A oscillation of the 20-kg mass on a spring is described by x = 3 cos(4.0t + 0.8

Question

A oscillation of the 20-kg mass on a spring is described by x = 3 cos(4.0t + 0.80) where x is in centimeters and t is in seconds. What is the force constant of the spring? a. 4.0 N/m b. 0.80 N/m c. 16 N/m d. 32 N/m e. 2.0 pi N/m The motion of a particle connected to a spring is described by x = 10 sin (pi t). At what time (in s) is the potential energy equal to the kinetic energy? a. 0 b. 0.25 c. 0.50 d. 0.79 e. 1.0 The amplitude of a system moving with simple harmonic motion is doubled. The total energy will then be

Explanation / Answer

10) option d is Correct

comparing the equation with

x = Acos(wt + phi)

w = root k/m

w = 4

k/m = 16

k = 16x 2 = 32

k = 32 N/m

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