Momentum-Time Graphs
Unit: Linear Momentum
Prerequisites
Later Topics
Lesson Preview
Rearranging the relationship between force, change in momentum, and time by dividing both sides by tells us that the net force acting on an object is equal to the rate of change of its linear momentum:
In one dimension, on a graph where the vertical axis represents momentum and the horizontal axis represents time , the term corresponds mathematically to the slope of the line. Therefore, the physical quantity of net force is determined by finding the slope of the momentum-time graph.
To calculate the net force during a time interval where the graph forms a straight line, one determines the slope of that linear segment. For a segment defined by an initial point and a final point , the net force is calculated as the change in momentum (rise) divided by the change in time (run):
If the graph is linear, the slope is constant, indicating that a constant net force is acting on the object throughout that duration.
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