Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. treat the solenoids as ideal. the outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. the length, number of turns, and current of the outer solenoid are, respectively, 20.9 cm, 593 turns, and 5.65 a. for the inner solenoid the corresponding quantities are 19.1 cm, 343 turns, and 1.37 a. at what speed, , should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the axis of the solenoids at a radius of 5.53 mm?

The material that keeps its new shape after it is stretched is called?

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.

Awater slide of length l has a vertical drop of h. abby's mass is m. an average friction force of magnitude f opposes her motion. she starts down the slide at initial speed vi. use work-energy ideas to develop an expression for her speed at the bottom of the slide. then evaluate your result using unit analysis and limiting case analysis. express your answer in terms of the variables h, m, l, vi, f and appropriate constants. vf v f