How Much Total Kinetic Energy Do Split Nucleus Fragments Have?

[quickclick330]

Homework Statement

6. A nucleus of mass Mo=222.0 u at rest spontaneously splits into two equal fragments,
each of mass M=110 u. When these two fragments are far apart, how much total kinetic
energy do they have? That is, what is the sum of their individual kinetic energies? (Note
that 1 u= 1.7 x 10^-27 kg, and 1 uc2 = 15.3 x 10^-11 J.)


1. 3.060 x 10-10 J
2. 3.366 x 10-10 J
3. 3.672 x 10-10 J
4. 3.978 x 10-10 J
5. 4.284 x 10-10 J
6. 4.569 x 10-10 J


No surroundings so...

Ef = Ei


would the equation be...

KE(of both) + Mc^2 + Mc^2 = Moc^2


is this set up right? thanks!

 

[Shooting Star]

Right.

 

[Andrew Mason]

Homework Statement

6. A nucleus of mass Mo=222.0 u at rest spontaneously splits into two equal fragments,
each of mass M=110 u. When these two fragments are far apart, how much total kinetic
energy do they have? That is, what is the sum of their individual kinetic energies? (Note
that 1 u= 1.7 x 10^-27 kg, and 1 uc2 = 15.3 x 10^-11 J.)


1. 3.060 x 10-10 J
2. 3.366 x 10-10 J
3. 3.672 x 10-10 J
4. 3.978 x 10-10 J
5. 4.284 x 10-10 J
6. 4.569 x 10-10 J

Judging by the available answers, I think you have to specify u to more significant figures. u = 1.67x10^-27 kg. (mass of proton), 1 uc2 = 15.03 x 10^-11 J.

AM