A A 235 KG ball traveling 25 m/s strikes a second ball with a mass of 245 Kg moving at a speed of 35 m/s. They become stuck together and travel in a straight line. How fast are they moving after they become entangled?
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Don't think I am doing this right, but I tried...
As
conservation of momentum?
ma+m'b=Mc
i)assuming they are travelling towards each other;
m=235
a=25 travelling left
m'=245
b=-35 travelling right
235(25)+245(-35)=480c
c=-5.625 so travelling right
ii)assuming they are travelling in the same direction;
m=235
a=25 travelling left
m'=245
b=35 travelling left
but m' starts behind m
235(25)+245(35)=480c
c=30.1
The problem with your solution is that you are assuming the first ball is always moving towards the left. If this is true, then your solution is impossible because in the first case it asserts that the 245 g mass is moving to the right... that means in the 2nd case, the 245 g mass is moving ahead of the 235 g mass making the collision impossible seeing as the 245 g mass is moving faster. Therefore, your first answer is wrong: the masses will actually move in the left direction. (c = + 5.625)
@ vitruvian
check again.
for the first one you can always choose another frame of reference so that right is left its the same. the thing is i defined which ball is travelling in which direction. so my answer is actually saying 5.625 in the direction of the 245kg ball where as in your answer we dont know.
in the second one
so your saying if i go in a straight line at 35mph and you are in front at 25mph i wouldnt reach you?
since we know they travel in a straight line and strike , its gotta be one of these two cases
I misread your sign convention on that one, I apologise for the error.
I was infering quite the opposite. Once again, I misread your sign convention and incorrectly assumed you were working with the opposite scenario.in the second one
so your saying if i go in a straight line at 35mph and you are in front at 25mph i wouldnt reach you?
since we know they travel in a straight line and strike , its gotta be one of these two cases