The discussion revolves around the interpretation of Newton's Second Law, specifically questioning the validity of rewriting the equation f = m*a as f = m*s/t^2. Participants are exploring the relationship between force, mass, acceleration, and displacement in the context of classical mechanics.
There is an active exploration of the concepts involved, with some participants providing insights into the relationships between acceleration, velocity, and distance. However, there is no explicit consensus on the reasoning or a definitive resolution to the questions raised.
Participants are considering scenarios such as constant acceleration and the implications of initial velocity being zero. The discussion also touches on the complexities introduced when acceleration is not constant.
You can't do it because ##\displaystyle \ a\ne \frac{s}{t^2} \ ## .Abhijith S. Raj said:We all know that f = m*a. But why can't we write this as f = m * s/t^2 ?
I know this is wrong. But what is the reason?? Need opinion on this.
Thankyou.
If initial velocity is zero, and acceleration is constant, then the final velocity is v = at, but the average velocity is v/2 . The average velocity multiplied by time gives distance, so that s = (1/2)at*t = (1/2)at2, a = 2a/t2 .Abhijith S. Raj said:a = dv/dt. Ya now i get it.
Then, ... all bets are off. That's also true if the initial (or final) velocity isn't zero.akashpandey said:if acceleration is not constant then?