UNDERSTANDING THE UNIVERSE(LL)-W/CODE
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 1, Problem 21QAP
To determine

The cosmic address of the planet Tau Ceti e.

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Samus Aran from the Metroid series of video games has the ability to roll into a ball to get into smaller areas. Samus rolls down a path which drops down 22.0 m. If she was at rest when she started at the top, what is her linear velocity at the bottom of the path? Treat her as a solid sphere with a moment of inertia of 2/5 mr^2 .
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Because you are taking physics, your friend asks you to explain the detection of gravity waves that was made by LIGO in early 2016. (See the section that discusses LIGO.) To do this, you first explain about Einstein's notion of large masses, like those of stars, causing a curvature of spacetime. (See the section on general relativity.) To demonstrate, you put a bowling ball on your bed, so that it sinks downward and creates a deep depression in the mattress. Your sheet has a checked pattern that provides a nice coordinate system, as shown in the figure below. This is an example of a large mass (the bowling ball) creating a curvature of a flat, two-dimensional surface (the mattress) into a third dimension. (Spacetime is four dimensional, so its curvature is not easily visualized.) Then, you are going to amaze your friend by projecting a marble horizontally along a section of the sheet surface that is curved downward by the bowling ball so that the marble follows a circular path, as…
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