Acube of side 5cm is placed in a fluid. for the following velocity values, calculate the average divergence of the flow. is there a source or sink within this box? the velocities are given in cm/s. the cube is oriented so that the +z axis exits the front face, the +x axis exits the right face and the +y axis exits the top face. front. vr=30i+60j-30k right v 20i-20j+20 left v-100i+200j+300k ^ ^ top-5+ 50+ 10k bottom vbe0 back vb. =250k also draw a diagram showing these velocities.

Ametal ring 4.20 cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. these magnets produce an initial uniform field of 1.12 t between them but are gradually pulled apart, causing this field to remain uniform but decrease steadily at 0.240 t/s . (a) what is the magnitude of the electric field induced in the ring? (b) in which direction (clockwise or counterclockwise) does the current flow as viewed by someone on the south pole of the magnet?