If you have two objects, with one being substantially more massive than the other, taking the Law of Momentum Conservation into consideration; and that more massive object, if collided into the smaller stationary object, with more momentum and mass, would they both have the same momentum change while crashing, or would the smaller object have a larger change in momentum? This is setup so that a large mass object at a highspeed, is crashing into a small mass object with no speed. I've been told that they will both have the same change in momentum, but I don't see how it's possible considering t
Stacey Warren - Expert brainly.com
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you think now. when the larger object crashes in to the smaller one. the larger wont have any substantial change in its velocity and hence momentum. but the smaller's velocity would increase substantially, right???
so its momentum increases by a huge margin.
NOW NOW... i know you have doubt there. you think that how can it be so that the smaller's velocity changed so much and the bigger's did not, yet the momentum is conserved?? its because say the two masses are 'M' and 'm' for for BIG guy and small guy respectively.
now if the bigger one's velocity decreases by a very small amount 'v', its momentum is decreasing by 'Mv'. which is very large now because of the larger mass value. now THIS momentum gets converted (rather added) to the smaller mass' momentum. now since 'm' is very small compared to 'M' in "Mv' and and the momentum changes have to be equal, the 'm' value is compensated by a very large increase in the small mass' velocity (say increases by V).
so ultimately Mv=mV
and momentum IS conserved after all!!
I thin I'm starting to understand, but I'm still a bit muddled as to what you mean by the momentum is converted instead of added, do you imply in such a way that it's no longer apart of the momentum between just the two objects, and lost to the system, or that the momentum is converted into the speed that the smaller object is now traveling at? Is that similar to the Theory of Relativity's take on why you cannot go faster than light speed?
i meant added itself. take that as it is transferred from M to m.