Is there any way that Newton's second law can be derived from the

In summary, there is no way to derive Newton's second law from the first law, but it is possible to derive the first law from the second law. The second law is considered the real law of motion because it quantitatively describes the relationship between force and acceleration, while the first law only provides a qualitative understanding.
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Nstraw
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Is there any way that Newton's second law can be derived from the first
 
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Note that I'm asking for 2nd law from first law not first from 2nd
 
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Nstraw said:
Is there any way that Newton's second law can be derived from the first

I don't think so. The first Newtons Law just states that body will continue to move in a streight line unifiormly unless force acts on it.
Second Law quantitatively describes how exactly the velocity changes under the influence of force.
 
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Thanks. Well what do you think is the second law really the real law
 
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Nstraw said:
Thanks. Well what do you think is the second law really the real law

Yup , we say that Newton's second law is real law of motion because Newton's first law and third law may be derived using his second law. However doing converse isn't possible.

So you cannot derive Newton's second law from the first. However doing converse is possible , i.e. first law can be derived from second law.
 
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Newton's first law states that an object will be either at rest or moving with constant velocity ( constant speed in a straight line) if there is no resultant ( unbalanced) force acting on it.
If there is a resultant force acting then the object cannot be at rest or moving with constant velocity which means that it must be accelerating.
So the first law tells you, qualitatively , that a resultant force causes acceleration.
 
  • #7


I understand now. Thank you all
 

FAQ: Is there any way that Newton's second law can be derived from the

What is Newton's second law?

Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be expressed as the equation F=ma, where F is the net force, m is the mass of the object, and a is the acceleration.

Can Newton's second law be derived from other laws?

Yes, Newton's second law can be derived from his first law of motion, also known as the law of inertia. This law states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force. When combined with the concept of acceleration, this leads to the derivation of Newton's second law.

Is there any other way to express Newton's second law?

Yes, Newton's second law can also be expressed as the rate of change of momentum of an object equals the net force acting on it. This is often written as F=dp/dt, where p is the momentum of the object and t is time. This is essentially the same as the original equation F=ma, as mass times acceleration is equal to the change in momentum over time.

Can Newton's second law be applied to all objects?

Yes, Newton's second law is a fundamental law of physics and applies to all objects, regardless of their size, shape, or composition. It is a universal law that governs the motion of all objects in the universe.

How is Newton's second law used in real-world situations?

Newton's second law is used in many real-world situations, such as in the design of vehicles, structures, and machines. It is also used in sports and athletics to understand the forces involved in various movements and actions. Additionally, it is the basis for many other laws and principles in physics, making it an essential concept for understanding the physical world around us.

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