### Physics Problem: Moment of InertiaSarah has a hollow ball that rolls across the room. If it has a diameter of 4.00 meters and a mass of 3000 grams, find its moment of inertia.#### Answer Choices:- 6 kg m²- 48 kg m²- 8 kg m²- 4.8 kg m²- 12 kg m²#### Explanation:To solve this problem, use the formula for the moment of inertia of a hollow sphere:\[ I = \frac{2}{3} M R^2 \]where \( M \) is the mass and \( R \) is the radius.Given:- Diameter of the ball \( d = 4.00 \) meters- Radius \( R = \frac{d}{2} = 2.00 \) meters- Mass \( M = 3000 \) grams = 3 kgSubstitute the given values into the formula:\[ I = \frac{2}{3} \times 3 \, \text{kg} \times (2.00 \, \text{m})^2 \]\[ I = \frac{2}{3} \times 3 \, \text{kg} \times 4.00 \, \text{m}^2 \]\[ I = \frac{2}{3} \times 12 \, \text{kg} \cdot \text{m}^2 \]\[ I = 8 \, \text{kg} \cdot \text{m}^2 \]Therefore, the correct answer is **8 kg m²**.

Moment of inertia of hollow sphere is given asI = 23MR2WhereM=mass of hollow sphereR=radius of…

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Sarah has a hollow ball that rolls across the room. If it has a diameter of 4.00 m and a mass of 3000 grams, find its' moment of inertia?

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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