B because the the organism is changing into another chemical form
True. The speed of any object will have faster acceleration, and eventually slow down due to gravity.
Answer:
![KE=1.2036\times 10^{-12}\ J](https://tex.z-dn.net/?f=KE%3D1.2036%5Ctimes%2010%5E%7B-12%7D%5C%20J)
Explanation:
Given:
- charge on the alpha particle,
![q=2e=3.2\times 10^{-19}\ C](https://tex.z-dn.net/?f=q%3D2e%3D3.2%5Ctimes%2010%5E%7B-19%7D%5C%20C)
- mass of the alpha particle,
![m=6.64\times 10^{-27}\ kg](https://tex.z-dn.net/?f=m%3D6.64%5Ctimes%2010%5E%7B-27%7D%5C%20kg)
- strength of a uniform magnetic field,
![B=0.5\ T](https://tex.z-dn.net/?f=B%3D0.5%5C%20T)
- radius of the final orbit,
![r=0.5\ m](https://tex.z-dn.net/?f=r%3D0.5%5C%20m)
<u>During the motion of a charge the magnetic force and the centripetal forces are balanced:</u>
![q.v.B=m.\frac{v^2}{r}](https://tex.z-dn.net/?f=q.v.B%3Dm.%5Cfrac%7Bv%5E2%7D%7Br%7D)
![m.v=q.B.r](https://tex.z-dn.net/?f=m.v%3Dq.B.r)
where:
v = velocity of the alpha particle
![v=\frac{q.B.r}{m}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bq.B.r%7D%7Bm%7D)
![v=\frac{3.2\times 10^{-19}\times 0.5\times 0.5}{6.64\times 10^{-27}}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B3.2%5Ctimes%2010%5E%7B-19%7D%5Ctimes%200.5%5Ctimes%200.5%7D%7B6.64%5Ctimes%2010%5E%7B-27%7D%7D)
![v=1.2048\times 10^{7}\ m.s^{-1}](https://tex.z-dn.net/?f=v%3D1.2048%5Ctimes%2010%5E%7B7%7D%5C%20m.s%5E%7B-1%7D)
Here we observe that the velocity of the aprticle is close to the velocity of light. So the kinetic energy will be relativistic.
<u>We firstly find the relativistic mass as:</u>
![m'=\frac{1}{\sqrt{1-\frac{v^2}{c^2} } } \times m](https://tex.z-dn.net/?f=m%27%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%20%7D%20%7D%20%5Ctimes%20m)
![m'=\frac{6.64\times 10^{-27}}{\sqrt{1-\frac{(1.2048\times 10^7)^2}{(3\times 10^8)^2} } }](https://tex.z-dn.net/?f=m%27%3D%5Cfrac%7B6.64%5Ctimes%2010%5E%7B-27%7D%7D%7B%5Csqrt%7B1-%5Cfrac%7B%281.2048%5Ctimes%2010%5E7%29%5E2%7D%7B%283%5Ctimes%2010%5E8%29%5E2%7D%20%7D%20%7D)
![m'=6.6533\times10^{-27}\ kg](https://tex.z-dn.net/?f=m%27%3D6.6533%5Ctimes10%5E%7B-27%7D%5C%20kg)
now kinetic energy:
![KE=m'.c-m.c](https://tex.z-dn.net/?f=KE%3Dm%27.c-m.c)
![KE=6.6533\times 10^{-27}\times (3\times 10^8)^2-6.64\times 10^{-27}\times (3\times 10^8)^2](https://tex.z-dn.net/?f=KE%3D6.6533%5Ctimes%2010%5E%7B-27%7D%5Ctimes%20%283%5Ctimes%2010%5E8%29%5E2-6.64%5Ctimes%2010%5E%7B-27%7D%5Ctimes%20%283%5Ctimes%2010%5E8%29%5E2)
![KE=1.2036\times 10^{-12}\ J](https://tex.z-dn.net/?f=KE%3D1.2036%5Ctimes%2010%5E%7B-12%7D%5C%20J)
<span>In my opinion, I myself believe that there are only two supernovae. The first is the white dwarf. It makes sense because if something is too big for its size, it will "explode". Just like a basketball with too much air. Massive star supernovae is like something has reached it's full potential and cannot get any bigger or better.</span>