Friday

August 22, 2014

August 22, 2014

Posted by **bryce tanaka** on Friday, October 7, 2011 at 10:57am.

Because the calculations involve the small difference of (comparatively) large numbers, you need to keep 7 significant figures in your calculations, and you need to use the more accurate value for the speed of light, 2.99792e8 m/s.

Choose all particles as the system.

Initial state: Original nucleus, at rest.

Final state: Alpha particle + new nucleus, far from each other.

What is the rest energy of the original nucleus? Give 7 significant figures.

What is the sum of the rest energies of the alpha particle and the new nucleus? Give 7 significant figures.

- Physics -
**drwls**, Friday, October 7, 2011 at 11:20amCalculate the loss of rest mass energy. That will equal the sum of the kinetic energies of the two fragments.

(delta m)*c^2 = 9.322*10^-30 kg*c^2

= 8.379*10^-13 J

Since the original particle was stationary, the two fragments have equal and opposite momenta.

You can use that fact and the total final kinetic energy to get the velocites of each of the two fragments. Hoever, all thay ask you to do is compute m c^2 for each partricle and compare initial and final values. That has already been done above.

**Related Questions**

physics - A uranium nucleus (mass 238 u), initially at rest, undergoes ...

p - A uranium nucleus (mass 238 u), initially at rest, undergoes radioactive ...

physics - An alpha-particle collides with an oxygen nucleus which is initially ...

Physics - Two astronauts, one of mass 61 kg and the other 82 kg, are initially ...

Physics - Two astronauts, one of mass 61 kg and the other 82 kg, are initially ...

Physics - Two baseballs, each with a mass of 0.157 kg, are separated by a ...

Physics - Two objects x and y with a total mass od 2.5 x 10^3 kg are joined ...

physics - An alpha particle collides with an oxygen nucleus, initially at rest. ...

physics - An alpha particle collides with an oxygen nucleus, initially at rest. ...

Physics - An atomic nucleus of radon initially moving at 530 m/s emits an alpha ...