Problem Set 6

# Problem Set 6 - Physics 341: Problem Set #6 due October 16...

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Physics 341: Problem Set #6 due October 16 You will need to make some assumptions to answer some of these questions. Explain your reasoning, and show your work! 1. You may have heard that a person falling feet-Frst into a black hole would be stretched out by the tidal force, in a process a ectionately called “spaghettiFcation.” But would the e ect actually be dramatic? Let’s consider: (a) What is the tidal force on a person of height h at the event horizon? (You may use Newtonian gravity.) How does it scale with the black hole mass? (b) It seems reasonable to say that a person would “feel” the stretching only if the tidal acceleration exceeds the familiar acceleration due to gravity on Earth. ±ind the black hole mass that would produce such a tidal acceleration at the event horizon (for h , use your own height 1 ). (c) Use your results from (a) and (b) to say whether you would be spaghettiFed by the black hole at the center of the Milky Way ( M =4 10 6 M ± ).

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## This note was uploaded on 11/13/2011 for the course PHY 341 taught by Professor Gawsier during the Spring '11 term at Rutgers.

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Problem Set 6 - Physics 341: Problem Set #6 due October 16...

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