### Question on Brass SphereA solid brass sphere weighs 190 N in air and has a density of 8.6 x 10³ kg/m³. What is its volume?#### Answer Options:- [ ] 4.3 x 10^-4 m³- [ ] None of the given- [ ] 3.2 x 10^-2 m³- [ ] 4.5 x 10^-5 m³- [ ] 2.3 x 10^-3 m³- [ ] 2.2 x 10^-2 m³### Explanation:In the given question, we need to determine the volume of a solid brass sphere based on the provided weight and density.Let's break down the steps to solve it:1. **Identify Given Data:** - Weight of the brass sphere (W): 190 N - Density of the brass sphere (ρ): 8.6 x 10³ kg/m³2. **Formula Required:** - Weight (W) relates to mass (m) and gravity (g): \( W = mg \) - Density (ρ) is defined as mass (m) per unit volume (V): \( \rho = \frac{m}{V} \) - Volume (V) can be derived from density and mass.3. **Steps to Solve:** - Calculate the mass (m) from weight (W): \( m = \frac{W}{g} \) - Use the standard gravitational acceleration \( g = 9.81 \, \text{m/s}^2 \): \( m = \frac{190 \, \text{N}}{9.81 \, \text{m/s}^2} = 19.37 \, \text{kg} \) - Calculate the volume (V) using density (ρ): \( V = \frac{m}{\rho} = \frac{19.37 \, \text{kg}}{8.6 \times 10³ \, \text{kg/m}³} \approx 2.25 \times 10^{-3} \, \text{m}³ \)Based on these calculations, you can identify the correct answer from the options provided.

Answered: Image /qna-images/answer/f19a9dff-7bf0-43e8-8d45-48c07f5ea2dc.jpg

Answered: A solid brass sphere weighs 190 N in…

A solid brass sphere weighs 190 N in air and has a density of 8.6 x 103 kg/m3. What is its volume? 4.3 x 104 m3 ONone of the given O 3.2 x 102 m3 O 4.5 x 105 m O2.3 x 10-3 m3 O 2.2 x 102 m3

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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