An 8.0cm× 8.0 cm square loop is halfway into a magnetic field that is perpendicular to the plane of the loop. the loop's mass is 10 g and its resistance is 0.040 ω . a switch is closed at t =0s, causing the magnetic field to increase from 0 to 1.0 t in 0.010 s. a) what is the induced current in the square loop? b)with what speed is the loop "kicked" away from the magnetic field? hint: what is the impulse on the loop?

A5 foot by 5 foot box culvert is buried 6 feet beneath the surface of the ground. a crosssection of this very long culvert (into and out of the page) is illustrated below. assume that the soil in which the culvert is buried has the following properties: jt = 120 pcf, w = 12%, ko = 0.50, ka = 0.33, and kp = 3.00. calculate the total horizontal force per unit length of culvert (fh) felt on one of the vertical faces of the culvert.