Solve for v2Plutonium-239 Decay: Find Speed of Uranium-235

In summary, the equation for solving for v2 in the Plutonium-239 Decay is v2 = (ln2 * v1)/(ln2 - ln(0.5)). The initial speed of Uranium-235 can be found using the equation v1 = (ln2 * v2)/(ln2 - ln(0.5)). The value of ln2 in the Plutonium-239 Decay equation is approximately 0.693147. The speed of Plutonium-239 decreases over time in the decay process, following an exponential decay curve according to the equation v2 = v1 * (0.5)^(t/half-life), where t is the time elapsed and the half-life of Plutonium
  • #1
negation
818
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Homework Statement




A plutonium-239 nucleus at rest decays into a uranium-235 nucleus by emitting an alpha particle (4He) with kinetic energy of 5.15 MeV.

Find the speed of the uranium nucleus.

The Attempt at a Solution



How should I approach this problem?

m1v1=-m2v2
 
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  • #2
yeah, keep going. So, what is m2 and m1 ?
 
  • #3
BruceW said:
yeah, keep going. So, what is m2 and m1 ?


Its not given?
 
  • #4
I guess you are meant to look them up.
 
  • #5
You know the masses, but need the speed of the alpha particle. Calculate it from the given KE.

ehild
 

FAQ: Solve for v2Plutonium-239 Decay: Find Speed of Uranium-235

1. What is the equation for solving for v2 in the Plutonium-239 Decay?

The equation for solving for v2 in the Plutonium-239 Decay is v2 = (ln2 * v1)/(ln2 - ln(0.5)), where v1 is the initial speed of Uranium-235.

2. How do you find the initial speed of Uranium-235 in the Plutonium-239 Decay?

The initial speed of Uranium-235 can be found by using the equation v1 = (ln2 * v2)/(ln2 - ln(0.5)), where v2 is the speed of Plutonium-239.

3. What is the value of ln2 in the Plutonium-239 Decay equation?

The value of ln2 is approximately 0.693147 in the Plutonium-239 Decay equation.

4. How does the speed of Plutonium-239 change over time in the decay process?

The speed of Plutonium-239 decreases over time in the decay process, following an exponential decay curve according to the equation v2 = v1 * (0.5)^(t/half-life), where t is the time elapsed and the half-life of Plutonium-239 is approximately 24,100 years.

5. Can the Plutonium-239 Decay equation be used to find the speed of other decaying elements?

Yes, the Plutonium-239 Decay equation can be used to find the speed of other decaying elements as long as their half-life and initial speed are known.

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