Step 1: Understanding the Question:
The question asks for the standard unit for the physical quantity of "Force" within the International System of Units (SI).
Step 2: Key Formula or Approach:
The definition of force comes from Newton's Second Law of Motion:
\[ \text{Force} (F) = \text{mass} (m) \times \text{acceleration} (a) \]
Step 3: Detailed Explanation:
- Definition of the Newton: The SI unit of force is the Newton (symbol: N), named after Sir Isaac Newton. As a derived unit, one Newton is defined as the force required to give a mass of one kilogram an acceleration of one meter per second squared.
- Dimensional Analysis: In terms of SI base units, the Newton is expressed as \( 1 \text{ N} = 1 \text{ kg} \cdot \text{m/s}^2 \).
- Analyzing Incorrect Units:
- Joule (A): This is the SI unit of energy or work, defined as the work done when a force of one newton is applied over one meter (\( 1 \text{ J} = 1 \text{ N} \cdot \text{m} \)).
- Pascal (C): This is the SI unit of pressure, defined as a force of one newton applied over an area of one square meter (\( 1 \text{ Pa} = 1 \text{ N/m}^2 \)).
- Watt (D): This is the SI unit of power, which is the rate of energy transfer, defined as one joule per second (\( 1 \text{ W} = 1 \text{ J/s} \)).
- Importance in Physics: Force is a fundamental concept that describes an interaction that causes a change in an object's motion. Using the correct unit is essential for all calculations in mechanics.
Step 4: Final Answer:
The Newton is the correct SI unit for force, derived from the relationship between mass and acceleration.