Newton's Second Law: Momentum & Forces Explained

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Applying the same force to two different masses for the same duration results in equal momentum for both, assuming they start from rest. However, the velocities of the objects will differ due to their mass differences, with the relationship defined by the equations v1 = p1 / m1 and v2 = p2 / m2. Thus, while the momentum values p1 and p2 are equal, the resulting velocities v1 and v2 will vary based on the respective masses m1 and m2. This illustrates the fundamental principles of Newton's second law and the relationship between force, mass, and momentum. Understanding these concepts is crucial for analyzing motion in physics.
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Hi, I have a question that may be a little silly, but anyway, here is it...

From Newton's second law we know that F=dp/dt, this means that, if I apply a force to a body of mass m1 and then I apply the same force to a mass m2, then dp1/dt=dp2/dt, and if both bodies are initially at rest, the I could say that p1=p2, is that right?

Thanks in advance

Eduardo.
 
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Yes, if you have applied the force for the same duration to both objects the magnitudes of p1 and p2 will be the same. The velocities of the objects, however, will depend on their respective masses: v1 = p1 / m1 and v2 = p2 / m2.
 

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