Question

A worker in a grocery store is asked to lift 30 bags of softener salt up onto a shelf that is 1.80 m above the ground. Each bag has a mass of 20 kg. How much work will the worker perform while completing this task?

Answer 1

The worker will perform 10,584 joules of work to lift all 30 bags of softener salt, each weighing 20 kg, onto a shelf that is 1.80 m high.

Step-by-step explanation:

The student is asking about the amount of work a grocery store worker will perform while lifting bags of softener salt to a shelf. To calculate the work done, we use the formula:

Work = force × distance = mass × gravity × height

Given that each bag has a mass of 20 kg, the force due to gravity is approximately 9.8
`m/s^2` (standard gravity), and the height is 1.80 m, we calculate the work for one bag as follows:

Work = 20 kg × 9.8
`m/s^2`× 1.80 m

Work = 352.8 J (joules) per bag

Therefore, lifting 30 bags entails:

Work = 352.8 J/bag × 30 bags = 10,584 J

The worker will perform 10,584 joules of work to lift all 30 bags onto the shelf.