Mass Spring Oscillator question

AI Thread Summary
A mass of 0.3 kg is suspended from a vertical spring, initially at rest, and is then pulled down to a length of 0.9 m with an upward speed of 1.2 m/s. The spring constant was calculated to be 196 N/m. The potential energy of the mass due to the spring was determined to be 24.5 J. The discussion emphasizes the importance of considering the velocity of the block at its lowest point and applying energy conservation principles to find the maximum length of the spring during motion. Understanding these concepts is crucial for solving the problem effectively.
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Homework Statement


A mass of 0.3kg hangs motionless from a vertical spring whose length is 0.8m and unstreteched length is 0.65m.

The mass is then pulled down so the spring has the length of 0.9m and given an initial speed upwards of 1.2m/s upwards.

What is the maximum length of the spring during the subsequent motion?





The Attempt at a Solution


I started by working out the spring constant.
Fgrav = Fspring when the mass is constant
using that I got the spring constant to be 196Nm

Then after that I'm not sure what to do..

I tried working out the potential energy on the mass due to the spring. My answer for that is 24.5J
 
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The idea of working out the spring constant first is correct :smile:

Now, what happens to its velocity of the block when it reaches its bottom-most point?
Then think of energy conservation of the system.
 
Thanks, Infinitum.
 
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