A proton moves in a uniform magnetic field B = (0.75 T)i and has a certain velocity. At time t = 0 the proton has a velocity v (3.0 x 105 m/s) - (4.0 105 m/s) and is located at the origin. = a. Draw a picture that clearly labels both and B in the xz-plane. b. Will the path be circular or helical? Explain in your reasoning in 1-2 sentences. c. At this time, calculate the magnitude and unit vector direction of the acceleration of the proton. d. Calculate the radius if the path is either circular or helical. e. At time t = T, where T is the period of motion, what is the vector displacement of the proton from its position at t = 0? Consider the mass spectrometer shown below. A proton enters midway between a velocity selector with a velocity v. The selector is immersed in a uniform magnetic field B = 25.0 mT, has plate separation distance d = 40.0 cm, and is charged by a potential difference. The proton leaves the selector, enters a region of uniform magnetic field space B 1.50 T, and enters a detector at a distance x = is measured from the top of the selector plate. = 2d, which Lepeq edi to malin x rit gnol B2 meiste pniwollot end to dirtWA Inestus + d ablani beosi al llco pritout a. Determine the directions of E and B inside the selector, and the direction of B2 outside of the selector. 1 b. Calculate the speed v of the proton throughout its motion. c. Calculate the magnitude of the electric field E that will enable the proton to pass through the selector undeflected. d. How much time elapsed when the proton left the selector and hit the detector?