7.) A tank has cross sections in the form of i A tank has is 6m. wide, its heigh

Question

7.) A tank has cross sections in the form of i A tank has is 6m. wide, its height is 4m. is om, wide its height is 4m., and its length is 10m. Find the work done in flg the tank with a liquid that has weight density , through a hole in its bottom, by a pump located 5m. below its vertex. (Leave answer in p 7.) cross sections in the form of isosceles triangles, vertex down. The top (Spts. each) 8.) A chain lying on the ground is 10 m long and its mass is 80 kg. How much work is required to raise one end of the chain to a height of 6 m? (5pts.)

Explanation / Answer

8.

mass density per unit length

= m/x

= 80/10

= 8 kg/m

dW = F dx

dW = g x dx

W = g x dx

W = ½ g x² + C

W(0) = 0

0 = ½ g (0)² + C

C = 0

W(x) = ½ g x²

W(6) = ½ (8) (9.8) (6)²

W(6) = 1411.2 J

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