F = m * a
where:
* F is the net force acting on the mass (in Newtons, N)
* m is the mass (in kilograms, kg)
* a is the acceleration (in meters per second squared, m/s²)
To find the acceleration, rearrange the formula:
a = F / m
Here's how to apply it:
1. Identify the net force acting on the mass: This is the vector sum of all forces acting on the object. Consider forces like gravity, friction, applied forces, etc.
2. Determine the mass of the object: This is usually given in the problem or can be measured.
3. Substitute the values of force and mass into the formula: a = F / m
4. Calculate the acceleration: This will give you the acceleration in meters per second squared.
Example:
Let's say a 5 kg object is pushed with a force of 20 Newtons. What is the acceleration?
1. Net force: F = 20 N
2. Mass: m = 5 kg
3. Substitute: a = 20 N / 5 kg
4. Calculate: a = 4 m/s²
Therefore, the object will accelerate at 4 meters per second squared.
Additional Notes:
* Acceleration is a vector quantity, meaning it has both magnitude and direction. The direction of the acceleration is the same as the direction of the net force.
* If the net force is zero, the object will not accelerate (it will remain at rest or continue moving at a constant velocity).
* This formula is applicable to objects moving in a straight line. For objects moving in a circle, the formula for centripetal acceleration is used instead.