2/18/2023 0 Comments Impulse and impulsive force![]() ![]() You will note that the impulse is the area under a force against time graph. The only difference is that now the body reaches $10$ m/s half a second after the force was first applied.Īs you can see from the graphs the impulse in the same and so is the final state, speed is $10$ m/s but as the time over which the force acts decreases so the time taken to reach the final state. The impulse is the same ($10$ Ns), the change in momentum is the same ($10$ Ns) and so is the final speed ($10$ m/s). Now apply a force of $20$ N on the body for $\frac 1 2 $ seconds. However it does not reach that speed until one second after the froce was first applied. The impulse is $10 \times 1 = 10$ Ns and as this is equal to the change in momentum of the body the bodies final speed is $10$ m/s. Suppose a mass of $1$ kg, starting from rest, is subjected to a force of $10$ newtons for $1$ second. Now often it is the case that one is interested in what happens before and after a collision but one is not interested in what happens during the collision particularly if the time during which the collision occurs is much less than the times scale before and after the collision. ![]() ![]() As freecharly stated in his post, impulsive force is defined to be the force which acts for an infinitesimally short interval of time and yet is responsible for a finite change in momentum of the system on which the impulsive force is applied.Īs implied from Newton's Second Law of Motion, impulse is defined to be $$\textrm \Rightarrow \Delta p = F \Delta t$ ie it is something to do with change of momentum of a body. ![]()
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