Calculating Work for a Fired Projectile

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SUMMARY

The discussion centers on calculating the work done in firing a 4 kg projectile with an initial velocity of 40 m/s at a 30-degree angle. The participant initially calculated the work as 5542 J but later noted that the correct answer is 3200 J. The work done is determined by the change in kinetic energy, which is calculated using the formula for kinetic energy: KE = 0.5 * mass * velocity^2.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of kinetic energy
  • Basic knowledge of trigonometry for angle calculations
  • Ability to perform unit conversions and calculations
NEXT STEPS
  • Review the kinetic energy formula: KE = 0.5 * m * v^2
  • Learn about the work-energy principle in physics
  • Study projectile motion and its components
  • Explore energy conservation in mechanical systems
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of work and energy in projectile motion.

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Homework Statement


a 4kg projectile is fired on Earth with intiial velocity 40m/s at an angle of 30 degrees to the horizontal. what work was done in firing the projectile?


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The Attempt at a Solution


I got 5542 J. Answer is suppsoedly 3200J
 
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The work done is the change in kinetic energy. The mass goes from 0 to 40 m/s. So the change in kinetic energy is?
 

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