Question

It 20N to move a box, how much power would be needed to move the box a distance of 5 meters in 5 sec

Answer 1

20

Step-by-step explanation:

Power is work done per time and work done is force times distance. The power is found by multiplying the force(20N) and the distance(5m) and dividing the product by the time(5s)

(20*5)/5=20Nm/s OR 20 watts.

Therefore the power needed is 20 watts.

Answer 2

`\boxed {\boxed {\sf 20 \ Watts}}`

Step-by-step explanation:

Power can be found by multiplying the force by the distance, then dividing by time.

`P=(F*d)/(t)`

The force is 20 Newtons. The distance is 5 meters. The time is 5 seconds.

`F=20 \ N \\d= 5 \ m \\t= 5 \ s`

Substitute the values into the formula.

`P=(20 \ N \ * \ 5 \ m)/(5 \ s)`

First, solve the numerator.

• 20 N * 5 m = 100 N*m
• 1 Newton-meter is equal to 1 Joule. Therefore, our answer of 100 N*m is equal to 100 J.

`P=(100 \ J )/(5 \ s )`

Divide.

• 100 J/5 s= 20 J/s
• 1 Joule per second is equal to 1 Watt. Therefore, our answer of 20 J/s is equal to 20 W.

`P=20 \ W`

The power to move the box is 20 Watts.