Question

Two workers unload a 100 kg bed frame from a truck whose bed is 1.04 m above the ground. They carry it up 5 flights of stairs (each flight is 2.5 m tall) to Larry's apartment. When they get there, Larry tells them that he never ordered a bed frame. After some confusion and heated words, the workers take the bed frame back down the stairs and put it back on the truck. Calculate the net work done by the workers on the bed in this process. Report your answer to the nearest

Answer 1

To calculate the net work done by the workers on the bed frame, we need to consider the work done against gravity during the lifting and lowering of the bed. We can use the formula: Work = force x distance. By calculating the work done during lifting and lowering, and then subtracting the work done during lowering from the work done during lifting, we can find the net work done.

Step-by-step explanation:

The net work done by the workers on the bed can be calculated by considering the work done against gravity during the lifting and lowering of the bed frame.

Step 1: Calculate the work done against gravity during the lifting of the bed frame from the truck to Larry's apartment:

Work = force x distance

Force = weight of the bed frame = mass x gravitational acceleration

Distance = height of the truck bed + 5 flights of stairs

Substitute the given values into the formula to calculate the work done during lifting.

Step 2: Calculate the work done against gravity during the lowering of the bed frame from Larry's apartment back to the truck:

For lowering, the distance is negative (-height of the truck bed - 5 flights of stairs)

Substitute the given values into the formula to calculate the work done during lowering.

Step 3: Calculate the net work done by subtracting the work done during lowering from the work done during lifting.

Net Work = Work (lifting) - Work (lowering)

Substitute the calculated values from step 1 and step 2 into the formula to obtain the net work done by the workers on the bed frame.