physics TEST1

# physics TEST1 - Version 041/AACCB – Test#1 –...

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Unformatted text preview: Version 041/AACCB – Test #1 – Antoniewicz – (57380) 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 3) 4.0 points A motorboat heads due east at 13 . 9 m/s across a river that flows toward the south at a speed of 4 . 4 m/s. a) What is the magnitude of the resultant velocity relative to an observer on the shore? 1. 12.5591 2. 11.0982 3. 14.2201 4. 12.2723 5. 15.5361 6. 15.0659 7. 13.0361 8. 14.5798 9. 11.3886 10. 13.8578 Correct answer: 14 . 5798 m / s. Explanation: 13 . 9 m / s 4 . 4m / s v be θ Note: Figure is not drawn to scale. Basic Concepts: vectorv be = vectorv br + vectorv re Since the velocities are perpendicular, v 2 be = v 2 br + v 2 re Given: Let north and east be positive: v br = 13 . 9 m / s v re = − 4 . 4 m / s Solution: v be = radicalBig (13 . 9 m / s) 2 + ( − 4 . 4 m / s) 2 = 14 . 5798 m / s 002 (part 2 of 3) 3.0 points b) What is the angle from the original heading (with counterclockwise positive) of the boat’s displacement? 1. -14.6383 2. -14.1495 3. -12.9381 4. -18.7052 5. -20.0952 6. -11.9083 7. -17.565 8. -18.1456 9. -17.8562 10. -17.2161 Correct answer: − 17 . 565 ◦ . Explanation: Basic Concept: tan θ = v re v br Solution: θ = tan − 1 parenleftbigg v re v br parenrightbigg = tan − 1 parenleftbigg − 4 . 4 m / s 13 . 9 m / s parenrightbigg = − 17 . 565 ◦ which is 17 . 565 ◦ south of east. 003 (part 3 of 3) 3.0 points c) If the river is 1392 m wide, how long does it take the boat to cross? 1. 88.96 2. 80.4027 3. 106.075 4. 103.307 5. 110.96 6. 95.7724 7. 132.946 8. 100.144 9. 124.811 10. 98.9116 Correct answer: 100 . 144 s. Explanation: Version 041/AACCB – Test #1 – Antoniewicz – (57380) 2 Basic Concept: Δ x = v br Δ t Given: Δ x = 1392 m Solution: The boat approaches the opposite bank at 13 . 9 m / s, so Δ t = Δ x v br = 1392 m 13 . 9 m / s = 100 . 144 s 004 10.0 points A cat chases a mouse across a 1.7 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 3.0 m from the edge of the table. The acceleration of gravity is 9 . 81 m / s 2 . What was the cat’s speed when it slid off the table? 1. 2.24614 2. 5.66092 3. 6.3291 4. 7.41697 5. 2.13669 6. 4.44786 7. 7.23326 8. 2.71247 9. 2.28431 10. 5.09585 Correct answer: 5 . 09585 m / s....
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physics TEST1 - Version 041/AACCB – Test#1 –...

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