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De_Dre01
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Homework Statement
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Person A fires a 222 g arrow towards an archery target at a speed of 109 m/s. Person B shoots a 190. g arrow moving in the same direction. This arrow moves with a speed of 290. m/s, catches up, and then collides with Person A's arrow.
If the arrows collide in a perfectly elastic manner, what will be the magnitude of velocity of Person B's arrow afterwards?
Homework Equations
Conversation of Momentum
m1v1+m2v2=m1v1'+m2v2'
The Attempt at a Solution
So far, I tried doing:
m1v1+m2v2=m(1+2)vf'
(0.222)(109)+(0.190)(290)=(0.222+0.190)vf'
And solved for vf. but it isn't the correct answer.
I also tried Conversation of Kinetic Energy
1/2(0.222)(109)^2+1/2(0.19)(290)^2=1/2(0.412)v^2
And solved for vf. but it isn't the correct answer.
What am I doing wrong?