Chapter 33, Problem 031 SN Your answer is partially connect. Try again. As a com

Question

Chapter 33, Problem 031 SN Your answer is partially connect. Try again. As a comet swings around the Sun, ice on the comet's surface vaporizes, releasing trapped dust particles and ions. The ions, because they are electrically charged, are forced by the electrically charged solar wind nto a straight ion tail that points radially away from the Sun (see the figure The (electrically neutral) dust particles are pushed radially outward from the Sun by the radiation force on them from sunlight, Assume that the dust particles are spherical, have mass density p, and are totally absorbing. (a) What radius must a particle have in order to follow a straight path, like path 2 in the figure? (b) If its radius is larger, does its path curve away from the Sun (like path 1, show "1" as answer) or toward the Sun (like path 3 show "3" as answer)? Express your answer in terms of G, C, the S constant 0, the mass, temperature, and radius of the sun M Ts, and Rs, and the density p of the dust. Dust tail

Explanation / Answer

(a)

You are balancing the force of gravity on the particles with the radiation force. Because both of these fall off as 1/r2 from the sun, they can cancel for all r, meaning the distance of the comet does not matter.

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