Clarification in the definition of force

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SUMMARY

Force is defined by Newton's second law as the rate of change of momentum (F = dp/dt) and as the product of mass and acceleration (F = ma). Both definitions are valid under classical mechanics. However, they are not equivalent within the framework of special relativity, where the relationship between mass, momentum, and force requires a more complex understanding. This distinction is crucial for advanced physics applications.

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manimaran1605
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\According to Newton's second law, force is defined as rate of change of momentum or force is defined as product of mass into acceleration, I both of these definitions are same and right.

My questions are,
(1) how can i prove this two definitions are same?
 
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F=dp/dt=d(mv)/dt=m(dv/dt)=ma
Actually, these two definitions are not equivalent in the framework of special relativity.
 

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