Problem Set 6 & Solutions

Problem Set 6 & Solutions - Phys116 Problem Set...

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Phys116 Problem Set 6 (Installment #1 and #2) Due: Friday, Oct. 17, 2003 before the start of class. Please write your TA’s name at the top of your solution set. Communicate your reasoning in your solutions, concisely and clearly. Efforts are as important as correct answers. 1. A rocket, with initial mass (including fuel) equal to m 0 , is hovering motionless 100 m above the surface of the earth. The speed of the exhaust gases is u, constant in time. Determine a function M(t) for the time dependence of the mass of the rocket (+ remaining fuel) that will enable the rocket to continue to hover without moving up or down. 2. K&K problem 3.16. Assume that the water has a constant density r (mass per unit volume). 3. K&K, Problem 3.17. The answer clue in K&K is not correct. For W = 10 N, h max = 15.3 m. 4. (From Prof. Veit Elser.) Below is a sketch of an exciting new design for urban locomotion: the rainmobile . The rainmobile is specifically designed for locations with high precipitation rates, ˙ z (a few inches per hour).
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