Kinetic energy of a projectile (velocity and time are not given)

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SUMMARY

The discussion focuses on calculating the kinetic energy of a projectile and the recoil velocity of an antiaircraft cannon with a mass of 3 tons and a projectile mass of 2 kg. The maximum horizontal distance of 4 km is provided, which allows for the determination of the initial velocity using the formula for projectile motion at a launch angle of 45°. The user is directed to HyperPhysics for further details on the trajectory calculations necessary to solve the problem.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinetic energy calculations
  • Knowledge of basic physics formulas related to velocity and range
  • Ability to interpret data from physics resources like HyperPhysics
NEXT STEPS
  • Calculate the initial velocity of the projectile using the maximum range formula
  • Determine the kinetic energy of the projectile using the formula KE = 0.5 * m * v^2
  • Calculate the recoil velocity of the cannon using conservation of momentum principles
  • Explore projectile motion at different launch angles for comparative analysis
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding projectile motion and energy calculations in mechanics.

user2
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Homework Statement


Hi!
Task is to calculate kinetic energy of a projectile and cannon recoil velocity.

known data:
-mass of antiaircraft cannon: 3t
-max horizontal distance: 4km
-mass of a projectile 2kg
barrels: 2

The Attempt at a Solution


Since there is no initial velocity or time or max height given i can't find a way to start this.
 
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user2 said:

Homework Statement



Task is to calculate kinetic energy of a projectile and cannon recoil velocity.

known data:
-mass of antiaircraft cannon: 3t
-max horizontal distance: 4km
-mass of a projectile 2kg
barrels: 2

The Attempt at a Solution


Since there is no initial velocity or time or max height given i can't find a way to start this.
Welcome to PF User2!

You can find the initial velocity from the maximum range (which is maximum for a launch angle of 45°). See:http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html#tra4

AM
 

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