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A vertical spring stretches 9.6 cm when a 1.3 kg block SSM

Chapter , Problem 73

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QUESTION:

A vertical spring stretches 9.6 cm when a 1.3 kg block SSM is hung from its end. (a) Calculate the spring constant. This block is then displaced an additional 5.0 cm downward and released from rest. Find the (b) period, (c) frequency, (d) amplitude, and (e) maximum speed of the resulting SHM.

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QUESTION:

A vertical spring stretches 9.6 cm when a 1.3 kg block SSM is hung from its end. (a) Calculate the spring constant. This block is then displaced an additional 5.0 cm downward and released from rest. Find the (b) period, (c) frequency, (d) amplitude, and (e) maximum speed of the resulting SHM.

ANSWER:

Step 1 of 6

We have a vertical spring that stretches  when a  block is hung from its end.

a)

First we need to find the spring constant, the force that acts on the spring equals the spring constant multiplied by the elongation that the suspended mass makes, that is,

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