proved the force=mass ×acceleration
Answers
Answer:
prove:- F=Ma
Answer:-
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.
In more valid general geometry, the terms, including 'a', have no fixed meaning.
Answer:
The rate of change of momentum =
∆P/∆t=∆(mv)/∆t
(When v →$ c or m is not constant).
But if mass m is constant i.e., v
rate of change of momentum =∆P/∆t=m ∆v/∆t
Here the quantity Δv/∆t= rate of change of velocity i.e., acceleration a.
Rate of change in momentum