Questions: A Newton equals kg m/s^2

Transcript text: A Newton equals kg m/s^2

Solution

Solution Steps

Step 1: Understanding the Definition of a Newton

A Newton is the unit of force in the International System of Units (SI). It is defined as the force required to accelerate a one-kilogram mass by one meter per second squared.

Step 2: Expressing the Definition Mathematically

The mathematical expression for force \( F \) is given by Newton's second law of motion: \[ F = m \cdot a \] where \( m \) is mass in kilograms (kg) and \( a \) is acceleration in meters per second squared (m/s\(^2\)).

Step 3: Identifying the Correct Unit

Substituting the units into the formula, we have: \[ \text{Newton} = \text{kg} \cdot \text{m/s}^2 \]