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Find the scale of force when [tex]F = 400 \, \text{N}[/tex] and [tex]L_{MN} = 9.49 \, \text{mm}[/tex].

A. 42 N/m
B. 42 N/mm
C. 42.2 N/m
D. 42.2 N/mm

Answer :

Final answer:

To find the scale of force, we divide the given force (400N) by the length (9.49mm) for each scale. The scale matches best with option b. 42N/mm.

Explanation:

The question is about finding the scale of force. The scale of force is determined by the value of force per unit length. In this case, we have force (F) = 400N and length (L_MN) = 9.49mm. To determine the scale, we simply divide the force by the length.

  • For option a. 42N/m, we first have to convert the millimeters to meters. Thus, L_MN = 9.49mm = 0.00949m. Therefore, F/L_MN = 400N / 0.00949m ≈ 42126.98 N/m, which is not equal to 42N/m.
  • For option b. 42N/mm, the scale of force = F/L_MN = 400N / 9.49mm ≈ 42.15 N/mm, which is approximately equal to 42N/mm.
  • For option c. 42.2N/m again, convert the millimeters to meters. The scale = 400N / 0.00949m ≈ 42126.98 N/m, which is not equal to 42.2N/m.
  • For option d. 42.2N/mm, the scale = F/L_MN = 400N / 9.49mm ≈ 42.15 N/mm, which is approximately but not exactly equal to 42.2N/mm.

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