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Unformatted text preview: Problem Set IX- Assign November 8, 2006 Due November 15, 2006. Fall 2006 Physics 200a R. Shankar 1. Write the equation for a wave moving along + x with a amplitude . 4 m , speed 6 m/s and frequency 17 Hz . If these are waves on a string with mass per unit length = . 02 kg/m , what is the u , the energy per unit length ? What is the power being fed into the vibrating string? 2. The speed of sound in water and air is 1450 m/s and 330 m/s respectively. Sound from explosion on the surface of a lake first reaches me when my head is under water and 5 s later when my head is above the water. How far away was the explosion? 3. A block of mass M sits on an frictionless inclined plane of angle = / 4 as in Figure (1). It is connected by a wire of linear mass density = . 03 kg/m that goes over a pulley that supports mass m . Both masses are at rest. If transverse waves travel at v = 80 m/s in the wire find M and m , using symbols till the end. Ignore the mass of the string in computing the tension on the string, use it just to find the velocity of...
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