You are working at a company that manufactures solenoids for industrial and research use. a client has ordered a solenoid that will be operated by a 1,000 v power supply and must be of length ℓ = 27.0 cm. a cylindrical experimental package of radius rs = 1.75 cm must fit inside the solenoid. the client wants the largest possible magnetic field inside the solenoid. the thinnest copper wires allowed by your company are awg 36, which corresponds to a wire diameter of dw = 0.127 mm. you determine the maximum magnitude of magnetic field (in t) that can be created in the solenoid to report to the client. (the resistivity of copper is 1.7 ✕ 10−8 ω · m. )

A33.1 g copper object is launched from a 1.5 m 30° steel incline positioned on the floor by being pulled up a string attached to a 50.0 g mass suspended vertically over a pulley. the object is projected towards a glass table where it lands when it is at the point along its trajectory with the lowest speed. it comes to a halt when it clears the opposite edge of the table. it then falls and lands on 9 physics texts each 5 cm thick that are stacked on the floor on the opposite side of the table. assume that the table does not have a ledge and the rectangular object experiences 0.05 n of air resistance as it falls towards the books. how far and how long did the object travel and how fast does it hit the books. assume that at the moment the copper object leaves the incline, the massless string and ideal pulley break off

Calculate the ratio of h+ ions to oh– ions at a ph = 6. find the concentration of h+ ions to oh– ions listed in table b of your student guide. then divide the h+ concentration by the oh– concentration. record this calculated ratio in table a of your student guide. compare your approximated and calculated ratios of h+ ions to oh– ions at a ph = 6. are they the same? why or why not? record your explanation in table a. what is the concentration of h+ ions at a ph = 6? mol/l what is the concentration of oh– ions at a ph = 6? mol/l what is the ratio of h+ ions to oh– ions at a ph = 6? : 1

The radius of an atom is closest in size to a