Question

The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve ?=0.7?^2 and below the line ?=160 (Here, distances are measured in meters.) The water level is 40 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure. (Water has a density of 1000kg/m^3 and the acceleration of gravity is 9.8m/sec2. )

(5 points) A carpet which is 7 meters long is completely rolled up. When ? meters have been unrolled, the force required to unroll it further is

?(?)=1000/(?+1)^5 Newtons.

How much work is done unrolling the entire carpet? Your answer must include the correct units.

Answer 1