Average Force Calculator

Formula

To calculate the average force (\(F\)):

\[ F = \frac{m \times (Vf - Vi)}{t} \]

Where:

\(F\) is the average force (N)
\(m\) is the mass (kg)
\(Vf\) is the final velocity (m/s)
\(Vi\) is the initial velocity (m/s)
\(t\) is the time (s)

Average Force Definition

Force is an interaction that causes a change in motion of an object. In other words, a force applied to an object causes that object to change in velocity. Note that this is a change in velocity, not just a change in position. Objects can change position when under a constant velocity but with no force. The average force more specifically is the average amount of force that would have been applied to a certain object to increase its speed from an initial to final velocity over a given time. In reality, the force may have been variable, but the result would be the same with the calculated average force.

Example Calculation 1

Let's assume the following values:

Mass (\(m\)) = 10 kg
Final Velocity (\(Vf\)) = 20 m/s
Initial Velocity (\(Vi\)) = 0 m/s
Time (\(t\)) = 5 s

Using the formula:

\[ F = \frac{10 \times (20 - 0)}{5} = \frac{200}{5} = 40 \text{ N} \]

The average force is 40 N.

Example Calculation 2

Let's assume the following values:

Mass (\(m\)) = 5 kg
Final Velocity (\(Vf\)) = 15 m/s
Initial Velocity (\(Vi\)) = 5 m/s
Time (\(t\)) = 2 s

Using the formula:

\[ F = \frac{5 \times (15 - 5)}{2} = \frac{50}{2} = 25 \text{ N} \]

The average force is 25 N.