I'm not sure how this can be solved if their is only two velocities?
Two balls are approaching each other head-on. Their velocities are +9.95 and -11.4 m/s.
(a) Determine the velocity of the center of mass of the two balls if they have the same mass.
m/s
(b) Determine the velocity of the center of mass of the two balls if the mass of one ball (v = 9.95 m/s) is twice the mass of the other ball (v = -11.4 m/s).
m/s
it took me hours to find the equation to be 1/2(x1 + x2) in a textbook. where x1 = v1 and x2 = v2
i didn't use the masses at all. just the velocities only.
i wish you could've pointed me in that direction!
so for the first one, -.725 m/s and the second one. the mass should not make a difference. but i could not reach an answer.
So don't look for an equation from your book, derive it using the principles and definitions!! This is why I didn't just give you the final equation: I wanted you to be able to solve problems that don't have nice neat equations listed in your book. I fear this is the greatest flaw in how you are trying to solve these problems.
For the first problem we have . So
Now plug the numbers in.
For the second problem we have , so
You finish it.
-Dan