Speed of proton and alpha particle

In summary, an alpha particle and a stationary proton, initially at a distance of 1.0 * 10^-12 m, move infinitely apart. To find their final velocities, the potential energy of the system was calculated using the equation kq1q2/r and then converted to kinetic energy using the equation 0.5mv^2. The speed and ratio of kinetic energies for each particle was determined, but the correct answer is uncertain.
  • #1
colmes
4
0

Homework Statement


An alpha particle (4 times the mass of a proton with a charge of +2e) is at rest 1.0 * 10^-12 m from a stationary proton. The 2 particles immediately move apart. Find the speed of each particle when they are infinitely far from each other.


Homework Equations



Electrical Energy = kq1q2/r
Kinetic Energy = 0.5mv^2

The Attempt at a Solution



I used the equation kq1q2/r to find the potential energy of the system and converted the potential energy into 0.5mv^2 to solve for the velocity. I am not sure that I have the right answer.
 
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  • #2
right approach ... but which one is moving faster? how many times as fast is it?
what fraction of the total KE does the fast one have?
 

What is the speed of a proton and an alpha particle?

The speed of a proton and an alpha particle can vary depending on their energy levels. However, on average, the speed of a proton is around 2,200 meters per second and the speed of an alpha particle is around 16,000 meters per second.

How does the speed of a proton and an alpha particle compare to the speed of light?

The speed of light is approximately 299,792,458 meters per second, which is significantly faster than the speed of both a proton and an alpha particle. The speed of light is considered to be the universal speed limit, and particles with mass cannot reach or exceed this speed.

What factors can affect the speed of a proton and an alpha particle?

The speed of a proton and an alpha particle can be affected by factors such as the energy they are given, the medium they are traveling through, and any external forces acting upon them. In general, higher energy levels will result in higher speeds for both particles.

Can the speed of a proton and an alpha particle be measured?

Yes, the speed of a proton and an alpha particle can be measured using various techniques such as particle accelerators or detectors. These methods allow scientists to accurately measure the speed of these particles and study their behavior.

How does the speed of a proton and an alpha particle affect their ability to penetrate matter?

The speed of a proton and an alpha particle can greatly impact their ability to penetrate matter. Higher speeds allow these particles to have more energy, which can result in deeper penetration into materials. However, the type and density of the material can also play a role in the particles' ability to penetrate.

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