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Look at the symbol equation below. What are the units for s? Give the name, not the symbol.W = F s

Question

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Solution

1. ### Break Down the Problem

To find the units for s s in the equation W=Fs W = F \cdot s , we need to identify the units for work (W W ) and force (F F ).

2. ### Relevant Concepts

  • Work (W W ) is measured in joules.
  • Force (F F ) is measured in newtons.

3. ### Analysis and Detail

Using the equation W=Fs W = F \cdot s , we can rearrange it to solve for s s :

s=WF s = \frac{W}{F}

Given that:

  • The unit of work W W is joules (J).
  • The unit of force F F is newtons (N).

Recalling the relationships:

  • 1 joule is equivalent to 1 newton meter (1 J = 1 N·m).

4. ### Verify and Summarize

Substituting the units into our rearranged equation:

s=joulesnewtons=N\cdotpmN=meters s = \frac{\text{joules}}{\text{newtons}} = \frac{\text{N·m}}{\text{N}} = \text{meters}

Thus, the unit for s s is confirmed.

Final Answer

The unit for s s is meters.

This problem has been solved

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