Question

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Force and Work Relationships Quick Check
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Question
A person raises a box with a weight of 50 newtons by 0.5 meter. How much work does the person do in this action?(1 point)
Responses

25 joules
25 joules

0.01 joule
0.01 joule

0.0 joules
0.0 joules

100 joules

Answer 1

To calculate the work done by the person in raising the box, you can use the formula for work:

\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]

In this case, since the person is lifting the box vertically, the angle \(\theta\) is 0 degrees (which means \(\cos(0) = 1\)).

Given:
- Force (weight of the box) = 50 newtons
- Distance = 0.5 meters

Now, substituting the values into the formula:

\[ \text{Work} = 50 \, \text{N} \times 0.5 \, \text{m} \times 1 \]
\[ \text{Work} = 50 \, \text{N} \times 0.5 \, \text{m} \]
\[ \text{Work} = 25 \, \text{joules} \]

Therefore, the answer is:

**25 joules**