500g hard-boiled egg moves on the end of a spring with, Ask an Expert

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50.0g hard-boiled egg moves on the end of a spring with force constant k = 25.0 N/m. Its initial displacement is .300m. A damping force F_x = bv_x acts on the egg, and the amplitude of the motion decreases to .100 in 5 seconds.

a) calculate the damping factor b.

b) Calculate the speed of the egg.

c) Determine the position equation, x(t) for the motion.

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