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skyze
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Homework Statement
Alpha particle mass - 4amu
velocity alpha particle - 3.0x10^5m/s
197Au Nucleus mass - 197amu
Head-on elastic collision. Find the final velocity of both the particles
Homework Equations
Kinetic Energy conserved:
1/2m1v1i = 1/2m1v1f + 1/2m2v2f
Momentum Conserved:
m1v1i = m1v1f + m2v2f
The Attempt at a Solution
For Momentum:
4 x (3 x 10^5) = 4V1f + 197v2f
3 x 10^5 = V1f + 49.25v2f
V1f = 3 x 10^5 - 49.25v2f
For Kinetic Energy
4 x (3.0 x 10^5)2 = 4V1f2 + 197v2f2
3.6 x 1011 = 4V1f + 197v2f
9 x 1010 = V1f + 49.25v2f
Subbing in one for the other
9x 1010 = (300,000 - 49.25v2f)2 + 49.25v2f
The v2f and V1f values I get doesn't work out
Thanks in advance for your help.