High School

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Calculating Work and Power

a. How much work is performed when you push a couch with a mass of 44 kg a distance of 2.5 m using a force of 135 N?

Answer :

To solve this problem, we need to calculate the work done when pushing a couch. The formula to calculate work is:

[tex]\[ \text{Work} = \text{Force} \times \text{Distance} \][/tex]

Let's go through the steps:

1. Identify the Force: You are applying a force of 135 Newtons (N) to push the couch.

2. Determine the Distance: The couch is being pushed a distance of 2.5 meters (m).

3. Calculate the Work: Use the formula for work to find the result.

- Plug in the values:
[tex]\[
\text{Work} = 135 \, \text{N} \times 2.5 \, \text{m}
\][/tex]

- Calculate the result:
[tex]\[
\text{Work} = 337.5 \, \text{Joules}
\][/tex]

So, the work performed when you push the couch is 337.5 Joules.

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