A 170-g object is fixed to the end of a spring that has a spring constant of 15.

Question

A 170-g object is fixed to the end of a spring that has a spring constant of 15.0 N/m. The object is displaced 15.0 cm to the right and released from rest at t = 0 to slide on a horizontal, frictionless table.

1)

Calculate the first time when the object is at the equilibrium position. (Express your answer to three significant figures.)

express in s

2)

What is the first time when the object is 10.0 cm to the left of equilibrium? (Express your answer to three significant figures.)

express in s

3)

What is the first time that the object is 5.00 cm to the right of equilibrium, moving toward the left? (Express your answer to three significant figures.)

express in s

Explanation / Answer

1. time period, T = 2 pi sqrt(m/k)

= 2 pi sqrt(0.170 / 15)

= 0.669 sec

time taken to reach eq. position from eterem,

t = T/4 = 0.167 s

2. x = A cos(wt)

w = sqrt(k/m) = 9.4 rad/s

-0.10 = 15 cos(9.4t)

t = 0.245 sec

3. 5 = 15 cos(9.4t)

t = 0.131 sec

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