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Force conversion: choose the equivalent value of one newton (N) expressed in kilogram-force (kgf).

Difficulty: Easy

Correct Answer: 0.10197 kgf

Explanation:


Introduction / Context:
Although the S.I. unit of force is the newton, legacy engineering literature frequently uses kilogram-force (kgf). Knowing the exact relationship helps convert test data, nameplate values, and historical problems to S.I. without confusion.


Given Data / Assumptions:

  • 1 kgf is defined as the weight of a 1 kg mass under standard gravity g0 ≈ 9.80665 m/s^2.
  • Therefore 1 kgf = 9.80665 N.
  • We seek 1 N in kgf.


Concept / Approach:
Use the reciprocal relationship: if 1 kgf = 9.80665 N, then 1 N = 1 / 9.80665 kgf ≈ 0.10197 kgf. Precision to five significant digits is common in standards and is more than sufficient for most calculations.


Step-by-Step Solution:

Start with: 1 kgf = 9.80665 N.Invert both sides: 1 N = 1 / 9.80665 kgf.Compute: 1 / 9.80665 ≈ 0.10197 kgf.


Verification / Alternative check:

Cross-check the inverse: 0.10197 kgf * 9.80665 N/kgf ≈ 1.00000 N (rounding error only).


Why Other Options Are Wrong:

0.20197 kgf and 0.97125 kgf: inconsistent with the exact reciprocal; far too large.9.80665 kgf: equals ~96.2 N, not 1 N.0.00981 kgf: off by a factor of ~10.


Common Pitfalls:

Confusing mass (kg) with force (kgf); interchanging g and 1/g.Using 9.81 vs 9.80665 without tracking significant figures.


Final Answer:

0.10197 kgf
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