Maximizing Distance Traveled with 1200 Joules of Fuel in a Potato Cannon

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SUMMARY

The discussion focuses on constructing a potato cannon that maximizes the distance traveled by a potato using 1200 joules of energy as fuel. Key equations mentioned include work (W=FD), pressure (P=P+ρgh), and force (F=ma), which are essential for determining the optimal dimensions of the cannon. The design involves a long PVC pipe with a fuel chamber, but specific dimensions for the pipe length and chamber size are not provided. Participants are encouraged to apply kinematics formulas to refine their design for maximum efficiency.

PREREQUISITES
  • Understanding of basic physics principles, including work and energy.
  • Familiarity with kinematics and force equations.
  • Knowledge of fluid dynamics, particularly pressure calculations.
  • Experience with constructing simple mechanical devices, such as a PVC cannon.
NEXT STEPS
  • Research optimal PVC pipe lengths for projectile motion in cannon design.
  • Learn about energy transfer efficiency in pneumatic systems.
  • Explore the effects of chamber volume on projectile velocity.
  • Investigate advanced kinematics techniques for projectile trajectory analysis.
USEFUL FOR

Physics students, hobbyists interested in DIY projects, and engineers looking to understand energy transfer in mechanical systems will benefit from this discussion.

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Homework Statement



We are given an amount perfume, that has an energy level amounting to 1200 joules. Using this as the fuel, i need to build a potato cannon. How can i build the cannon to maximize the distance the potato travels when shot with this amount of fuel?

Homework Equations



W=FD
P=P+ρgh
F=ma
Kinematics formulas
F=PA


The Attempt at a Solution



The cannon will consist of a long pvc pipe with a chamber at one end to hold the fuel, but i don't know how long to make the pipe or how big to make the chamber. the size of the potato won't matter because I am going to sharpen the end of the pipe so the potato will fit in no matter what. I am not sure where to start. Any help would be great. Thanks.
 
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oh and those arent all of the equations needed. there might be others but i forgot about them
 

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