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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 

Respuesta :

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To solve this we are going to use the formula for work: [tex]W=Fd[/tex]
where
[tex]W[/tex] is the work done
[tex]F[/tex] is the force 
[tex]d[/tex] is the distance 

Scenario A. We know for our problem that [tex]F=15N[/tex] and [tex]d=3m[/tex]. Lets replace those values in our formula to find [tex]W[/tex]:
[tex]W=15N*3m[/tex]
[tex]W=45J[/tex]

Scenario B. We know for our problem that [tex]F=12N[/tex] and [tex]d=4[/tex]. Lest replace those value in our formula:
[tex]W=12N*4m[/tex]
[tex]W=48J[/tex]

Scenario C. We know for our problem that [tex]F=10N[/tex] and [tex]d=6m[/tex]. Lets replace the values in our formula:
[tex]F=10N*6m[/tex]
[tex]F=60J[/tex]

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

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

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