In a closed system consisting of a cannon and a cannonball, the kinetic energy of a cannon is 72,000 J. If the cannonball is 18 kg and has a velocity of 23 m/s when fired from the cannon, what is the total kinetic energy of the system?(1 point) Responses J 76,761 J 71,793 J 72,207 J 67,239 J
The kinetic energy of the cannonball can be calculated as (1/2)mv², where m is the mass of the cannonball and v is its velocity.
The kinetic energy of the cannonball is therefore (1/2)(18 kg)(23 m/s)² = 9834 J.
The total kinetic energy of the system is the sum of the kinetic energy of the cannon and the kinetic energy of the cannonball.
Total kinetic energy = 72,000 J + 9834 J = 81,834 J.
Therefore, none of the given options match the correct answer.