2. We canusea simple model which uses ourunderstanding of uniform circular motionestimate the largest possible rotational speed of aplanet around its own axis. For a planet of mass Mand radius R our model assumes that the planet"falls apart" when the loose rocks on the surface atthe equator are no longer sitting on the surfacebecause they leave the surface. A loose rock of massm is shown on the equator in the drawing.toMRВ.The planet rotates about its axis. What is the maximum angularvelocity that the planet can have before the loose rock of mass m on the equatorstarts to leave the surface and the planet "falls apart"? Express your answer interms of G, M, and R.D. For the situation described in part B, what would the length of a "day"be on earth if we were spinning at this maximum angular velocity? No, you donot need to know the mass of the earth to solve this. The radius of the earth isRe=6.374x106 m.

Given: Mass of planet = M Radius of planet = R Mass of stone = m

2. We can use a simple model which uses our understanding of uniform circular motion to estimate the largest possible rotational speed of a planet around its own axis. For a planet of mass M and radius R our model assumes that the planet "falls apart" when the loose rocks on the surface at the equator are no longer sitting on the surface because they leave the surface. A loose rock of mass m is shown on the equator in the drawing. M m. R В. The planet rotates about its axis. What is the maximum angular velocity that the planet can have before the loose rock of mass m on the equator starts to leave the surface and the planet "falls apart"? Express your answer in terms of G, M, and R. For the situation described in part B, what would the length of a "day" be on earth if we were spinning at this maximum angular velocity? No, you do D. not need to know the mass of the earth to solve this. The radius of the earth is Re=6.374x106 m.

2. We can use a simple model which uses our understanding of uniform circular motion to estimate the largest possible rotational speed of a planet around its own axis. For a planet of mass M and radius R our model assumes that the planet "falls apart" when the loose rocks on the surface at the equator are no longer sitting on the surface because they leave the surface. A loose rock of mass m is shown on the equator in the drawing. M m. R В. The planet rotates about its axis. What is the maximum angular velocity that the planet can have before the loose rock of mass m on the equator starts to leave the surface and the planet "falls apart"? Express your answer in terms of G, M, and R. For the situation described in part B, what would the length of a "day" be on earth if we were spinning at this maximum angular velocity? No, you do D. not need to know the mass of the earth to solve this. The radius of the earth is Re=6.374x106 m.

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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