Definition of the SI unit of force What is the name of the SI unit of force defined as the force which produces an acceleration of 1 m/s^2 when applied to a mass of 1 kg?

Introduction / Context:
Units in mechanics must be clearly distinguished between force, work/energy, and pressure. The International System of Units (SI) defines the unit of force via Newton’s second law.

Given Data / Assumptions:

• Mass m = 1 kg.
• Acceleration a = 1 m/s^2.
• Use SI base units and derived units.

Concept / Approach:

From Newton’s second law, F = m * a. The derived SI unit of force is the Newton (N), where 1 N = 1 kg * 1 m/s^2. Other named units belong to different systems (CGS) or different physical quantities (energy or pressure).

Step-by-Step Solution:

Verification / Alternative check:

Dimensional analysis: [Force] = M L T^-2; substituting kg, m, s reproduces the Newton unit dimensions.

Why Other Options Are Wrong:

Dyne and erg are CGS units (1 dyne = 1 g·cm/s^2; 1 erg = 1 dyne·cm). Joule is SI unit of work/energy, not force. Pascal is SI unit of pressure (N/m^2).

Common Pitfalls:

Confusing energy (Joule) with force; mixing SI with CGS unit names.

Final Answer:

Newton