Spring Displacement by Adding Mass

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SUMMARY

The discussion centers on calculating the vertical displacement of a spring with a spring constant of 56 N/m when a mass of 2.1 kg is applied. The equation used is derived from Hooke's Law, represented as mg = -kx. The calculated displacement is approximately 0.367875 meters, confirming that the setup of the equation is correct.

PREREQUISITES
  • Understanding of Hooke's Law
  • Basic knowledge of gravitational force calculations
  • Familiarity with spring constants
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the implications of varying spring constants in different materials
  • Explore the effects of additional mass on spring displacement
  • Learn about energy stored in springs using potential energy equations
  • Investigate real-world applications of springs in engineering
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Students in physics, mechanical engineers, and anyone interested in understanding the mechanics of springs and forces acting on them.

woaini
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Homework Statement



A spring hanging vertically has a spring constant of 56 N/m. When 2.1kg is hung from it, what is its vertical displacement?

k=56
m=2.1
x=?
g=9.81

Homework Equations



mg = -kx

The Attempt at a Solution



-x = (2.1*9.81)/56 = 0.367875m

Did I setup the equation correctly?
 
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