A large water storage container is filled to a depth of 3.0 m. The volume above the water is filled with air. In order to pump the water from the container, the air pressure in the container is increased by 3.0 $\times$ 105 N/m². What happens to the pressure in the water at a depth of 1.0 m when the air pressure is increased? A)Nothing, it is still at a depth of 1.0 m and the pressure in the water depends only on the depth. B)It increases by 1.0 $\times$ 105 N/m², since it is at 1/3 the depth of the water. C)It increases by 2.0 $\times$ 105 N/m², since it is at 2/3 the depth from the bottom of the container. D)It increases by 3.0 $\times$ 105 N/m². E)It increases by 3.0 $\times$ 105 N/m² + 9.8 $\times$ 103 N/m² since it is 1.0 m deep in the water.

Question

Quizplus · Accepted Answer

When the air pressure in the container is increased, the pressure in the water will increase by an equal amount throughout the container. Therefore, the pressure at a depth of 1.0 m will increase by the same amount as the air pressure, which is 3.0 105 N/m2. Choice A is incorrect because the pressure in the water depends on the depth and the density of the water, but it will still increase with the increase in air pressure. Choice B is incorrect because the pressure in the water is not directly proportional to the depth, but rather increases with depth due to the weight of the water. Choice C is incorrect because the pressure in the water does not depend on the distance from the bottom of the container. Choice E is incorrect because the additional term of 9.8 103 N/m2 is the pressure due to gravity, which is already taken into account in the pressure due to the water depth.

A Large Water Storage Container Is Filled to a Depth ×\times×

A Large Water Storage Container Is Filled to a Depth $\times$