Question

Read each scenario and then answer the questions. Scenario A: A shopping cart is pushed a distance of 3 m by a force of 15 N. Scenario B: A shopping cart is pushed a distance of 4 m by a force of 12 N. Scenario C: A shopping cart is pushed a distance of 6 m by a force of 10 N. Which scenario requires the most work? Which scenario requires the least work?

Answers are C and A

Answer 1

Read each scenario and then answer the questions.

Scenario A: A shopping cart is pushed a distance of 3 m by a force of 15 N.

Scenario B: A shopping cart is pushed a distance of 4 m by a force of 12 N.

Scenario C: A shopping cart is pushed a distance of 6 m by a force of 10 N

Which scenario requires the most work?

• Answer: Scenario C

Which scenario requires the least work?

• Answer: Scenario A

Answer 2

To solve this we are going to use the formula for work:
`W=Fd`
where

`W` is the work done

`F` is the force

`d` is the distance

Scenario A. We know for our problem that
`F=15N` and
`d=3m`. Lets replace those values in our formula to find
`W`:

`W=15N*3m`

`W=45J`

Scenario B. We know for our problem that
`F=12N` and
`d=4`. Lest replace those value in our formula:

`W=12N*4m`

`W=48J`

Scenario C. We know for our problem that
`F=10N` and
`d=6m`. Lets replace the values in our formula:

`F=10N*6m`

`F=60J`

We can conclude that:
- The scenario that requires the most work is C.
- The scenario that requires the least work is A.