Final answer:
The power required to exert a 6-N force over 7 meters in 4 seconds is 10.5 Watts. The force required to push a crate 9 meters across the floor is 1 N.
Step-by-step explanation:
In order to calculate power, we use the formula:
Power = Work / Time
Given that a force of 6 N is exerted over a distance of 7 m in 4 seconds, we can calculate the work done using the formula:
Work = Force * Distance
Work = 6 N * 7 m = 42 J
Now, we can substitute the values into the power formula:
Power = 42 J / 4 s = 10.5 W
Therefore, the power required to exert the 6-N force over 7 meters in 4 seconds is 10.5 Watts.
For the second part of the question, if 9 J is required to push a crate 9 m across the floor, we can calculate the force applied using the formula:
Work = Force * Distance
9 J = Force * 9 m
Therefore, the force required to push the crate is 1 N.