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Use Conservation of Mass-Energy to determine how much kinetic energy is released when Radium-224 decays into...

Use Conservation of Mass-Energy to determine how much kinetic energy is released when Radium-224 decays into Radon-220 and Helium-4 (an alpha particle). The relevant masses are mRa = 224.020186u, mRn = 220.011368u, and mHe = 4.002603u. Kinetic energy released:

A Uranium-236 nucleus that is initially at rest has a mass of 2.9e-25 kg and is initially at rest. When it decays, it creates two fragments that fly off in opposite directions. Fragment #1 moves to the left at a velocity of -0.41 c, and Fragment #2 moves to the right at a velocity of 0.64 c. 1. Draw a diagram of this situation both before and after the decay. 2. Label all objects, masses, and velocities. 3. Write down the Law of Conservation of Momentum for this decay. Make sure that you use the Relativistic Momentum. 4. Write down the Law of Conservation of Mass-Energy for this decay. 5. Determine the rest masses (in kilograms) for Fragment #1 (m1) and Fragment #2 (m2) by solving the equations that were obtained for Conservation of Momentum and Conservation of Mass-Energy.
Enter the Mass of Fragment #1 here:  
Enter the Mass of Fragment #2 here:

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Answer #1

iut m Ra 2 224 0IRGu mKn220 01368 m-te 4.0026 03 n 600393 3 63 5611 Mev amano thro mane, are mi4mL 4-mihal 2ア 2.9X102) rn, (0.4) () 2.gxious: m, t mh. +1th, ylp4岿txm×(bけ) 巾 d) 2.9 x 16,- 1.010

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