1. ## Force

The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve and below the line . (Here, distances are measured in meters.) The water level is meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure.

(Water has a density of , and the acceleration of gravity is )

2. Originally Posted by amiv4
The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve and below the line . (Here, distances are measured in meters.) The water level is meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure.

(Water has a density of , and the acceleration of gravity is )
y = 0.6x^2
x^2 = y/0.6
x = sqrt[y /0.6]

dA = 2x*dy
dF = (1000*9.8)dA = 9800[2sqrt(y /0.6)]dy
dF = (25,303.5)sqrt(y) dy

F = (25,303.5)INT.(0 to 150)[sqrt(y)]dy
F = (25,303.5)[(2/3)(y^(3/2)]|(0 to 150)
F = (25,303.5)(2/3)[(150)^(3/2) -0]