Electron
3-4-6
proton
1-5-7
neutron
2-5-7
_dThe radius of curvature of a subatomic particle under a magnetic field is given by the following formula:

Where:

We can determine the quotient between the velocity and the charge of the deuteron particle from the formula. First, we divide both sides by the mass:

Now, we multiply both sides by the magnetic field "B":

Since the charge of the deuterion is the same as the charge of the proton and the velocity we are considering are the same this means that the quotient between velocity and charge is the same for both particles. Therefore, we can apply the formula for the radius again, this time for the proton:

And substitute the quotient between velocity and charge:

Now, we cancel out the magnetic field:

Now, we substitute the values:

Solving the operations:

Therefore, the radius is 19.3 cm.
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Answer:
Ek = 196.2 [J]
Explanation:
The question concerns the KE kinetic energy.
That is, we must find the kinetic energy at the moment the cannon is fired and the kinetic energy of when the ball hits the ground after having fallen 20 meters.
At the moment when the ball is fired it is 20 meters above ground level. If the ground level is taken as the reference level of potential energy, where it is equal to zero, in this way when the ball is at the highest (20 meters) you have the maximum potential energy.
In this way, the energy in the initial state is equal to the sum of the kinetic energy plus the potential energy. As the energy is conserved this same energy will be present when the ball hits the ground, where the potential energy is zero and will have only kinetic energy.
![E_{1}=E_{2}\\E_{k1}+E_{p1}=E_{k2}\\\frac{1}{2} *m*v^{2} +m*g*h=E_{k2}\\E_{k2}=0.5*1*(5)^{2} +1*9.81*20\\E_{k2}=208.7[J]](https://tex.z-dn.net/?f=E_%7B1%7D%3DE_%7B2%7D%5C%5CE_%7Bk1%7D%2BE_%7Bp1%7D%3DE_%7Bk2%7D%5C%5C%5Cfrac%7B1%7D%7B2%7D%20%2Am%2Av%5E%7B2%7D%20%2Bm%2Ag%2Ah%3DE_%7Bk2%7D%5C%5CE_%7Bk2%7D%3D0.5%2A1%2A%285%29%5E%7B2%7D%20%2B1%2A9.81%2A20%5C%5CE_%7Bk2%7D%3D208.7%5BJ%5D)
The kinetic energy in the initial state can be easily calculated by means of the following equation.
![E_{k1}=\frac{1}{2} *m*v^{2}\\E_{k1}=0.5*1*(5)^{2}\\E_{k1}=12.5 [J]](https://tex.z-dn.net/?f=E_%7Bk1%7D%3D%5Cfrac%7B1%7D%7B2%7D%20%2Am%2Av%5E%7B2%7D%5C%5CE_%7Bk1%7D%3D0.5%2A1%2A%285%29%5E%7B2%7D%5C%5CE_%7Bk1%7D%3D12.5%20%5BJ%5D)
Therefore the change in KE
![E_{k} = 208.7 - 12.5\\E_{k} = 196.2 [J]](https://tex.z-dn.net/?f=E_%7Bk%7D%20%3D%20208.7%20-%2012.5%5C%5CE_%7Bk%7D%20%3D%20196.2%20%5BJ%5D)
Answer:
2, 3 and 5.
Explanation:
When a solid is heated, the particles vibrate. These vibrations are passed through the solid and energy is transferred easily this way. Metals are good thermal conductors. The particles in solids are close to eachother and when particles are heated the speed up and move faster, which is the reason they vibrate.