Final answer:
Work done on a 60kg cannonball by a 5700 Newton force over a 0.78-meter long barrel is 4446 joules, which is the energy required to bring the cannonball to its final velocity.
Step-by-step explanation:
The question is asking how much work is required to get a 60kg cannonball to its final velocity when it is subjected to an average force of 5700 newtons by the cannon over a 0.78 meter-long barrel. The work done on the cannonball can be found using the work-energy principle which states that the work done on an object is equal to the change in its kinetic energy. The work done by the force can be calculated using the formula:
Work = Force x Distance
Given the force (5700 N) and the distance (0.78 m), we can calculate the work as follows:
Work = 5700 N x 0.78 m
Work = 4446 joules
The 4446 joules is the work needed to accelerate the cannonball to its final velocity as it exits the barrel.