23_InstSolManual_PDF_Part6 - Figure 23.27 Solve(a and so...

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(c) With this acceleration it would take the sail to reach a speed of 1 km/s. This would be use- ful only in specialized applications. The acceleration could be increased by decreasing the mass of the sail, either by reducing its density or its thickness. Reflect: The calculation assumed the only force is that due to the radiation pressure. The sun would also exert a gravitational force on the sail; both forces are considered in Problem 23.73. 23.26. Set Up: For reflection, The desired path of the ray is sketched in Figure 23.26. Solve: so and Figure 23.26 23.27. Set Up: For reflection, The angles of incidence and reflection at each reflection are shown in Fig- ure 23.27. For the rays to be perpendicular when they cross,
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Unformatted text preview: Figure 23.27 Solve: (a) and so and (b) Reflect: As This corresponds to the incident and reflected rays traveling in nearly the same direc-tion. As This corresponds to the incident and reflected rays traveling in nearly opposite directions. a S 0°. u S 90°, a S 180°. u S 0°, u 5 1 2 1 180° 2 a 2 5 1 2 1 180° 2 90° 2 5 45°. a 5 180° 2 2 u . a 2 1 b 5 90° b 5 u . b 1 f 5 90°, u 1 f 5 90° u u f f a b b a 5 90°. u r 5 u a . f u a u r Mirror 14.0 cm 11.5cm Mirror u r 5 u a 5 39.4°. u r 5 90° 2 f 5 39.4° f 5 50.6°. tan f 5 14.0 cm 11.5 cm , u r 5 u a . 1.4 3 10 6 s 5 16 days 23-6 Chapter 23...
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