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physics QUIZ4 - Version 114/ABDAC QTest#4 Antoniewicz(57380...

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Version 114/ABDAC – QTest #4 – Antoniewicz – (57380) 1 This print-out should have 3 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001(part1of2)10.0points A 4 . 6 kg mass undergoes an acceleration given by vectora = a x ˆ ı + a y ˆ  , where a x = 1 . 3 m / s 2 and a y = 5 . 6 m / s 2 . Find the magnitude of the resultant force. 1. 16.9482 2. 16.5232 3. 14.1205 4. 9.71527 5. 28.8582 6. 24.4564 7. 26.445 8. 10.7418 9. 6.79671 10. 14.411 Correct answer: 26 . 445 N. Explanation: The magnitude of the acceleration is a mag = radicalBig a 2 x + a 2 y = radicalBig (1 . 3 m / s 2 ) 2 + (5 . 6 m / s 2 ) 2 = 5 . 74891 m / s 2 . This gives the resultant force as F mag = m a mag = (4 . 6 kg) (5 . 74891 m / s 2 ) = 26 . 445 N . 002(part2of2)10.0points Find the direction of the resultant force. Express your answer as the counterclock- wise angle from the positive x -axis to the resultant force. 1. 45.7848 2. 69.0151 3. 52.125 4. 55.1755 5. 74.9622 6. 71.5651 7. 73.3008 8. 79.5401 9. 76.9307 10. 40.7321 Correct answer: 76 . 9307 . Explanation: The direction of the resultant force is the same as the direction of the acceleration. To find this, take the dot product of vectora
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