AP Physics Free-Response Practice Question

In summary, the conversation discusses a cylindrical tank filled with water of density 1000 kg/m^3 at a height of 0.70 m, with a hole of radius 0.0010 m opened at the bottom. Water flows out of the tank through the hole and an opening in the stand, and is collected in a tray 0.30 m below the hole. Water is continuously added to the tank to maintain a constant water level. The following calculations were made:(a) The speed at which the water flows out from the hole was calculated using Bernoulli's equation.(b) The volume rate at which water flows out from the hole was calculated by finding the displacement.(c) The volume of water collected in the
  • #1
xpeachpleasurex
3
0
A cylindrical tank containing water of density 1000 kg/m^3 is filled to a height of 0.70 m and placed on a stand. A hole of radius 0.0010 m in the bottom of the tank is opened. Water then flows through the hole and through an opening in the stand and is collected in a tray 0.30 m below the hole. At the same time, water is added to the tank at an appropriate rate so that the water level in the tank remains constant.

(a) Calculate the speed at which the water flows out from the hole

(b) Calculate the volume rate at which water flows out from the hole

(c) Calculate the volume of water collected in the tray in t = 2 minutes

(d) Calculate the time it takes for a given droplet of water to fall 0.25 m from the hole

Well...I started with Bernoulli's equation and calculated the height to find out how far it sinks? And then I calculated the displacement? I don't know...
 
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  • #2
Do not crosspost. And please read the forum guidelines.

Which part are you referring to? What height did you calculate? You are already given the height. Please show your calculations explicitly for each part. It's very hard for us to decipher what you've done.
 
  • #3


I would first start by identifying the relevant equations and principles that can be applied to solve this problem. In this case, we can use Bernoulli's equation, which relates the pressure, velocity, and height of a fluid in a closed system.

To answer part (a), we can use Bernoulli's equation to equate the pressure at the surface of the water in the tank (atmospheric pressure) to the pressure at the hole (due to the weight of the water column above it) and solve for the velocity of the water flowing out of the hole. This will give us the speed at which the water flows out of the hole.

For part (b), we can use the continuity equation, which states that the volume rate of flow is constant in a closed system. We can use the velocity calculated in part (a) and the area of the hole to calculate the volume rate at which water flows out of the hole.

To answer part (c), we can use the volume rate calculated in part (b) and the time given (2 minutes) to determine the volume of water collected in the tray.

Finally, for part (d), we can use the equation for the time it takes for an object to fall a certain distance under the influence of gravity. We can use the velocity calculated in part (a) and the distance given (0.25 m) to determine the time it takes for a droplet of water to fall from the hole to the tray.

It is important to clearly state the assumptions made and the equations used in solving each part of the problem. It is also helpful to show the calculations step by step and include units for all quantities. This will ensure a clear and organized response to the given problem.
 

1. What is the purpose of AP Physics Free-Response Practice Questions?

The purpose of AP Physics Free-Response Practice Questions is to help students prepare for the AP Physics exam by providing them with practice questions that simulate the format and difficulty level of the actual exam. These questions are designed to assess students' understanding of key concepts and their ability to apply them in problem-solving scenarios.

2. How are AP Physics Free-Response Practice Questions different from multiple-choice questions?

AP Physics Free-Response Practice Questions are different from multiple-choice questions in that they require students to provide a written, detailed response rather than selecting a single correct answer. This allows students to demonstrate their understanding of concepts and apply them in a more comprehensive manner.

3. Are the AP Physics Free-Response Practice Questions similar to the questions on the actual AP Physics exam?

Yes, the AP Physics Free-Response Practice Questions are designed to be similar in format and difficulty level to the questions on the actual AP Physics exam. This helps students become familiar with the types of questions they will encounter on the exam and gain confidence in their ability to answer them.

4. How can students use AP Physics Free-Response Practice Questions to improve their exam performance?

Students can use AP Physics Free-Response Practice Questions to identify areas where they need more practice and to improve their problem-solving skills. By reviewing their responses and understanding the correct solutions, students can also gain a better understanding of key concepts and prepare more effectively for the AP Physics exam.

5. Are there any resources available to help students with AP Physics Free-Response Practice Questions?

Yes, there are many resources available to help students with AP Physics Free-Response Practice Questions. These include study guides, online practice tests, and review books. Students can also seek help from their teachers or join study groups to discuss and solve practice questions together.

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