Jet Catapult Work: Calculate Kinetic Energy & Work Done

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SUMMARY

The discussion focuses on calculating the work done on a fighter jet launched from an aircraft carrier using a steam-powered catapult. The thrust of the jet's engines is 2.3x10^5 N, and it travels a distance of 87 m, achieving a kinetic energy of 4.5x10^7 J at lift-off. The relevant equations include W = Fd, Ek = 1/2mv^2, and W = Ekf - Eki. The key challenge identified is the absence of the jet's mass, which is necessary to apply the kinetic energy formula effectively.

PREREQUISITES
  • Understanding of Newton's Second Law and force calculations
  • Familiarity with kinetic energy equations
  • Basic knowledge of work-energy principles
  • Ability to manipulate algebraic equations for problem-solving
NEXT STEPS
  • Calculate the mass of the jet using the kinetic energy formula Ek = 1/2mv^2
  • Explore the implications of thrust and work done in mechanical systems
  • Investigate the relationship between work, force, and distance in physics
  • Learn about energy conservation principles in mechanical launches
USEFUL FOR

Physics students, aerospace engineers, and anyone interested in understanding the dynamics of jet propulsion and mechanical work in aviation contexts.

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Homework Statement


A fighter jet is launched from an aircraft carrier with the aid of its own engines and a steam powered catapult. The thrust of its engines is 2.3x10^5 N. In being launched from rest it moves through a distance of 87 m and has a kinetic energy of 4.5x10^7 at lift off. What is the work done on the jet by the catapult


Homework Equations


W= Fd
Ek= 1/2mv^2
W= Ekf - Eki

The Attempt at a Solution


It is clear I need to determine the velocity either from the kinetic energy formula or use it in the 3rd formula to determine the total work ad subtract the thrust of the engines, but what's throwing me off is that the mass is not given and it seems i need it to use these formulae.
 
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The final KE is given, so do you need to know the mass? Use your third equation, then what?
 

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