An above ground pool is being drained using a single hose as shown in the picture below. The hose has a circular cross-section with a diameter of 3.5 cm and runs from the bottom of the pool, up over the side of the pool, and extends 1.0 m below the pool where water is leaving the hose. The pool wall is 1.5 m tall and the pool is currently filled to a depth of 1.25 m. Assume the pool is much larger than the hose so that the depth of the pool changes very slowly. (a) What is the speed of the water leaving the hose? (b) What is the gauge pressure in the hose at point A?
An above ground pool is being drained using a single hose as shown in the picture below. The hose has a circular cross-section with a diameter of 3.5 cm and runs from the bottom of the pool, up over the side of the pool, and extends 1.0 m below the pool where water is leaving the hose. The pool wall is 1.5 m tall and the pool is currently filled to a depth of 1.25 m. Assume the pool is much larger than the hose so that the depth of the pool changes very slowly. (a) What is the speed of the water leaving the hose? (b) What is the gauge pressure in the hose at point A?
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An above ground pool is being drained using a single hose as shown in the picture below. The hose has a circular cross-section with a diameter of 3.5 cm and runs from the bottom of the pool, up over the side of the pool, and extends 1.0 m below the pool where water is leaving the hose. The pool wall is 1.5 m tall and the pool is currently filled to a depth of 1.25 m. Assume the pool is much larger than the hose so that the depth of the pool changes very slowly.
(a) What is the speed of the water leaving the hose?
(b) What is the gauge pressure in the hose at point A?
Transcribed Image Text:**Problem Statement:**
An above ground pool is being drained using a single hose, as shown in the picture below. The hose has a circular cross-section with a diameter of 3.5 cm and runs from the bottom of the pool, up over the side of the pool, and extends 1.0 m below the pool where water is leaving the hose. The pool wall is 1.5 m tall and the pool is currently filled to a depth of 1.25 m. Assume the pool is much larger than the hose so that the depth of the pool changes very slowly.
(a) What is the speed of the water leaving the hose?
(b) What is the gauge pressure in the hose at point A?
**Diagram Explanation:**
The diagram shows a side view of the pool and the hose setup. The pool is represented as a blue rectangle filled with water, and the red line represents the hose. Point A is labeled at the highest point of the hose, just above the water level on the other side of the pool wall.
- The pool is filled to a depth of 1.25 m.
- The hose's exit point is 1.0 m below the bottom of the pool.
- The pool wall is 1.5 m tall.
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