Well, I'm about to give up. This question is worth 10% of my grade for this homework but I've been working on it for about 5 hours now. I'm getting vfB = -.189 m/s and vfS = .517 m/s.
vfB should be closer to -.1 m/s and vfS should be closer to +.5 m/s
I am finding those numbers at this...
Okay, I'm moving on from here and I must be doing something wrong. I'm getting a number that doesn't work:
.004625 J = .5(.01 kg)*(-.05 m/s - 3vfB)^2 + .5(.03 kg)*(vfB)^2
.004625 J = .0000125 kg (m^2/s^2) + .3 (m/s) + 9(vfB^2) + .015kg(vfB^2)
0 = 9.015(vfB^2) + .3 (m/s)(vfB) - .0046125...
Oh I see! I was wondering why my units of measure were getting messed up. I'll give it another run with this instead:
0.017 m/s + 0.333 m/s (vfS) = (vfB)
And thanks for the quadratic equation tip. I can't believe I forgot about that.
Homework Statement
A 10.0 g marble slides to the left with a velocity of magnitude 0.500 m/s on the frictionless, horizontal surface of an icy, New York sidewalk and has a head-on elastic collision with a larger 30.0 g marble sliding to the right with a velocity of magnitude 0.150 m/s
Find...