A positron ( e+) and a electron (e-) are ejected at the same speed from a subatomic particle that is decaying.  they are both ejected at the exact same speed. however they are ejected in directions that are opposite to eachother.  assume there is a 1.20 mT magnetic field that is uniform acting perpendicular to the initial velocities, how long would it take the positron and electron to collide into eachother? You MUST Draw the trajectories of moving particles.

The first cyclotron used a 1.3 T magnetic field and had an 11 cm radius. (a) Find the maximum kinetic energy of protons accelerated by this cyclotron. Is it accurate to use nonrelativistic expressions in your calculation? (b) When the cyclotron was accelerating protons, at what frequency was it operated?

What is the z-component of the net force acting on a particle (so you can ignore gravity) of charge 467.4 uC moving at (437.9, -520.7, -526.6) m/s in an electric field = (4,778.8, -4,132.8, -4,712.2) N/C and a magnetic field = (-0.8, -0.7, 0.2) T? Assume that nothing is in contact with the charge.

All of the high-energy physics colliders built in recent decades have collided one beam of particles with a second beam traveling in the opposite direction. For example, the Large Hadron Collider at CERN sends particles of opposite charges around a ring, with one beam traveling clockwise and the second traveling counterclockwise. Technically it is much more difficult to get the two beams to collide with one another in this way as compared to just having one beam slamming into a stationary target, yet this still how colliders are built. Consider the following two situations. In the first picture, (the modern collider design), two equal mass m particles collide, each with total energy Ecollider, to produce some exotic new particle of mass M, at rest. Conservation of energy says that 2Ecollider = Mc^2. On the other hand, in the second picture (the fixed-target design), a particle of mass m with energy Efixed hits an identical mass particle at rest, producing the same exotic new…