Momentum with Time Force Calculator

What is Momentum, Force, and Time?

Momentum, force, and time are fundamental concepts in physics that describe the motion and interaction of objects. Momentum is a measure of the motion of an object, combining its mass and velocity. Force is any interaction that, when unopposed, will change the motion of an object. Time is the duration over which a force acts on an object, causing a change in its momentum.

Formula

The relationship between momentum, force, and time is expressed by the impulse-momentum theorem:

\[ \Delta p = F \Delta t \]

Where:

• \(\Delta p\) is the change in momentum (measured in kg⋅m/s)
• \(F\) is the average force applied (measured in N)
• \(\Delta t\) is the time interval over which the force is applied (measured in s)

Calculation Steps

Let's calculate the change in momentum of an object when a force of 50 N is applied for 2 seconds:

1. Identify the known values:
   • Force, \(F = 50\) N
   • Time, \(\Delta t = 2\) s
2. Apply the impulse-momentum theorem: \[ \Delta p = F \Delta t \]
3. Substitute the known values: \[ \Delta p = 50 \text{ N} \cdot 2 \text{ s} \]
4. Perform the calculation: \[ \Delta p = 100 \text{ kg⋅m/s} \]

Example and Visual Representation

Let's visualize the relationship between momentum, force, and time:

This visual representation illustrates:

• The force applied to the object (50 N) represented by the green area
• The time duration of the applied force (2 s) shown on the horizontal axis
• The resulting change in momentum (100 kg⋅m/s) depicted by the red arrow