How Does Initial Velocity Direction Affect Spring Motion Velocities?

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SUMMARY

The discussion focuses on the effects of initial velocity direction on spring motion velocities, specifically comparing upward and downward initial velocities (v0). When the spring is released with an upward initial velocity, it achieves a maximum velocity (v1) that is greater than the maximum velocity (v2) achieved when released with a downward initial velocity. The maximum velocity occurs at the midpoint of the spring's path, confirming that the initial kinetic energy (KE) and potential energy (PE) play crucial roles in determining these velocities.

PREREQUISITES
  • Understanding of spring dynamics and Hooke's Law
  • Basic principles of kinetic energy (KE) and potential energy (PE)
  • Knowledge of motion equations in physics
  • Familiarity with concepts of maximum velocity in oscillatory motion
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  • Study the relationship between initial kinetic energy and maximum velocity in oscillatory systems
  • Explore the effects of different initial conditions on spring motion using simulations
  • Learn about energy conservation principles in mechanical systems
  • Investigate the role of damping in spring motion and its impact on velocity
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Physics students, mechanical engineers, and anyone interested in the dynamics of oscillatory systems and energy transformations in springs.

hughes
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-The spring is stretched down and released with an initial velocity (v0) in the upward direction. The maximum velocity it reaches is v1.
-The spring is stretched down and released with an initial velocity (v0) in the downward direction. The maximum velocity it reaches is v2.

Rank the velocities. I said it was v1>v2>v1. The maximum velocity is reached at the middle of the path, and it is in the upward direction. I know I'm wrong; I just don't know how.
 
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What are the initial KE and PE of the spring? At what height is the KE maximum? Can be the velocity both upward and downward at that point?

ehild
 

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