass and throw it vertically downward. The speed of the mass just after leaving your hand is 3 . 41 m / s . While the mass moved downward a distance of 0 . 07 m, how much work was done on the mass by the Earth? Use g = 9 . 8 m / s 2 . Correct answer: 0 . 1029 J. Explanation: We can write W Earth = vector F vectorr = ( , mg, ) ( , y, ) = (0 . 15 kg)(9 . 8 m / s 2 )(3 . 41 m / s) = . 1029 J . 002 (part 2 of 2) 4.0 points The speed of the mass has decreased to 2 . 89 m / s. How much work was done on the mass by the spring? Correct answer: . 3486 J. Explanation: We can write KE = W spring + W Earth W spring = KE W Earth = 1 2 m vextendsingle vextendsingle vectorv f vextendsingle vextendsingle 2 1 2 m | vectorv i | 2 W Earth = . 3486 J . 003 (part 1 of 6) 2.0 points A lithium nucleus has mass 5 . 1 10- 27 kg. If its speed is 0 . 992 c (that is, v/c = 0 . 992), what is the particle energy? Use c = 3 10 8 m / s. Correct answer: 3 . 63599 10- 9 J. Explanation: The particle energy is just the total energy, given by E = mc 2 . So we have E = 1 radicalBigg 1 parenleftbigg v c parenrightbigg 2 mc 2 = 1 radicalbig 1 . 992 2 (5 . 1 10- 27 kg) c 2 = 3 . 63599 10- 9 J . 004 (part 2 of 6) 2.0 points What is the rest energy? Correct answer: 4 . 59 10- 10 J. Explanation: The rest energy is just E rest = mc 2 = (5 . 1 10- 27 kg) c 2 = 4 . 59 10- 10 J . 005 (part 3 of 6) 2.0 points What is the kinetic energy? Correct answer: 3 . 17699 10- 9 J....
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This note was uploaded on 11/15/2011 for the course PHY 303K taught by Professor Turner during the Fall '08 term at University of Texas at Austin.

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HW 6-3-solutions - madrid (tmm2353) HW 6-3 Antoniewicz...

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