Final answer:
The power used is 84.6 watts when a force of 564 N is applied over a distance of 3 meters for a period of 20 seconds.
Step-by-step explanation:
To calculate how much power is used when a force of 564 N is applied over a distance of 3 meters in 20 seconds, we need to first determine the work done and then the power. The work done, W, is the product of the force and the distance moved in the direction of the force.
W = F × d
W = 564 N × 3 m
W = 1692 J
Now, power is the rate at which work is done, which means we divide the total work by the time in seconds to find the power (P).
P = W / t
P = 1692 J / 20 s
P = 84.6 W
Therefore, the power used is 84.6 watts when a force of 564 N is applied over 3 meters for a duration of 20 seconds.