You’re sanding a table. You must exert a force of 23 N on the sandpaper to keep it moving steadily across the table’s surface. You slide the paper back and forth for 23 minutes, during which time you move it 1090 m. How much work have you done?
Force x (total distance moved, in either direction)
= 23 * 1090 = ___ joules
It doesn't matter how long it took.
To find the work done, you need to calculate the force exerted multiplied by the distance moved.
Work = Force x Distance
Given:
Force = 23 N
Distance = 1090 m
Work = 23 N x 1090 m
Work = 25070 N·m
Therefore, you have done 25070 N·m of work.
To find the amount of work done, we can use the formula:
Work = Force × Distance
First, we need to convert the time from minutes to hours since work is typically measured in units of force × distance, and time is usually measured in hours. Given that there are 60 minutes in an hour, we can convert 23 minutes to hours:
23 minutes ÷ 60 = 0.3833 hours (rounded to four decimal places)
Now, we can calculate the work done using the formula above:
Work = Force × Distance
= 23 N × 1090 m
= 25070 N·m
Therefore, you have done 25070 N·m of work.