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solution-hw11

# solution-hw11 - lai(yl8859 HW11 Ross(15200 This print-out...

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lai (yl8859) – HW11 – Ross – (15200) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Water flows over Victoria Falls, which is 128 m high, at an average rate of 1 . 56 × 10 6 kg/s. The acceleration of gravity is 9 . 81 m / s 2 . If half the potential energy of this water were converted into electric energy, how much power would be produced by these falls? Correct answer: 979 . 43 MW. Explanation: Let : Δ m Δ t = 1 . 56 × 10 6 kg / s , h = 128 m m , and g = 9 . 81 m / s 2 . P = Δ W Δ t = - Δ U Δ t = - 1 2 Δ( mg h ) Δ t = - 1 2 g h Δ m Δ t = - 1 2 (9 . 81 m / s 2 ) ( - 128 m) × (1 . 56 × 10 6 kg / s) · MW 10 6 W = 979 . 43 MW . 002 (part 1 of 2) 10.0 points A bead slides without friction around a loop- the-loop. The bead is released from a height 9 m from the bottom of the loop-the-loop which has a radius 3 m. The acceleration of gravity is 9 . 8 m / s 2 . 9 m 3 m A What is its speed at point A ?

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