teresamorris1987
teresamorris1987 1d ago • 0 views

Solved Examples of Archimedes' Principle: Step-by-Step Solutions

Hey everyone! 👋 Let's dive into some solved examples of Archimedes' Principle. I always found this topic a bit tricky, but breaking it down step-by-step really helps. I hope this study guide and quiz helps you master it too! Good luck!🍀
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carla517 Jan 5, 2026

📚 Quick Study Guide

  • 🌊 Archimedes' Principle: States that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces.
  • ⚖️ Buoyant Force ($F_B$): The upward force exerted by a fluid that opposes the weight of an immersed object.
  • 📏 Formula: $F_B = \rho V g$, where $\rho$ is the density of the fluid, $V$ is the volume of the fluid displaced by the object, and $g$ is the acceleration due to gravity.
  • 💧 Density ($\rho$): Mass per unit volume. $\rho = \frac{m}{V}$
  • 🌎 Gravity (g): Acceleration due to gravity, approximately $9.8 m/s^2$ on Earth.
  • 🧊 Apparent Weight: The weight of an object submerged in a fluid is less than its weight in air due to the buoyant force. Apparent weight = Actual weight - Buoyant force.

🧪 Practice Quiz

  1. Question 1: A stone weighs 5 N in air and 3 N when immersed in water. What is the buoyant force acting on the stone?
    1. 2 N
    2. 3 N
    3. 5 N
    4. 8 N
  2. Question 2: A block of wood has a volume of 200 $cm^3$ and a density of 800 $kg/m^3$. What percentage of the block's volume is submerged when it floats in water (density 1000 $kg/m^3$) ?
    1. 60%
    2. 80%
    3. 20%
    4. 100%
  3. Question 3: A metal object weighs 50 N in air and 30 N when fully submerged in water. What is the volume of the object? (Density of water = 1000 $kg/m^3$, g = 9.8 $m/s^2$)
    1. 0.00204 $m^3$
    2. 0.00510 $m^3$
    3. 0.00306 $m^3$
    4. 0.00408 $m^3$
  4. Question 4: A balloon has a volume of 1 $m^3$ and is filled with helium (density = 0.18 $kg/m^3$). If the density of air is 1.29 $kg/m^3$, what is the buoyant force acting on the balloon?
    1. 1.29 N
    2. 12.64 N
    3. 129 N
    4. 1264 N
  5. Question 5: An object floats with 1/4 of its volume above the water surface. What is the density of the object if the density of water is 1000 $kg/m^3$?
    1. 250 $kg/m^3$
    2. 750 $kg/m^3$
    3. 1250 $kg/m^3$
    4. 500 $kg/m^3$
  6. Question 6: A cube with sides of 0.1 m is submerged in a liquid with a density of 1500 $kg/m^3$. What is the buoyant force on the cube?
    1. 1.47 N
    2. 14.7 N
    3. 147 N
    4. 1470 N
  7. Question 7: A piece of metal weighs 90 g in air and 80 g when immersed in water. Calculate its relative density.
    1. 7
    2. 8
    3. 9
    4. 10
Click to see Answers
  1. A
  2. B
  3. A
  4. B
  5. B
  6. B
  7. C

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