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

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.

Answer 2

Answer:

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