Final answer:
To calculate the power output of a shot-putter, we need to determine the work done on the shot and divide it by the time taken.
Step-by-step explanation:
For the given question, we are asked to calculate the power output of a shot-putter who takes 1.20 s to accelerate the 7.27-kg shot from rest to 14.0 m/s, while raising it 0.800 m. Power is defined as the rate at which work is done or energy is transferred. To calculate power, we first need to determine the work done on the shot, which can be found using the equation Work = Force x Distance. The force can be found using Newton's second law F = ma, where 'm' is the mass of the shot and 'a' is the acceleration. In this case, the acceleration is the change in velocity divided by the time taken, which gives us a = (14.0 m/s - 0 m/s) / (1.20 s). Once we have the force, we can calculate the work done by multiplying it by the distance the shot was raised. Finally, we can divide the work done by the time taken to find the power output of the shot-putter.