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second square is moving in a liquid with damping constant 3 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. y Note: Write t for t, write y for y(t), and yp for y (t). (b) Find the mechanical energy E of this system E(t) Note: Write t for t, write y for y(t), and yp for y (t). (c) Find the differential equation E-F(3) satisfied by the mechanical energy. E (t) Note: Write t for t, write y for y(t), write yp for y (t), write E for E(t)

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