confident, darealbud is great, it does use conservation of momentum - yet i think of we would be waiting to simplify it down somewhat: since momentum is conserved, the momentum of the alpha particle is an comparable because of the fact the momentum of the daughter nucleus, basically indoors the quite a few direction. one million. enable 0 symbolize the alpha particle, and one million symbolize the daughter nucleus: m0 * v0 = -m1 * v1 2. Kinetic skill E = (one million/2)*(m)*(v^2), so: v = sqrt(2*E/m) 3. Substituting returned into the momentum equation: m0 * sqrt(2*E0/m0) = -m1 * sqrt(2*E1/m1) 4. sq. the two section: m0^2 * (2*E0/m0) = m1^2 * (2*E1/m1) 5. as quickly as you cancel out variables, you're able to desire to finally get: (m0 / m1) * E0 = E1 for the reason which you already know m0, m1 and E0, you will get E1. choose this helps! ^_^
Comments
The reaction involved is Th-228 -> Ra-224 + α + E
Mass of Th-228 is 228.0287411
Mass of Ra-224 is 224.0202118
Mass of α (helium nucleus) is 4.002602
So the mass difference is
228.0287411 - 224.0202118 - 4.002602 = 0.0059273 u
1 u = 931.5e6 eV so 0.0059273u = 5.521e6 eV = 5.521 MeV
confident, darealbud is great, it does use conservation of momentum - yet i think of we would be waiting to simplify it down somewhat: since momentum is conserved, the momentum of the alpha particle is an comparable because of the fact the momentum of the daughter nucleus, basically indoors the quite a few direction. one million. enable 0 symbolize the alpha particle, and one million symbolize the daughter nucleus: m0 * v0 = -m1 * v1 2. Kinetic skill E = (one million/2)*(m)*(v^2), so: v = sqrt(2*E/m) 3. Substituting returned into the momentum equation: m0 * sqrt(2*E0/m0) = -m1 * sqrt(2*E1/m1) 4. sq. the two section: m0^2 * (2*E0/m0) = m1^2 * (2*E1/m1) 5. as quickly as you cancel out variables, you're able to desire to finally get: (m0 / m1) * E0 = E1 for the reason which you already know m0, m1 and E0, you will get E1. choose this helps! ^_^