dams at two different locations are needed to form a lake. when the lake is filled, the water level will be at the top of both dams. the dam

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Physics

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dams at two different locations are needed to form a lake. when the lake is filled, the water level will be at the top of both dams. the dam

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TRIPTIVT3GO TRIPTIVT3GO · Answer 1

The force of the water on Dam #2 is 8 times than the force on Dam #1. Hence, option (c) is correct.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

Let the height and wide of dam #1 is H and d respectively.

Then, the height and wide of dam #2 is 2H and 2d respectively.

Average force acting on the dam #1 = 1/2( pressure at the surface of the lake + pressure at the bottom of the lake) × area of the dam#1

= 1/2(0 + Hρg)×Hd

= H²ρgd/2

Average force acting on the dam #2 = 1/2( pressure at the surface of the lake + pressure at the bottom of the lake) × area of the dam#2

= 1/2(0 + 2Hρg)×2H × 2d

= 8H²ρgd/2

Hence, the force of the water on Dam #2 is 8 times than that on Dam #1.

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Your question is incomplete, but most probably full question was:

Dams at two different locations are needed to form a lake. when the lake is filled, the water level will be at the top of both dams. The Dam #2 is twice as high and twice as wide as Dam #1. How much greater is the force of the water on Dam #2 than the force on Dam #1? (Ignore atmospheric pressure; it is pushing on both sides of the dams.) A. 2 B. 4 C. 8 D. 16