Spring launcher equation to find x

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SUMMARY

The forum discussion centers on calculating the distance a spring must be pulled back to hit a target after being launched at an angle. The spring's mass is 0.04012 kg, with a spring constant (k) of 26 N/m, launched from a height of 0.48 m to a target 4 m away. The key equations discussed include the relationship between elastic potential energy and kinetic energy, specifically the equation x = √((dmg)/(2k*sinΘ*cosΘ)), which was verified by users during their experiments. The discussion emphasizes the importance of considering both gravitational potential energy and the spring's energy during the launch phase.

PREREQUISITES
  • Understanding of elastic potential energy and kinetic energy principles
  • Familiarity with projectile motion and kinematics
  • Knowledge of the spring constant and its implications in physics
  • Ability to manipulate and derive equations symbolically
NEXT STEPS
  • Study the derivation of the equation x = √((dmg)/(2k*sinΘ*cosΘ)) in detail
  • Learn about the conservation of energy in projectile motion scenarios
  • Explore the application of SUVAT equations in solving kinematic problems
  • Investigate the effects of gravitational potential energy on projectile trajectories
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Students in physics, particularly those studying mechanics and energy conservation, as well as educators looking for practical examples of spring dynamics and projectile motion calculations.

  • #31
My compliments to teacher for coming up with such a simple but physicswise rich experiment !
 

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