Calculating force nessary to compress spring

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SUMMARY

The discussion centers on calculating the force required to compress a spring using Hooke's Law and Newton's Second Law. Given a mass of 0.12 kg, a spring constant of 30 N/m, and a compression distance of 3.6 cm, the force can be calculated as 10.8 N. Additionally, the resulting deceleration of the mass due to this force is determined to be 90 m/s². The conversation highlights the application of fundamental physics principles in solving real-world problems.

PREREQUISITES
  • Understanding of Hooke's Law
  • Familiarity with Newton's Second Law of Motion
  • Basic knowledge of force, mass, and acceleration calculations
  • Ability to convert units (e.g., cm to m)
NEXT STEPS
  • Study Hooke's Law applications in various mechanical systems
  • Explore advanced topics in dynamics, focusing on force and acceleration
  • Learn about energy stored in springs and potential energy calculations
  • Investigate real-world applications of spring mechanics in engineering
USEFUL FOR

Students studying physics, educators teaching mechanics, and engineers working with spring systems will benefit from this discussion.

nikelberry
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The data for a ball and spring sensor is given below:
mass of ball = 0.12kg
spring constant = 30Nm-1
distance to be compressed = 3.6cm

Calculate the force nessary to compress spring by 3.6cm.
The deceleration which the force in (the 1st question) would cause in a mass of 0.12kg.

i seem to find this question quite tricky, mainly becasue I am not sure of what equation to use!
please me on this one!
 
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What does Hooke's law tell you about springs and Newton's 2nd law tell you about acceleration?
 
yay! i got it! thanks for your help much appreciated!
and that's my homework done!
 

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