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Question: an object of mass 5 grams hanging at the bottom...

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An object of mass 5 grams hanging at the bottom of a spring with a spring constant 2 grams per second square is moving in a liquid with damping constant 5 grams per second. Denote by y vertical coordinate, positive downwards, and y - 0 is the spring-mass resting position (a) Write the differential equation satisfied by this system gy-(-2y-5yp)/5 Note: Write t for t, write y for y(t), and yp for y (t) (b) Find the mechanical energy E of this system. Note: Write t for t, write y for y(t), and yp for y(t) (c) Find the differential equation E F(v) satisfied by the mechanical energy Note: Write t for t, write y for y(t), write yp for y (t). write E for E(t)

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