178k views
4 votes
Calculate the power required to exert a 6-N force over 7 meters in 4 seconds. About 9 J is required to push a crate 9 m across a floor. If the push is in the same direction as the motion of the crate, calculate the force on the crate.

User Cutteeth
by
7.4k points

1 Answer

2 votes

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.

User Raja Vikram
by
8.1k points