Calculating velocity or acceleration

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SUMMARY

The discussion focuses on calculating the velocity of a marble launched from a catapult, specifically a ballista design. The key formula used is the potential energy of the spring, expressed as U=(1/2)kx², where k is the spring constant and x is the compression distance. This potential energy is then equated to kinetic energy, E(k)=(1/2)mv², allowing for the calculation of the marble's initial velocity. By substituting the known values of k, x, and m, users can determine the velocity of the marble upon launch.

PREREQUISITES
  • Understanding of potential energy and kinetic energy concepts
  • Familiarity with Hooke's Law and spring constants
  • Basic knowledge of algebra for manipulating equations
  • Experience with physics principles related to motion
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  • Research the application of Hooke's Law in real-world scenarios
  • Learn about energy conservation principles in physics
  • Explore advanced projectile motion equations
  • Investigate methods for measuring velocity in experimental setups
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Students in physics, educators teaching mechanics, and hobbyists building catapults or similar devices will benefit from this discussion.

newton2008
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for our physics project we had to build a catapult
and our group built a kind of ballista.. if u don't know what that is it's a type of catapult that shoots out the object instead of launching it like a see-saw
so our catapult is hooked up to a spring which you pull back.. then release it to launch a marble through a pipe
but we need to find the velocity of our marble when it's launched
how am i supposed to do that?

i'm thinking i could use the spring constant somehow.. but i don't have any ideas on how to apply it

any help appreciated guys :)
 
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Potential energy from a spring is calculated by the formula U=(1/2)kx^2, where k is the spring constant, and x is the change in the length of the spring.

Plug in the values for k and x and you have a value in Joules. Then set that as equal to E(k)=(1/2)mv^2, where m is mass, and v is velocity.

Voila, you have the initial velocity!
 
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