A coil lies flat on a level table top in a region where the magnetic field vector points straight up. The magnetic field suddenly disappears. When viewed from above, what is the direction of the induced current in the coil as the field disappears?

a) clockwise
b) counterclockwise
c) clockwise initially, then counterclockwise before stopping
d) there is no induced current in this coil because the field is gone

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j