In the S.I. system used in engineering mechanics, identify the correct base unit for force (as used in F = m * a).

Difficulty: Easy

Correct Answer: Newton

Explanation:


Introduction / Context:
Force is one of the most fundamental quantities in mechanics. In the S.I. (International System of Units), consistent unit selection is crucial so that equations like F = m * a remain dimensionally correct and easy to apply across engineering problems ranging from structural analysis to fluid mechanics and machine design.


Given Data / Assumptions:

  • The S.I. base unit of mass is kilogram (kg) and of length is metre (m).
  • Acceleration is measured in m/s^2.
  • Force is defined by Newton’s second law: F = m * a.
  • Energy and work use different units than force, even though they are related concepts.


Concept / Approach:
From Newton’s second law, force must carry units kg * m/s^2. The S.I. assigns a special name to this derived unit: the newton (symbol N). One newton is the force required to accelerate a mass of 1 kg at 1 m/s^2. Distinguishing force (newton) from energy (joule) and mass (kilogram) prevents common dimensional mistakes in calculations and design checks.


Step-by-Step Solution:

Write the governing relation: F = m * a.Insert S.I. units: m → kg; a → m/s^2; therefore F units → kg * m/s^2.Recognize that kg * m/s^2 is named “newton” (N) in the S.I. system.


Verification / Alternative check:

Check dimensional homogeneity in common formulas (e.g., work W = F * s has units N * m = joule), confirming that newton is a force unit distinct from joule (energy).


Why Other Options Are Wrong:

Kilograms: unit of mass, not force.Joule: unit of energy/work (N * m), not force.Erg: cgs unit of energy (1 erg = 10^-7 J), not S.I. force.Watt: unit of power (J/s), not force.


Common Pitfalls:

Confusing kilograms-force (kgf) with kilogram (mass) or with newton; in S.I., force should be expressed in newtons.Using energy units (J) when a force value (N) is required.


Final Answer:

Newton

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