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# Does Newton's 2nd law of motion contain the 1st law as a special case?

Professional Trainer with 27 years of teaching experience in PHYSICS for IIT/NEET/CBSE/ICSE etc

Yes, as per newton's second law, F=ma. Hence, if F=0, then a=0, which is nothing but the essence of the first law, which states that everybody continues to be in its state of rest or of its uniform motion in a straight line unless compelled by an external force to change that state.

Physics lecture with 8 years teaching experience

Newton's second law tells about inertia and definition of force. Force is the cause of every motion. While Newton's 2nd law gives the mathematical expression for force, so Newton's 2nd law can be used to state Newton's first law.

MSc. Physics (Electronics) ,B.Ed. with 10 years experience of teaching Physics

Newton' first law (Law of Inertia) gives the qualitative idea, whereas Second law (Law of momentum) provides a quantitative approach of the first law. According to second law F=ma if F=0, then a=0 It means an object continues in its state(uniform motion or rest) until or unless an external force is applied. It...

Newton' first law (Law of Inertia) gives the qualitative idea, whereas Second law (Law of momentum) provides a quantitative approach of the first law.

According to second law F=ma

if F=0, then a=0

It means an object continues in its state(uniform motion or rest) until or unless an external force is applied.

It proves the first law.

IITJEE Mains and Advanced PHYSICS 8 years experience.

Yes, In second law if we make force on particle be zero, it results in zero change in momentum for the particle. As a result, the particle moves with constant velocity (in the absence of net force). It is Newton's first law.

Physics & Mathematics as fun

Yes, F=ma that means, there will be an acceleration only if there is a net external force. Note: unless there is an acceleration, the velocity of an object will not change, that means either it will keep moving at a constant speed or will remain at rest.

Physics student and teacher with 4 years of experience

Each of Newton's laws is in coexistence with each other; yes, the second law includes the first law. Thus you get to prove it.

Ex FIITJEE and ALLEN FACULTY

Yes, mathematically it can be shown. However all the three Newton's law has its own significance. Thanks

Teaching experience of 17 years.

Yes, indeed. Newton's second law contains the first law. But, both of them have a particular significance. To not get confused and be crystal clear about these concepts, refer to D'Alembert's principle for dynamics.

A Post Graduate in Computer Science making learning easy

Yes, the second law of motion contains the first law of motion as well as the third law of motion; therefore, the second law of motion is known as the real law of motion. We can derive the first and third law using the second law of motion.

Yes, Newton's 1st law of motion is a special case of 2nd law.

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