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violated F=ma


cookbeat01

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Is it totally true, that when Newton's second law (f=ma) is violated, a heavier object when pushed would accelerate at the same rate as a lighter object with the same force? Now don't get me wrong, I do know that physical laws cannot be violated.

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Is it totally true, that when Newton's second law (f=ma) is violated, a heavier object when pushed would accelerate at the same rate as a lighter object with the same force?

No. Let the relationship be [math] \vec F = \frac{m^2}{1 \text { kg}} \vec a[/math], for example. That clearly violates F=ma. Still, two unequal masses would not have the same acceleration when the same force works on them.

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  • 2 weeks later...
note though, F=ma isn't fully accurate, just accurate for everyday scales. High forces, speeds or masses, you require relatavistic equations.

 

It's technically only an approximation on normal scales too. As what do you do if the mass changes? ;)

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