Signup with Email. Gender Male Female. Create Account. Already Have an Account? Class 9 Question. Answer to Question. Aditi Patel May 07, Upvote Himangshu Das Sep 01, Ashuvi Shukla Sep 02, Suppose an object of mass, m is moving along a straight line with an initial velocity, u. It is uniformly accelerated to velocity, v in time, t by the application of a constant force, F throughout the time t. The quantity, k is a constant of proportionality. But in practice we find that initial velocities are things which we have a lot of freedom to adjust.
In more mathematical terms: suppose we believe the motion of a test particle is completely determined by its initial position and velocity, but also that those quantities are free variables which we can choose.
If we know just a little about differential equations this suggests some kind of second-order differential equation must be controlling the behavior of the particle. In particular, the acceleration of the test particle should somehow be a function of the other configuration of matter. This is a pretty conventional story.
Two test particles with the same initial position and velocity, but different electric charges, can behave quite differently in the same electric field. That free parameter would implicitly contain what in the conventional approach we think of as the charge information.
Indeed, the new equations of motion would have a conserved quantity, corresponding to the charge. But the resulting force laws would be quite a bit uglier. Actually, if we ever saw a situation in nature where charges seemed to change over time, this jerk-based approach might be worth exploring! But the left-hand side, the very notion of a force, is subtle indeed. And, of course, other people have figured out other ways of computing force as a function of the distribution of matter and fields.
None of these implicit assertions has anything a priori to do with ma. And so the configuration of matter completely determines the acceleration of a test particle. There is no a priori reason this ought to be true. This does not mean that the whole branch is wrong, it simply describes events under certain conditions "normal" conditions, or the ones we observe in our every day life.
What you can do is say,. Now you come in the real world, see a body accelerating, you will say I can calculate the variable x for this body. Moreover if you give me x for this body, I can calculate its acceleration or mass. This is what mathematicians do. The mathematician quickly calculates the value of variable x , observing the acceleration of the block, and is satisfied.
But, the physicist is interested in the "cause" of the motion of block. He asks what is similar in this block moving, and any other mass's motion? He thinks and observes a lot of blocks moving due to different reasons and comes up with the following I have seen a lot of blocks moving.
Although all had different sources cause their motion, I could generalize something out of these cases. It seemed that the motion did not depend on the source , but something else that the source produced at the location of the block. Let's call this thing a dorce. And just for the sake of calculating acceleration , let me assign a number to this thing that I have perceived as existing alongside all moving blocks that I observed.
Note how this numbering would not exist , if he had not observed that there is a thing called dorce.. Now the patterns he observes in the world and his numbering Until and unless, you don't see what the physicist has perceived, you don't know what a dorce is.
Nor will you understand the fact that what he has done is classified all the dorces of the universe and numbered each group. Now he'd have to prove that this definition of dorce which assigns the number ma to the every dorce that produces a acceleration in body of mass m , is consistent with rules 1,2,3.
Think why? Hence , the physicist will never define dorce as ma. He certainly will never be able to. He never will be able to infinite decimal places So all physical laws he will propose , will be some kind of approximations. Sign up to join this community.
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