How Does Spring Force Affect an Object's Position?

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SUMMARY

The discussion centers on the application of Hooke's Law and work-energy principles to determine the position of a block in a spring-block system. A force of 78 N is required to hold the block stationary at x = -2.0 cm, and an additional work of +4.0 J is done on the system. Using the equations Fs = -kd and Ws = 1/2kxi^2 - 1/2kxf^2, participants conclude that the block's final position can be calculated by first determining the spring constant (k) and then applying the work-energy theorem. Two possible final positions for the block are identified based on the calculations.

PREREQUISITES
  • Understanding of Hooke's Law (Fs = -kd)
  • Familiarity with work-energy principles in physics
  • Basic algebra for solving equations
  • Knowledge of potential energy in spring systems
NEXT STEPS
  • Calculate the spring constant (k) using Hooke's Law
  • Explore the implications of work done on spring systems
  • Investigate the concept of potential energy in elastic materials
  • Learn about energy conservation in mechanical systems
USEFUL FOR

Physics students, educators, and anyone interested in mechanics, particularly those studying spring dynamics and energy transfer in mechanical systems.

Ben2002
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1. we must apply a force of magnitude 78 N to hold the block stationary at x = -2.0 cm. From that position we then slowly move the block so that our force does +4.0 J of work on the spring-block system; the block is then again stationary. What is the block's position (x)? (There are two answers.)

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2. Fs = -kd (hooke's Law)
Ws=1/2kxi^2 - 1/2kxf^2



3. I am not sure how to use the equations for a spring
 
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First find the spring constant from Hook's law.

ehild
 

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