How Are Impulse and Work Methods of Applying Force to a Body?

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Force can be applied to a body through impulse or work, both of which relate to the change in momentum. Mathematically, force is defined as the rate of change of momentum (dp/dt), indicating how momentum varies over time. The cumulative effect of all dp/dt acting on a body determines the total change in momentum. This relationship highlights how external forces influence the motion and behavior of the body. Understanding these concepts is crucial for analyzing dynamics in physics.
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Is it correct that the two ways that force can be 'applied' are via an Impulse or Work? I know that force is defined as dp/dt, but how is force, mathematically, applied to a body? How is the dp/dt 'added in' to the behavior of the body, if that makes sense?
 
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RustyDoorknobs said:
How is the dp/dt 'added in' to the behavior of the body
The sum of all the dp/dt acting on the body tells you how the total p of the body changes over time.
 

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