How Does Changing Mass and Speed Affect Spring Compression?

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SUMMARY

The discussion centers on the relationship between mass, speed, and spring compression using conservation of energy principles. When the mass of a block is halved and its speed is doubled, the kinetic energy before the collision is analyzed to determine the resulting spring compression. Specifically, the formula for spring compression can be derived from the kinetic energy equation, leading to a definitive conclusion about the effects of these changes on spring compression.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the conservation of energy principle
  • Knowledge of Hooke's Law for springs
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the conservation of energy in elastic collisions
  • Learn about Hooke's Law and its applications in spring mechanics
  • Explore kinetic energy calculations and their implications
  • Investigate the effects of varying mass and velocity on spring systems
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of spring systems and energy conservation principles.

bcalkins
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Question: A block of mass m and speed v collides with a spring, compressing it a distance deltaX. What is the compression of the spring if the mass of the block is halved and its speed is doubled?

I have no idea how to do this problem. If anyone can explain this to me it would be GREATLY appreciated. Thank you!
 
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Have you attempted to use conservation of energy principles?
 

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