**Problem Statement:**A metal cylinder displaces 515 cm³ of gasoline. Find the buoyant force of the gasoline.**Explanation:**To find the buoyant force, we can use the principle of buoyancy, which is governed by Archimedes' principle. This principle states that the buoyant force (F_b) on an object submerged in a fluid is equal to the weight of the fluid that is displaced by the object.**Formula to Use:**F_b = ρ * V * gWhere:- F_b is the buoyant force.- ρ (rho) is the density of the fluid (gasoline, in this case).- V is the volume of the fluid displaced (515 cm³).- g is the acceleration due to gravity (approximately 9.81 m/s²).**Additional Information Required:**To find the buoyant force, you need the density of gasoline, which is approximately 0.71 g/cm³. Note that this value can vary slightly depending on temperature and specific formulation.**Calculating Buoyant Force:**1. Convert the volume to cubic meters if necessary (optional, as cm³ is fine for the density given in g/cm³).2. Use the density of gasoline (0.71 g/cm³).3. Plug in the values into the buoyancy formula.This calculation will provide the buoyant force exerted by the displaced gasoline on the metal cylinder.

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Description: **Problem Statement:**A metal cylinder displaces 515 cm³ of gasoline. Find the buoyant force of the gasoline.**Explanation:**To find the buoyant force, we can use the principle of buoyancy, which is governed by Archimedes' principle. This principle

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7. A metal cylinder displaces 515 cm³ of gasoline. Find the buoyant force of the gasoline.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Problem Statement:**

A metal cylinder displaces 515 cm³ of gasoline. Find the buoyant force of the gasoline.

**Explanation:**

To find the buoyant force, we can use the principle of buoyancy, which is governed by Archimedes' principle. This principle states that the buoyant force (F_b) on an object submerged in a fluid is equal to the weight of the fluid that is displaced by the object.

**Formula to Use:**

F_b = ρ * V * g

Where:
- F_b is the buoyant force.
- ρ (rho) is the density of the fluid (gasoline, in this case).
- V is the volume of the fluid displaced (515 cm³).
- g is the acceleration due to gravity (approximately 9.81 m/s²).

**Additional Information Required:**

To find the buoyant force, you need the density of gasoline, which is approximately 0.71 g/cm³. Note that this value can vary slightly depending on temperature and specific formulation.

**Calculating Buoyant Force:**

1. Convert the volume to cubic meters if necessary (optional, as cm³ is fine for the density given in g/cm³).
2. Use the density of gasoline (0.71 g/cm³).
3. Plug in the values into the buoyancy formula.

This calculation will provide the buoyant force exerted by the displaced gasoline on the metal cylinder.

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