Two protons are aimed directly toward each other by a cyclotron accelerator with speeds of 2.70×105 m/sm/s , measured relative to the earth. Find the maximum electrical force that these protons will exert on each other.

A cyclotron is a machine that can be used to accelerate charged particles to achieve large kinetic energies.  The resulting beams of highly energetic particles then can be used for many medical applications, including Proton Therapy (a more precise form of "radiation" used in the treatment of some cancers).   A description of the cyclotron can be found in section 19.3 of the text.  If a proton (of mass 1.673x10-27kg) is accelerated to its maximum velocity inside a dee with radius 1.32cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 1.84x10-2T, what is the resulting velocity of the proton in units of km/s (kilometer per second)?

What is the magnitude of the electrical force between two uranium nuclei placed a distance of 1.42 x 10^-12 m apart from one another? 1.642 N 0.580 N 0.966 N 1.256 N

The proton-proton chain is the multi-step process that powers the Sun via fusion of hydrogen into helium. In the first step of the proton-proton chain, a positron is produced when two protons fuse together (with one proton converting to a neutron). The emitted positron quickly collides with its anti-particle, the electron. (Recall that the electron and positron have exactly the same mass, but opposite electric charges.) The electron and positron then completely annihilate, converting all of their rest mass into two gamma-ray photons. Given a single particle of mass m, the amount of energy E produced when all of its mass is converted to energy is given by Einstein's famous formula, E = m c?, where c = 2.9979 x 10° m/s is %3D the speed of light. We also learned that the energy Ephoton of a single photon is related to its frequency f or wavelength A via Ephoton = hf = hc where h = 6.626 x 1034 m² kg/s is a fundamental constant of nature called Planck's constant. In the electron + positron…