Dirk pushes on a packing box with a horizontal force of 67.0 N as he slides it along the floor. The average friction force acting on the box is 5.10 N. How much total work is done on the box in moving it 2.20 m along the floor?
136.18
To find the total work done on the box, we need to calculate the work done by Dirk's applied force and subtract the work done by the frictional force.
The work done by Dirk's applied force can be calculated using the formula:
Work = Force * Distance * Cosine(angle)
In this case, the force applied by Dirk is 67.0 N and the distance moved by the box is 2.20 m. Since Dirk is pushing horizontally, the angle between the force and displacement is 0 degrees, and the cosine of 0 degrees is 1.
So the work done by Dirk's applied force is:
Work = 67.0 N * 2.20 m * Cos(0 degrees)
Now we need to calculate the work done by the frictional force. The work done by a force can be calculated using the formula:
Work = Force * Distance * Cosine(angle)
In this case, the force of friction is 5.10 N and the distance moved by the box is 2.20 m. Since the force of friction is opposite to the direction of motion, the angle between the force of friction and displacement is 180 degrees, and the cosine of 180 degrees is -1.
So the work done by the frictional force is:
Work = -5.10 N * 2.20 m * Cos(180 degrees)
Now we can calculate the total work done on the box by adding the work done by Dirk's applied force and the work done by the frictional force:
Total Work = Work by Applied Force + Work by Frictional Force
Total Work = (67.0 N * 2.20 m * Cos(0 degrees)) + (-5.10 N * 2.20 m * Cos(180 degrees))
Solving this equation will give us the total work done on the box.