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# lec09 - Physics 140 Fall 2007 lecture#9 2 Oct My grade in...

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Physics 140 – Fall 2007 lecture #9: 2 Oct My grade in high school physics was 1. A 2. B 3. C 4. D 5. I invoke my 5th amendment rights… 6. I didn’t take HS physics

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The grade I expect to receive in this class is 1. A 2. B 3. C 4. D 5. none of the above…
Where are you from? 1. Ann Arbor 2. Michigan palm 3. Michigan UP 4. USA(outside MI), E of Mississippi river 5. USA(outside MI), W of Mississippi river 6. Outside USA An object attached to a spring that is displaced an amount x along its length (positive x is stretched, negative x compressed) feels a force where the minus sign indicates that the direction of the force is opposite that of the displacement . The work done on the object as the spring relaxes back to its rest position displacement after initially being displaced by an amount x, is a positive quantity given by the integral More generally, the work between initial and final displacements is F = " kx W = F ( " x ) d " x = x 0 # \$ 1 2 k " x 2 | x 0 = 1 2 kx 2 W = F ( " x ) d " x = x i x f # \$ 1 2 k " x 2 | x i x f = 1 2 kx i 2 \$ 1 2 kx f 2 Spring Force and Work

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