DivineHeretic
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Precisely. All other factors remaining same, the longer the barrel, the greater the range.sir then how come INSAS rifle range 400 meters and INSAS LMG 700 meters , is it relates to the barrel length of the LMG ?
You've read about the three Kinematic equations of motion. Well, they are the fundamentals to explaining this.
where s = displacement (s0 = initial displacement), u = initial velocity, v = final velocity, a = acceleration, t = time
Now, let's take the 1st equation: (note that initial velocity = velocity of the gun =0)
If a barrel is longer, the bullet spends more time (t) in the barrel. Consequently, the acceleration (force) acts on the bullet for a longer time(i.e. 't' increases). As a result, the bullet exiting the barrel has a higher velocity (v), and thus a greater range.
You could also use the 4rd equation to explain the same phenomenon.
As the length of the barrel increases, the distance (displacement) traveled by the bullet inside the gun increases (i.e. s increases). As a result, the distance for which the bullet experiences the acceleration (a) increases. Thus V increases, as can be found from the equation.
It's really that simple.