Canstanis Part A An air-track glider is attached to a spring. The glider is pull

Question

Canstanis Part A An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at t = 0 s. It then oscillates with a period of 1.5 s and a maximum speed of 60 em/s What is the amplitude of the oscilation? Express your answer using two significant figures A14 cm Correct Significant Figures Feedback: Your answer 14.32 cm was either rounded differently or used a different number of signific ant figures than required for this part. Part B What is the glider's pos tion at t 29 s? Express your answer using two significant figures 5 Submit x Incorrect: Try Again;7 attempts remaining: no points deducted

Explanation / Answer

1.

We know that

x = x0*cos (w*t)

w = 2*pi/T

x = 0.14*cos (2*pi*29/1.5)

x = -0.07 m = -7 cm

2.

Time period of given wave is T = 4 sec (from the graph)

frequency = 1/T

f = 1/4 = 0.25 Hz

3.

w = sqrt (k/m)

k = m*w^2

w = 2*pi*f

f = 14/13.5 Hz

k = m*4*pi^2*f^2

k = 0.150*4*pi^2*(14/13.5)^2

k = 6.37 N/m

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