21424292-Work-Energy-Power - thomas(amt2529 HW 3.4...

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1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. This assignment is due October 19th (Mon- day) at 10 pm. Solutions immediately Follow. 001 (part 1 oF 3) 10.0 points A block starts at rest and slides down a Fric- tionless track. It leaves the track horizontally, ±ies through the air, and subsequently strikes the ground. b b b b b b b b b b b b 579 g 4 . 2 m 2 4 m x v What is the speed oF the ball when it leaves the track? The acceleration oF gravity is 9 . 81 m / s 2 . Correct answer: 5 . 94273 m / s. Explanation: Let : g = - 9 . 81 m / s 2 , m = 579 g , and h 1 = 1 . 8 m . b b b b b b b b b b b b m h 1 4 . 2 m v Choose the point where the block leaves the track as the origin oF the coordinate system. While on the ramp, K b = U t 1 2 m v 2 x = - m g h 1 v 2 x = - 2 g h 1 v x = r - 2 g h 1 = R - 2 ( - 9 . 81 m / s 2 ) (1 . 8 m) = 5 . 94273 m / s . 002 (part 2 oF 3) 10.0 points What horizontal distance does the block travel in the air? Correct answer: 4 . 15692 m. Explanation: Let : h 2 = - 2 . 4 m . With the point oF launch as the origin, h 2 = 1 2 g t 2 t = ± 2 h 2 g . Thus x = v x t = v x ± 2 h 2 g = (5 . 94273 m / s) ± 2 ( - 2 . 4 m) - 9 . 81 m / s 2 = 4 . 15692 m . 003 (part 3 oF 3) 10.0 points What is the speed oF the block when it hits the ground? Correct answer: 9 . f = - m g h
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21424292-Work-Energy-Power - thomas(amt2529 HW 3.4...

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