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solution20 - fullwood(tf5349 – QUIZ 6 Dynamics – Catala...

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Unformatted text preview: fullwood (tf5349) – QUIZ 6 Dynamics – Catala – (49033) 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 5) 10.0 points Two objects are connected by a string of neg- ligible mass. The 14 kg block is placed on a smooth table top 1 . 8 m above the floor, and the 9 kg block hangs over the edge of the ta- ble. The 9 kg block is then released from rest at a distance of 0 . 9 m above the floor at time t = 0. 14 kg 9 kg 1 . 8m . 9m Determine the acceleration of the 9 kg block as it descends. The acceleration of gravity is 9 . 8 m / s 2 . Correct answer: 3 . 83478 m / s 2 . Explanation: Let : m 1 = 14 kg , m 2 = 9 kg , h = 0 . 9 m , and h 1 = 1 . 8 m . m 1 m 2 h 1 h Let T be the tension in the string and con- sider the free body diagrams for each mass: T m 2 g a T N a m 1 g Applying Newton’s second law to the masses, m 1 a = T m 2 a = m 2 g- T . Adding, m 1 a + m 2 a = m 2 g a = m 2 m 1 + m 2 g = 9 kg 14 kg + 9 kg (9 . 8 m / s 2 ) = 3 . 83478 m / s 2 . 002 (part 2 of 5) 10.0 points How long dies it take the 9 kg block to strike the floor? Correct answer: 0 . 685119 s....
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