A container of water with an overflow tube, similar to that shown in Figure 9.14b, sits on a scale that reads \(40 \mathrm{~N}\). The water level is just below the exit tube in the side of the container. (a) An \(8.0-\mathrm{N}\) cube of wood is placed in the container. The water displaced by the floating cube runs out of the exit tube into another container that is not on the scale. Will the scale reading then be (1) exactly \(48 \mathrm{~N}\), (2) between \(40 \mathrm{~N}\) and \(48 \mathrm{~N}\), (3) exactly \(40 \mathrm{~N}\), or (4) less than \(40 \mathrm{~N}\) ? (b) Suppose you pushed down on the wooden cube with your finger such that the top surface of the cube was even with the water level. How much force would have to be applied if the wooden cube measured \(10 \mathrm{~cm}\) on a side? 

Transcribed Image Text:

10 5 8.0 N 10- Newtons 10 N (b) 2.0 Newtons