Help with this problem about a mass oscillating on a spring

AI Thread Summary
The discussion centers on a mass attached to a spring and the calculations of potential energy (PE) and kinetic energy (KE) at various positions. Participants are prompted to determine the minimum work needed to move the mass from its equilibrium position to a specified displacement, as well as the energy states at different points during its oscillation. Key questions include the energy values at x=0, x=x0/2, and x=-x0/2, along with the maximum negative displacement. The thread emphasizes the necessity of showing initial efforts and relevant equations before receiving further assistance. Understanding Hooke's law and energy conservation principles is crucial for solving these problems.
wobblegobble
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Homework Statement
hooke's
Relevant Equations
displacement = x
force of spring -> mass (M) = F = -kx
A mass (M) is attached to a spring (K). Mass moves in a one dimensional plane (horizontally)
1) If mass M is initially at x=0, what is the minimum Work required to bring it to x=x0 ? PE ?
2) M is released from x=x0, PE when x=xo/2 ? KE ?
3) PE when x=0 ? KE ?
4) PE when x=-x0/2 ? KE ?
5) What is the largest negative x value will become ? PE ? KE ?

velocity is not nessesary to find for 2,3,4
 
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Welcome to the PF. :smile:

wobblegobble said:
Homework Statement:: hooke's
Relevant Equations:: displacement = x
force of spring -> mass (M) = F = -kx

A mass (M) is attached to a spring (K). Mass moves in a one dimensional plane (horizontally)
1) If mass M is initially at x=0, what is the minimum Work required to bring it to x=x0 ? PE ?
2) M is released from x=x0, PE when x=xo/2 ? KE ?
3) PE when x=0 ? KE ?
4) PE when x=-x0/2 ? KE ?
5) What is the largest negative x value will become ? PE ? KE ?

velocity is not nessesary to find for 2,3,4
We require that you show your best efforts to work on this problem before we can provide tutorial help.

Please post the rest of the Relevant Equations, and start to use them to answer these questions. Thank you. :smile:
 
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