AP Physics C Mechanics: Pascal's Principle Exam Questions

📚 Quick Study Guide

• 🌊 Pascal's Principle: A change in pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and to the walls of its container.
• 📐 Formula: $P = \frac{F}{A}$, where:
  • $P$ is the pressure.
  • $F$ is the force.
  • $A$ is the area.
• ⚙️ Hydraulic Lift: $P_{in} = P_{out}$ implies $\frac{F_{in}}{A_{in}} = \frac{F_{out}}{A_{out}}$. This is the basis of hydraulic systems.
• 💡 Important Notes: Pascal's Principle applies only to fluids (liquids and gases). Assume the fluid is incompressible.

Practice Quiz

1. A hydraulic lift has an input piston of area $0.1 m^2$ and an output piston of area $1 m^2$. If a force of $10 N$ is applied to the input piston, what is the force exerted by the output piston?

   1. $1 N$
   2. $10 N$
   3. $100 N$
   4. $1000 N$

2. A container is filled with water. If the pressure at a certain depth is $P$, what will be the pressure at the same depth if the container is filled with twice the amount of water?

   1. $P$
   2. $2P$
   3. $P/2$
   4. $4P$

3. A hydraulic system is used to lift a car. The input piston has a diameter of 5 cm, and the output piston has a diameter of 50 cm. What is the mechanical advantage of this system?

   1. 10
   2. 100
   3. 1000
   4. 1

4. A closed container is filled with an incompressible fluid. If the pressure at one point in the fluid is increased by 10 Pa, what is the increase in pressure at another point in the fluid?

   1. 0 Pa
   2. 5 Pa
   3. 10 Pa
   4. 20 Pa

5. A force of 20 N is applied to a small piston with an area of 0.001 $m^2$ in a hydraulic system. What force will be exerted on a large piston with an area of 0.1 $m^2$?

   1. 2 N
   2. 20 N
   3. 200 N
   4. 2000 N

6. Which of the following statements best describes Pascal's Principle?

   1. Pressure is only exerted on the bottom of a container.
   2. Pressure is transmitted equally throughout an enclosed fluid.
   3. Pressure increases with depth.
   4. Pressure is only exerted on the sides of a container.

7. A hydraulic jack has an input piston with a radius of 1 cm and an output piston with a radius of 10 cm. If a force of 5 N is applied to the input piston, what is the force exerted by the output piston?

   1. 5 N
   2. 50 N
   3. 500 N
   4. 5000 N