Solve Mass & Energy Homework: Find Max Stretch & Amplitude

[Quantum Fizzics]

Homework Statement

Hello, I'm having an issue with a question I have all the numbers and everything but I can't quite get the answer correctly and its very frustrating..

A mass, m is held at UEP of a vertical spring constant k & allowed to fall. Calculate:
a) The maximum stretch(max bottom)
b) The amplitude of vibration

Homework Equations

PEg + PEe + KE= PEg' +PEe'+ KE'
h = xo = mg/k

The Attempt at a Solution

I've solved the amplitude of vibration already I am just stuck at part a) I really do not know how start please help thanks

 

[haruspex]

You've quoted the right equations - just fill in the blanks: in terms of the desired unknown, what are the loss in gravitational PE, the gain in spring PE, and the change in KE?

 

[Maged Saeed]

about maximum stretch
I'm not sure but I think I think that depends on the spring ,,
If it is in equilibrium after falling we will use the laws of conservation of energy ,
If it is not "say it is oscillating" we shall use Newton second law , because in oscillation , we can't specify the final and initial positions of the string [it would go back farther than it's initial position when it's allowed to fall]

I'm I right ??

 

[haruspex]

about maximum stretch
I'm not sure but I think I think that depends on the spring ,,
If it is in equilibrium after falling we will use the laws of conservation of energy ,
If it is not "say it is oscillating" we shall use Newton second law , because in oscillation , we can't specify the final and initial positions of the string [it would go back farther than it's initial position when it's allowed to fall]

I'm I right ??

No, it's not the stretch at equilibrium we want, it's the maximum stretch, and that occurs once in each oscillation.

 

[HalfLostAndSearching]

Hello, it looks like you are trying to solve a problem involving a mass, a vertical spring, and potential and kinetic energy. To find the maximum stretch (or maximum displacement from equilibrium) of the spring, you can use the equation h = xo = mg/k. This equation represents the equilibrium position (xo) of the mass, which is determined by the downward force of gravity (mg) and the upward force of the spring (k). To find the maximum stretch, you can substitute the values for m and k into the equation and solve for h. Once you have the maximum stretch, you can use this value to determine the amplitude of vibration, which is half the maximum stretch. I hope this helps! If you are still having trouble, please provide more information about the specific numbers and values you are working with so I can offer more specific guidance.