Constellations are based off of many Greek and Roman fables. Many of their gods and beliefs are pictured in the stars, which is where we get most of our constellations. Hope this helps!
Answer:
it ends when clouds above start to break apart. Some tornadoes only last seconds. Others can last much longer. They come in many shapes and sizes.
Answer:
<em>The rebound speed of the mass 2m is v/2</em>
Explanation:
I will designate the two masses as body A and body B.
mass of body A = m
mass of body B = 2m
velocity of body A = v
velocity of body B = -v since they both move in opposite direction
final speed of mass A = 2v
final speed of body B = ?
The equation of conservation of momentum for this system is
mv - 2mv = -2mv + x
where x is the final momentum of the mass B
x = mv - 2mv + 2mv
x = mv
to get the speed, we divide the momentum by the mass of mass B
x/2m = v = mv/2m
speed of mass B = <em>v/2</em>
Answer:
The particle A will strike on the screen to the right (in -y₀). The particle B will strike to the left of the screen (in y₀), at the same distance than particle A from the x-axis but in the opposite direction. The particle C will strike to the right of the screen (in -y₁), the same direction than particle A, but nearer to the x-axis (see attached image)
The exact positions in the screen are (the point [0,y,0]):
Explanation:
The electric charges that move throw a region of space with a magnetic field will suffer a magnetic force (explain by Lorentz Force law). This force will force the particle to change direction but won't change its speed module. Therefore magnetic force act as a centripetal force.
The Lorentz Force law can be written as:
For particle A:
For particle B:
For particle C:
The force applied in each particle in the module is the same as you can see. Nevertheless, their directions are not. In the case of particles A and C, the force has a negative direction in the y-axis while in case B has a positive direction in the y-axis.
Knowing that the magnetic force is a centripetal force, we can find the radius of curvature:
For particle A:
For particle B:
For particle C:
Now we can obtain the exact point in the screen where the particle will strike. We can see than particle A and C are affected by the same force (same module and direction), but the radius of curvature of particle C is twice the one of particle A. Therefore the particle C will strike nearer to the x-axis than particle A.
In each case we can use Pythagoras Theorem to determine the point Y where the particles strike:
and in the triangle form
Therefore: