A traveler takes a trip with a reluctant pack mule. He finds that he has to exert a constant 470 N horizontal force on the mule to keep the mule moving at a constant speed of 0.9 m/s for a distance of 1.8 km across a horizontal plane. Compute the amount of work the (now exhausted) traveler did on this mule during this trip.
To compute the amount of work done on the mule, you need to use the following formula:
Work = Force x Distance x cos(theta)
In this case, the force applied is the horizontal force of 470 N, the distance is 1.8 km (which needs to be converted to meters), and theta is the angle between the applied force and the displacement (which is 0 degrees in this case since the force is applied horizontally).
First, let's convert the distance from kilometers to meters:
1 km = 1000 m
So, 1.8 km = 1.8 x 1000 m = 1800 m
Now, we can calculate the work:
Work = 470 N x 1800 m x cos(0)
Work = 470 N x 1800 m x 1
Work = 846,000 Joules (J)
Therefore, the amount of work done by the traveler on the mule during this trip is 846,000 Joules (J).