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A jack-in-the-box is actually a system that consists of an object attached to the top of a vertical spring (Fig.)

32_A jack-in-the-box is actually a system.png

a. Sketch the energy graph for the potential energy and the total energy of the spring-object system as a function of compression distance x from x = -x_max to x =0. Where -x_max is the maximum amount of compression of the spring. Ignore the change in gravitational potential energy.

b. Sketch the kinetic energy of the system between these points-the two distances in part (a)-on the same graph (using a different color).

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