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Physics Lab 8 (Online Simulation) BUOYANCY Mechanics Unit 8 TA name: Due Date: Student Name: Student ID: Objective: This activity is intended to enhance your physics education. We offer it as a virtual lab online. We think it will help you make connections between predictions and conclusions, concepts and actions, equations and actual motions. We also think that if you give this activity a chance, it will be fun! This is an opportunity to learn a great deal. Answer all questions as you follow the procedure in running the simulation. As you always do, be familiar with the simulation before you carry out the activity. The Buoyancy simulation has two tabs, “Intro” and “Buoyancy playground”. Using the “Intro” tab, you can practice seeing the difference and/or similarities between two blocks by selecting same mass, same volume, or same density. You can read the values for mass and/or Forces if you check boxes under “Readouts”. The direction of forces can also be visualized by checking boxes under the “Show Forces”. See if you have differences in reading when you weigh a block in air and in one of the fluids, oil or water. When you use the “Buoyancy playground tab, you will get all controlling features with better options. From the top left display, you can choose the type of material you want to work with or your own Block. For the chosen object, you can adjust its mass and/or volume. You can also duplicate the display if you choose “two” under “Blocks” from the top right corner. The Fluid density can be controlled using the slide just under the fluid. Physics Lab 8 (Online Simulation) Introduction: ARCHIMEDES’ PRINCIPLE: Any fluid applies a buoyant force to an object that is partially or completely immersed in it; the magnitude of the buoyant force equals the weight of the fluid that the object displaces: 𝑀𝑎𝑔𝑛𝑖𝑡𝑢𝑑𝑒 𝑜𝑓 𝑏𝑢𝑜𝑦𝑎𝑛𝑡 𝑓𝑜𝑟𝑐𝑒 (𝐹𝐵 ) = 𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑓𝑙𝑢𝑖𝑑 𝑑𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑑 (𝑊𝐹𝐷 ) Since the decrease in weight for an object measured in a fluid with higher density than air is because of the buoyant force, the difference in weight (W) is also equal to FB. The weight of fluid displaced can explicitly written as follows, 𝑊𝐹𝐷 = 𝑚𝐹𝐷 𝑔 = 𝜌𝑓𝑙𝑢𝑖𝑑 𝑉𝐹𝐷 𝑔 where 𝑉𝐹𝐷 = Δ𝑉𝑙𝑖𝑞𝑢𝑖𝑑 = 𝑉2 − 𝑉1 and 𝑉𝐹𝐷 = 𝑉𝑜𝑏𝑗𝑒𝑐𝑡 𝑠𝑢𝑏𝑚𝑒𝑟𝑔𝑒𝑑 The effect the buoyant force has depends on its strength compared with the strengths of the other forces that are acting. For example, if the buoyant force is strong enough to balance the force of gravity, the object will float in a fluid. Physics Lab 8 (Online Simulation) Procedure – Buoyancy Part I https://ophysics.com/fl1.html 1. Click “Reset.” a. Set 𝜌𝑜 , the Object Density, to 2 g/cm3. b. Set 𝜌𝐹 , the Fluid Density, to 1 g/cm3. c. Click “Run” and describe what happens to the block. ___________________________________________________________________________ ___________________________________________________________________________ d. e. f. g. Click “Reset.” Now set 𝜌𝑜 , the Object Density, to 1 g/cm3. Keep 𝜌𝐹 , the Fluid Density, at 1 g/cm3. Click “Run” and describe what happens to the block. ______________________________________________________________________________ ______________________________________________________________________________ h. With the simulation still running, change the Object Density to 0.9 g/cm3. Describe what happens. ______________________________________________________________________________ ______________________________________________________________________________ i. Now change the Object Density to 1.1 g/cm3. Describe what happens. ______________________________________________________________________________ ______________________________________________________________________________ 2. Click “Reset.” a. Set the Object Density to 1 g/cm3 and the Fluid Density to 2 g/cm3. b. Click “Run” and wait for the motion to stop. c. What are the Volume Above and Volume Below values? i. 𝑉 𝑎𝑏𝑜𝑣𝑒 = _____ 𝑉 ii. 𝑉 𝑏𝑒𝑙𝑜𝑤 = _____ 𝑉 Physics Lab 8 (Online Simulation) d. Assume the total volume of the object is 5.6 liters. How much liquid is it displacing? i. 𝑉𝐿𝐷 = _______ 𝐿 3. Click “Reset.” a. Set the Object Density to 1 g/cm3 and the Fluid Density to 1.3 g/cm3. b. Click “Run” and wait for the motion to stop. c. What are the Volume Above and Volume Below values? i. 𝑉 𝑎𝑏𝑜𝑣𝑒 = _____ 𝑉 ii. 𝑉 𝑏𝑒𝑙𝑜𝑤 = _____ 𝑉 d. Assume the total volume of the object is 8.2 liters. How much liquid is it displacing? i. 𝑉𝐿𝐷 = _______ 𝐿 4. a. A box floats on the surface of a liquid with a Fluid Density of 1.3 kg/L, displacing 5 liters. Calculate the buoyant force acting on the box. 𝐹𝐵 = ____𝑁 b. Calculate the mass of that box. 𝑚𝑏𝑜𝑥 = ______ 𝑘𝑔 Physics Lab 8 (Online Simulation) Part II 1. Click “Reset” and check the “Show Numbers” box. a. Set the Fluid Density to 1 g/cm3. b. Set the Object Density to 2 g/cm3. c. Run and wait until movement has stopped. d. Record the following values: i. Volume of Object = ______ cm3 ii. Mass of Object = ______ kg iii. Buoyant Force = ______ N iv. Object Weight = ______ N v. Normal Force = ______ N e. Now change the Object Density to 3 g/cm3 and record the following values again: i. Volume of Object = ______ cm3 ii. Mass of Object = ______ kg iii. Buoyant Force = ______ N iv. Object Weight = ______ N v. Normal Force = ______ N f. Which values changed? Circle all that apply. i. Mass ii. Buoyant Force iii. Object Weight iv. Normal Force g. Which values did not change? Circle all that apply. i. Mass ii. Buoyant Force iii. Object Weight iv. Normal Force Physics Lab 8 (Online Simulation) h. Explain why the value(s) you circled in Part g remained constant. ________________________________________________________________________ ________________________________________________________________________ Part III http://thephysicsaviary.com/Physics/Programs/Labs/ForceBuoyancy/ 1. Follow the above link. Click “Begin.” a. Set the Bottle Mass to 2000 g and the Bottle Volume to 600 mL. b. Set the Fluid to Gasoline. c. Record the measured Weights of the bottle before and after it has been fully submerged. i. 𝑊𝑖 = ______ 𝑁 d. Calculate the change in Weight. ii. 𝑊𝑓 = _____ 𝑁 i. Δ𝑊 = _____ 𝑁 e. Calculate the density of the gasoline, using Archimedes’ Principle and the definition of the displaced fluid’s weight. 𝜌𝑔𝑎𝑠𝑜𝑙𝑖𝑛𝑒 = ______ 𝑘𝑔/𝐿 2. Repeat the above steps for Maple Syrup. a. 𝑊𝑖 = ______ 𝑁 b. Δ𝑊 = ____________ c. 𝜌𝑠𝑦𝑟𝑢𝑝 = ______ 𝑘𝑔/𝐿 ii. 𝑊𝑓 = _____ 𝑁 Physics Lab 8 (Online Simulation) 3. Repeat the above steps for Crude Oil. a. 𝑊𝑖 = ______ 𝑁 ii. 𝑊𝑓 = _____ 𝑁 b. Δ𝑊 = ____________ c. 𝜌𝑜𝑖𝑙 = ______ 𝑘𝑔/𝐿 4. Explain why we can’t use this experiment to find the density of mercury using the bottle mass and volume that we have chosen. Why can we find it if we change these values? _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________

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