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

71,793 J
71,793 J

72,207 J
72,207 J

76,761 J
76,761 J

67,239 J

1 answer

To find the total kinetic energy of the system, we need to add the kinetic energy of the cannon and the kinetic energy of the cannonball.

The kinetic energy of the cannonball can be calculated using the formula: KE = 0.5 * mass * velocity^2
KE = 0.5 * 18 kg * (23 m/s)^2
KE = 0.5 * 18 kg * 529 m^2/s^2
KE = 0.5 * 9522 kg.m^2/s^2
KE = 4761 J

Adding the kinetic energy of the cannon and the cannonball, we get:
Total kinetic energy = 72,000 J + 4,761 J = 76,761 J

Therefore, the correct answer is 76,761 J.