- #1

- 10

- 0

Q) A uranium-238 atom can break up into a thorium-234 atom and a particle called an alpha particle, α -4. The numbers indicate the inertias of the atoms and the alpha particle in atomic mass units (1 amu = 1.66 × 10

^{−27}kg ). When an uranium atom initially at rest breaks up, the thorium atom is observed to recoil with an x component of velocity of -2.9 × 10

^{5}m/s.

- How much of the uranium atom's internal energy is released in the breakup? (Express your answer to three significant digits and include the appropriate units.)

Relevant Equations: k = 1/2mv

^{2}

- I found the velocity of the object to be -2.9 x 10

^{5}m/s (given)

- I found the mass of the thorium atom to be 234 * 1.66 x 10

^{-27}kg = 388.44 x 10

^{-27 }kg

- I found v

^{2}to be (-2.9 x 10

^{5}m/s)

^{2}= 8.41 x 10

^{10}m

^{2}/s

^{2}

- Multiply: 1/2 * 388.44 x 10

^{-27}kg * 8.41 x 10

^{10}m

^{2}/s

^{2}= 1633.3902 x 10

^{-17}joules

- Reduce this to three significant digits: 163 x 10

^{-16}joules

Where did I go wrong? The program says that answer is not correct, but I went over it several times and can't find my mistake. Any help is appreciated. Please do not give me the answer. I doubt anyone here would, but that would violate my conscience (among other things!)