High School I don't get instantaneous impulse

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The discussion centers on the concept of instantaneous impulse as presented in a mechanics book. It clarifies that impulse is defined as the change in momentum, applicable to all scenarios, including those with very short force durations. The text emphasizes that even when force and time are unknown, the relationship between impulse and momentum remains valid. The confusion arises from the specific mention of instantaneous impulse, but it is reiterated that this principle holds universally. Understanding this concept is crucial for grasping momentum dynamics in physics.
atharba
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I was reading this A-level mechanics book by L. Bostock and S. Chandler. The chapter was momentum and in it, there's a section about instantaneous impulse. It says "There are many occasions when a force acts for so short a time that the effect is instantaneous, example a bat striking a ball, in such cases, although the magnitude of the force and the time for which it acts may be unknown, there is, nevertheless, an instantaneous impulse whose value is equal to the change in momentum produced"

But since impulse is equal to "the change in momentum which it produces" then why did the book just specify that in that case the impulse is equal to the change in momentum? Shouldn't this be the case for all impulses and not just the instantaneous ones?
 
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atharba said:
then why did the book just specify that in that case the impulse is equal to the change in momentum?
It did not, it just said that the impulse is equal to the change in momentum in that case just as in any other case - even if you do not know the force or the time over which the force acts.
 
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Orodruin said:
It did not, it just said that the impulse is equal to the change in momentum in that case just as in any other case - even if you do not know the force or the time over which the force acts.
Thanks a lot!!
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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