Newton’s laws of motion -- Does the 1st Law presuppose the 2nd Law?

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SUMMARY

The discussion centers on the relationship between Newton's First Law of Motion and Newton's Second Law of Motion. It establishes that the First Law, which states that an object in motion stays in motion unless acted upon by an external force, is foundational to understanding the Second Law, which quantifies the relationship between force, mass, and acceleration. A specific example is provided involving a mass on a string moving in a circle, illustrating that once the string is cut, the Second Law becomes trivial (0 = 0) without the context provided by the First Law.

PREREQUISITES
  • Understanding of Newton's First Law of Motion
  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of circular motion and forces
  • Familiarity with the concept of inertia
NEXT STEPS
  • Study the implications of Newton's First Law in various physical scenarios
  • Explore real-world applications of Newton's Second Law in dynamics
  • Investigate the concept of inertia and its role in motion
  • Analyze examples of circular motion and the effects of external forces
USEFUL FOR

Students of physics, educators teaching classical mechanics, and anyone interested in the foundational principles of motion and force dynamics.

feesicksman
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Homework Statement
Is Newton‘s first law of motion necessary supposing that we already know that Newton‘s second law of motion is valid?
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feesicksman said:
Homework Statement: Is Newton‘s first law of motion necessary supposing that we already know that Newton‘s second law of motion is valid?
Good question!
 
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Consider a mass at the end of a string moving in a circle at constant speed on a horizontal frictionless plane. At some point the string is cut. After the string is cut, the second law says$$0 = 0$$ which is not very useful for describing the motion of the mass.
 
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