QTest #3-solutions - rooF oF the building in the direction...

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Version 140/ACADA – QTest #3 – Antoniewicz – (57380) 1 This print-out should have 2 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points A man can throw a ball a maximum horizontal distance oF 146 m. The acceleration oF gravity is 9 . 8 m / s 2 . How Far can he throw the same ball verti- cally upward with the same initial speed? 1. 69.0 2. 83.0 3. 64.0 4. 68.0 5. 95.0 6. 73.0 7. 54.5 8. 49.05 9. 89.0 10. 76.0 Correct answer: 73 m. Explanation: The range oF a particle is given by the ex- pression R = v 2 0 sin 2 θ g . The maximum horizontal distance is obtained when the ball is thrown at an angle θ = 45 and sin 2 θ = 1 . Solving For v 0 , v 0 = r g R . When the ball is thrown upward with this speed, the maximum height is obtained From the equation v 2 f = v 2 0 - 2 g h . Let v f = 0, and solve For h h = v 2 0 2 g . 002 10.0 points A target lies ±at on the ground 5 m From the side oF a building that is 10 m tall, as shown below. The acceleration oF gravity is 10 m / s 2 . Air resistance is negligible. A student rolls a 5 kg ball o² the horizontal
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Unformatted text preview: rooF oF the building in the direction oF the target. 5 m 10 m v The horizontal speed v with which the ball must leave the rooF iF it is to strike the target is most nearly 1. v = 5 2 m/s. 2. v = 5 2 2 m/s. correct 3. v = 5 5 m/s. 4. v = 3 5 m/s. 5. v = 5 3 m/s. 6. v = 5 3 3 m/s. 7. v = 2 5 m/s. 8. v = 2 5 m/s. 9. v = 3 5 m/s. 10. v = 5 5 m/s. Explanation: m = 5 kg , not required h = 10 m , x = 5 m , and g = 10 m / s 2 . Version 140/ACADA QTest #3 Antoniewicz (57380) 2 Observe the motion in the vertical direction only and it is a purely 1-dimension movement with a constant acceleration. So the time need for the ball to hit the ground is t = r 2 h g and the horizontal speed should be v = x t for the ball to hit the target. Therefore v = x R g 2 h = (5 m) r 10 m / s 2 2 (10 m) = 5 2 m / s = 5 2 2 m / s ....
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This note was uploaded on 03/01/2011 for the course PHYS 317K taught by Professor Turner during the Spring '11 term at University of Texas at Austin.

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QTest #3-solutions - rooF oF the building in the direction...

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