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Question
Across an opening 40 m wide, dam A holds back a body of water that is 80 m deep. Across an opening 80 m wide, dam B holds back a body of water that is 40 m deep. Which dam experiences a greater total force on its surface?
Across an opening 40 m wide, dam A holds back a body of water that is 80 m deep. Across an opening 80 m wide, dam B holds back a body of water that is 40 m deep. Which dam experiences a greater total force on its surface?
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Solution
The correct option is A Dam A
The total force exerted by the water on a particular dam equals the sum of the product of pressure and area of the entire dam face. As pressure increases with depth, the elements of the area of dam A experiences a higher pressure than the elements of the area of dam B. Therefore, the total force on dam A is greater.
Dam A
The total force exerted by the water on a particular dam equals the sum of the product of pressure and area of the entire dam face. As pressure increases with depth, the elements of the area of dam A experiences a higher pressure than the elements of the area of dam B. Therefore, the total force on dam A is greater.
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