PHYS 1051 Midterm: PHYS 1051 Fall 2012 Term Test 1
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Instructions: there are four questions, each consisting of short theory part and a problem solving part. Answer all the questions, show all your work: do not erase or whiteout your answers. Question i: sketch a graph showing the potential energy of an ideal spring as a function of displace- ment x of the spring from its equilibrium. [2. 5 points: an oscillator consists of a block attached to a horizontal spring (k = 456 n/m). At time t = 0, the position (measured from the equilibrium position), velocity and acceleration of the block are x = 0. 112 m, vx = 13. 6 m/s and ax = 123 m/s2. Question ii: derive the expression for the speed v of a pulse traveling on a stretched spring of length. L, mass m and under tension t . [5 points: the displacement of a traveling wave can be described by the equation.
