Newton's Second Law of Motion
This fundamental law ties these three concepts together:
* Force (F) = Mass (m) × Acceleration (a)
Explanation:
* Force (F): The push or pull that causes a change in motion. Measured in Newtons (N).
* Mass (m): The amount of matter in an object. Measured in kilograms (kg).
* Acceleration (a): The rate of change of velocity. Measured in meters per second squared (m/s²).
Key Points:
* Direct Proportionality: Force is directly proportional to both mass and acceleration. This means if you increase the mass or the acceleration, the force will increase proportionally.
* Vector Quantities: Force, acceleration, and velocity are all vector quantities. They have both magnitude (size) and direction.
Example:
Let's say you have a 10 kg object (m = 10 kg) and you apply a force of 50 Newtons (F = 50 N). To calculate the resulting acceleration (a), you'd use the formula:
```
a = F / m = 50 N / 10 kg = 5 m/s²
```
This means the object would accelerate at a rate of 5 meters per second squared.