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A 990 g block oscillates on the end of a spring whose force constant is k = 66 N/m. The mass moves in a fluid which offers a resistive force F = -bv, where b = 0.162 N·s/m.

(a) What is the period of the motion?

_________s

(b) What is the fractional decrease in amplitude per cycle?

__________

(c) Write the displacement as a function of time if at t = 0, x = 0, and at t = 1.00 s, x = 0.120 m.

x = (_______ m )

exp(________ s-1t )

sin (_________ s-1t)

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