Calculating Recoil Speed: Mass, Arrow and Velocity

AI Thread Summary
To calculate the recoil speed of a person shooting an arrow, the conservation of momentum principle is essential. The correct formula is (M1*V1) + (M2*V2) = (M1 + M2)*Vf, where M1 is the mass of the person, M2 is the mass of the arrow, V1 is the velocity of the arrow, and Vf is the recoil speed of the person. The initial confusion stemmed from incorrect unit conversion between grams and kilograms. Properly applying the momentum conservation equation will yield the correct recoil speed. Accurate unit conversion is crucial for solving this type of physics problem.
DStan27
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can anyone help me with this problem ?? if i am given the mass of a person shooting and arrow, the mass of the arrow and the velocity at which the arrow was shot, what formula could i use to find the the recoil speed of the person.
 
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i've tried using (M1*V1)+(M2*V2) = (M1+M2)*Vf but that didn't work. I've also tried to use M1V1 = M2V2 a couple of ways but can't get the right answer. am i even close to using the right equation??
 
Yes you are trying to conserve momentum. You need to use the first one but in a different way.
 
ok, thanks i was actually doing it right but I'm an idiot and converted g to kg wrong.
 

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