Units and dimensions – SI unit of force Identify the correct SI (International System of Units) unit for force used in engineering mechanics.

Difficulty: Easy

Correct Answer: newton

Explanation:


Introduction / Context:
Consistent units are essential in calculations. Force has a specific SI unit tied directly to Newton’s second law, linking mass, acceleration, and force.



Given Data / Assumptions:

  • SI base units: kilogram (kg), meter (m), second (s).
  • Force defined via F = m * a.


Concept / Approach:
In SI, the unit of force is the newton (N), defined as the force required to accelerate a mass of 1 kg at 1 m/s^2, so 1 N = 1 kg·m/s^2.



Step-by-Step Solution:

Start from F = m * a.Insert SI base units: kg for mass and m/s^2 for acceleration.Thus, the derived unit is kg·m/s^2, named the newton (N).


Verification / Alternative check:
Compare with other systems: in the cgs system, the unit of force is the dyne where 1 dyne = 1 g·cm/s^2 = 10^-5 N, confirming that dyne is not the SI unit.



Why Other Options Are Wrong:

  • dyne: cgs unit, not SI.
  • kilogram: SI base unit of mass, not force.
  • watt: SI unit of power (J/s), not force.


Common Pitfalls:
Mixing cgs and SI units in the same problem leads to magnitude errors by factors of 10^n.



Final Answer:
newton

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