Question

1) prove that F=ma
2) what will be mass of body of force 7.10N on it, produces an acceleration of 2m/s2​

Answer 1

1.)It would be difficult to prove F=ma for at least two reasons.

1. Physics does not start from a well-defined set of unshakable axioms and proceed via mathematical logic to proven facts. It is put together out of a combination of observations, provisional generalizations, and mathematical glue.

2. Anyway, F=ma happens to be false. Even if you were to (falsely) assume that space and time had a simple geometry, the proper version of the equation is F=dp/dt where p is momentum. [dp/dt means the rate of change of momentum in time (t).] That happens to be the version that Newton gave, but it too is not true in the way that Newton meant it. The reason is that p=mv where v is velocity and m is a velocity-dependent mass. Newton didn't know about that intrinsic velocity dependence. F=ma would be true only if m were independent of velocity. This was all worked out precisely by Einstein in 1905.

2.)