A proton has a mass of 1.67 x 10-27 kg, has a charge of 1.60 x 10-19 C, and moves is a circle of radius 21.0 cm perpendicular to a magnetic field of 4000G. Find (a) the speed of the proton and (b) the period of the motion.

In a mass spectrometer, a beam of protons enters a magnetic field. Some protons make exactly a one-quarter circular arc of radius 0.50 m. a) If the field is always perpendicular to the proton's velocity, what is the field's magnitude if exiting protons have a kinetic energy of 10. keV? b) How long does it take the proton to complete the quarter circle? c) Find the net force (magnitude) on a proton while it is in the field.

Calculate the magnetic force on an electron in the following cases. Provide your answers in component form (Here i, j, k denote the unit vectors for the x,y, and z directions, respectively.): a. A proton with velocity v = (1.20×104 i) m/s moving in a magnetic field of magnitude (0.7 k) T. Fx Fy F₂ Submit Answer Tries 0/10 = b. A proton with velocity v = (1.70×104 i) m/s moving in a magnetic field of magnitude (0.05 i + 0.7 j) T. Fx = Fy= F₂= Submit Answer Tries 0/10 c. A proton with velocity v = (1.50×104 i +5.00×10³ j) m/s moving in a magnetic field of magnitude (0.65 i + 0.85 k) T. Fx Fy= F₂ = Submit Answer Tries 0/10 Fy b. A proton with velocity v = (2.70×104 i +2.10×104 j+ 1.40×104 k) m/s moving in a magnetic field of magnitude (0.95 i -0.75 j + 0.2 k) T. Fx = = F₂ = Submit Answer Tries 0/10

An electron moves up at a velocity of 9.8 x 104 m/s and has a magnetic force of 5.6 x 10-18 N pointed to the right.  (me = 9.11 x 10-31 kg) a) What is the direction of the magnetic field? b) What is the strength of the magnetic field? c) What is the radius of the circle the electron makes?