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C Secure https://session.masteringphysics.com/myct/itemView?assignmentProblemID-79127517&offset; next smewerk 10 Problem 14.56 Problem 14.56 Part A What is the period of the mation? A 0.800-kg block oscilates on the end of a spring whose spring constant is k = 40.0 N/ m . The mass moves in Suid which oters a resistive sorce F =-bt, where b 0 650 N s/m My Answers Give Up Part B What is the fractional decrease in ampitude per cyde? 4- My Answers Ghee Up Part C wto tho displacement as a "uncion of timo 1 in seconda ir atl .0.z. and atetoezii H(0257n)eas (7.oerad/o 898 2 caps locik control option command

Explanation / Answer

(A) w = sqrt[ k/m - b^2/4m^2 ]

k = 40 N/m

m = 0.800 kg

b = 0.650 N s/m

w =7.06 rad/s

T = 2 pi / w = 0.89 sec .....Ans

(B) A = A0 e^(-b/2m T)

A0 - A / A0

= (A0 (1 - e^(-bT/2m)) / A0

= (1 - e^(-bT/2m)

= 0.30

(C) x = 0.257 m) e^(-0.406t) sin(7.06 rad/s t )

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