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

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To calculate the kinetic energy of a projectile and the recoil velocity of a cannon, the initial velocity can be derived from the maximum horizontal distance, which is optimal at a launch angle of 45 degrees. The mass of the antiaircraft cannon is 3 tons, and the projectile weighs 2 kg. The maximum range provided is 4 km, which can be used to determine the necessary initial velocity for the projectile. Without initial velocity or time, the calculation cannot proceed without this derived value. Utilizing the maximum range formula is essential for solving the problem effectively.
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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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