final - Physics 1C Summer Session I 2011 Final Exam...

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Physics 1C, Summer Session I, 2011 Final Exam Instructions: Do any 8 problems. Please do all work on separate sheets of paper, and hand in everything you want to be graded. Clearly mark the problems that you want graded, and box the answers. Problem 1: A mass on a spring oscillates with an amplitude A . What is its displacement from the equilibrium position, in terms of A , when the kinetic energy is equal to twice the potential energy? Problem 2: A string with mass per unit length of 0.010 kg / m is 0.5 meters long and tied down on both ends. Tension is applied to the string. (a) What should the tension be to achieve a fundamental frequency of 440 hz ? (b) If this amount of tension is applied, what is the wave speed in the string? Problem 3: A dolphin is swimming towards an underwater cliff at a speed of 5 m/s . The dolphin emits an ultrasound wave with a frequency of 100 kHz. When the echo returns from the cliff and interferes with the sound from the source, beats are produced. What is the beat frequency?
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final - Physics 1C Summer Session I 2011 Final Exam...

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