- #1
thecluelessphysisist
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Ok, I have tried to work this out for about an hour now and I haven't gotten very far. In the question there are two equal masses. One of them is moving at a given velocity and the other is not moving at all. After the collision one disk goes off on a given angle while the other disk goes off on an angle perpendicular to that of the second disk. The question wants me to solve for the final velocities.
So this is what's given:
Mass one Mass two
Initial velocity = 0 Initial velocity = vi1
Final velocity = ? Final velocity = ?
Angle = 90-A2 (Not sure if that's right) Angle = A2
Mass = Mass two Mass = Mass one
Oh you and the collision is perfectly elastic. So I think I am supposed to have like 4 unknowns and then I am suposed to have 4 different equations. But the only equation I am aware of right now is
vi1 = v1f + v2f
This can be split up to two other equations like so:
vi1x = v1fx + v2fx
vi1y = v1fy + v2fy
Ok, so I think that's right so far, then what I did was I made four other equations like so:
v1fy = v1fy(sinA2-90)
v1fx = v1fx(cosA2-90)
v2fy = v2fy(sinA2)
v2fx = v2fx(CosA2)
Now I plugged those into the original two equations like so:
v1ix = v1fx(cosA2-90) + v2fx(cosA2)
v1iy = v1fy(sinA2-90) + v2fy(sinA2)
Now this is where I am stuck. I am not sure if I am on the right track right now but I hit a dead end. I have too many unknowns and not enough equations. Either the answer is really easy and I just can't see it, or I messed up somewhere, or there's another equation I am supposed to use. But right now I am really stuck and would appreciate any help given.
So this is what's given:
Mass one Mass two
Initial velocity = 0 Initial velocity = vi1
Final velocity = ? Final velocity = ?
Angle = 90-A2 (Not sure if that's right) Angle = A2
Mass = Mass two Mass = Mass one
Oh you and the collision is perfectly elastic. So I think I am supposed to have like 4 unknowns and then I am suposed to have 4 different equations. But the only equation I am aware of right now is
vi1 = v1f + v2f
This can be split up to two other equations like so:
vi1x = v1fx + v2fx
vi1y = v1fy + v2fy
Ok, so I think that's right so far, then what I did was I made four other equations like so:
v1fy = v1fy(sinA2-90)
v1fx = v1fx(cosA2-90)
v2fy = v2fy(sinA2)
v2fx = v2fx(CosA2)
Now I plugged those into the original two equations like so:
v1ix = v1fx(cosA2-90) + v2fx(cosA2)
v1iy = v1fy(sinA2-90) + v2fy(sinA2)
Now this is where I am stuck. I am not sure if I am on the right track right now but I hit a dead end. I have too many unknowns and not enough equations. Either the answer is really easy and I just can't see it, or I messed up somewhere, or there's another equation I am supposed to use. But right now I am really stuck and would appreciate any help given.