A scientist is testing the seismometer in his lab and has created an apparatus that mimics the motion of the earthquake felt in part (a) by attaching the test mass to a spring. If the test mass weighs 13 N, what should be the spring constant of the spring the scientist use to simulate the relative motion of the test mass and the ground from part (a)?

Complete Question

The complete question is shown on the first uploaded image  

a

b

Explanation:

From the question we are told that

     The  amplitude is

     The period is

    The test weight is  

Generally the radial acceleration is mathematically represented as

at maximum angular acceleration

So  

Now is the angular velocity which is mathematically represented as

Therefore

substituting values

Generally this test weight is mathematically represented as

Where k is the spring constant

Therefore

substituting values        

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s

cant without the picture! ?