Force and Work Relationships Quick Check

Question

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Question
A 8.43-Newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. What is the value of the mystery displacement?(1 point)
Responses

368 m
368 m

3170 m
3170 m

384 m
384 m

44.6 m
44.6 m
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Answer 1

To find the displacement when the force and work done are known, you can use the formula for work:

\[ \text{Work} = \text{Force} \times \text{Displacement} \]

Rearranging the formula to solve for displacement gives us:

\[ \text{Displacement} = \frac{\text{Work}}{\text{Force}} \]

Given:

• Work = 376 Joules
• Force = 8.43 Newtons

Now, substitute the values into the formula:

\[ \text{Displacement} = \frac{376 , \text{J}}{8.43 , \text{N}} \]

Calculating this:

\[ \text{Displacement} \approx \frac{376}{8.43} \approx 44.6 , \text{m} \]

The mystery displacement is approximately 44.6 m.

So the correct response is:

44.6 m