Help with this problem about a mass oscillating on a spring

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SUMMARY

The discussion centers on the mechanics of a mass-spring system, specifically analyzing the potential energy (PE) and kinetic energy (KE) at various positions of the mass (M) attached to a spring (K). Key equations include Hooke's Law, represented as F = -kx, which governs the force exerted by the spring. The minimum work required to move the mass from x=0 to x=x0 is directly related to the potential energy at that position. The conversation emphasizes the need for users to demonstrate their understanding of the relevant equations before receiving further assistance.

PREREQUISITES
  • Understanding of Hooke's Law and its application in spring mechanics
  • Knowledge of potential energy (PE) and kinetic energy (KE) concepts
  • Familiarity with the principles of work in physics
  • Basic algebra for manipulating equations related to mass-spring systems
NEXT STEPS
  • Study the derivation of potential energy in spring systems using PE = 1/2 kx²
  • Explore the relationship between kinetic energy and velocity in oscillating systems
  • Investigate the concept of maximum displacement and its implications in mass-spring dynamics
  • Learn about energy conservation in oscillatory motion and its applications
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to enhance their understanding of mass-spring systems.

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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