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(a) Calculate the force that the water exerts on the cork (which pushes it outwards). Give your answer in units of Newtons.

(a) Calculate the force that the water exerts on the cork (which pushes it outwards). Give your answer in units of Newtons.

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(b) Now suppose that the cork is removed and water begins to flow out of the hole. Immediately after the cork is removed, what is the speed of the water coming out of the hole? Give your answer in units of cm/s. Hint: you will need to use Bernoulli’s equation and the equation of continuity to solve this.
**Problem Description:** A cylindrical tank of water with a diameter of 25.0 cm is open to the atmosphere. There is a circular hole in the tank with a diameter of 4.00 cm, which is located 15.0 cm below the water line. The hole is plugged by a cork to prevent any water from leaking out. Assume the surrounding air is at atmospheric pressure, and the density of the water is 1.00 g/cm³. **Task:** (a) Calculate the force that the water exerts on the cork (which pushes it outwards). Give your answer in units of Newtons. **Diagram Explanation:** The diagram illustrates a side view of the cylindrical tank. The tank is filled with water up to a certain level and a hole exists on its side, sealed by a cork. Key dimensions are marked: - **Tank Diameter:** 25.0 cm - **Hole Diameter:** 4.00 cm - **Depth of the Hole below Water Line:** 15.0 cm The layout visually depicts the cylindrical shape of the tank, the water level inside the tank, and the position of the hole relative to the water surface.
Transcribed Image Text:**Problem Description:** A cylindrical tank of water with a diameter of 25.0 cm is open to the atmosphere. There is a circular hole in the tank with a diameter of 4.00 cm, which is located 15.0 cm below the water line. The hole is plugged by a cork to prevent any water from leaking out. Assume the surrounding air is at atmospheric pressure, and the density of the water is 1.00 g/cm³. **Task:** (a) Calculate the force that the water exerts on the cork (which pushes it outwards). Give your answer in units of Newtons. **Diagram Explanation:** The diagram illustrates a side view of the cylindrical tank. The tank is filled with water up to a certain level and a hole exists on its side, sealed by a cork. Key dimensions are marked: - **Tank Diameter:** 25.0 cm - **Hole Diameter:** 4.00 cm - **Depth of the Hole below Water Line:** 15.0 cm The layout visually depicts the cylindrical shape of the tank, the water level inside the tank, and the position of the hole relative to the water surface.
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