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

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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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Is this a homework question? If so, tell us what you think before you can receive help.
 
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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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1. What is the first law of motion according to Newton?

The first law of motion, also known as the law of inertia, states that an object will remain at rest or in motion at a constant velocity unless acted upon by an external force.

2. What is the second law of motion according to Newton?

The second law of motion states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass.

3. Does the first law presuppose the second law?

No, the first law does not presuppose the second law. The first law describes the behavior of objects in the absence of external forces, while the second law explains the relationship between force, mass, and acceleration.

4. How are the first and second laws of motion related?

The first and second laws of motion are related in that they both describe the behavior of objects in motion. The first law explains what happens when there is no net force acting on an object, while the second law explains what happens when there is a net force. Together, these laws form the foundation of classical mechanics.

5. Are Newton's laws of motion still relevant today?

Yes, Newton's laws of motion are still relevant today and are used to describe the motion of objects in everyday life. They also serve as the basis for more complex theories, such as Einstein's theory of relativity.

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