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Gravity Continued and Waves

Gravity Continued and Waves. Chapters 9, 11.1, and 11.2. Reminders. No lab this week. In -class Quiz #4 will take place on Thursday, October 23, focusing on Chapters 8 and 9. No reading quiz prior to class on Thursday as today’s quiz covered all of Chapter 11. Gravity - Review.

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Gravity Continued and Waves

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  1. Gravity Continued and Waves Chapters 9, 11.1, and 11.2

  2. Reminders • No lab this week. • In-class Quiz #4 will take place on Thursday, October 23, focusing on Chapters 8 and 9. • No reading quiz prior to class on Thursday as today’s quiz covered all of Chapter 11.

  3. Gravity - Review

  4. Orbital Velocity In orbital motion, Fg = Fc, hence

  5. Escape Velocity

  6. Examples • Force between two objects: • Orbital velocity: • Escape velocity: • G = 6.67x10-11Nm2/kg2 • M = 5.97x1024kg • r = 6,371,000m

  7. Sample Problems 1 • What is the gravitational force between a proton and an electron in a Hydrogen atom? • mp = 1.673x10–27kg • me = 9.109x10–31kg • ro = 5.29x10–11m • G = 6.67x10–11Nm2/kg2 • F = Gmemp/ro2

  8. Sample Problems 2 • How much does a 53-kg astronaut weigh on the surface of Earth? Wt= mg • How much does a 53-kg astronaut weigh 400km up in Earth orbit? Fg= -Fc • How much would a 53-kg astronaut weigh standing on top of a 400km-hightower? F = Gmame/r2

  9. Sample Problems 3 • What is the orbital velocity of the International Space Station (ISS) whose altitude is 330km? Take the radius of Earth to be 6378.1km. The mass of Earth is 5.97x1024kg • What is the ISS’s orbital period? Recall that Δx = vt which implies 2πr = vP • How does Earth’s escape velocity at the altitude of ISS’s orbit compare with the ISS’s orbital velocity?

  10. Key Concepts Chapter 11, Sec 1-2 • Simple Harmonic Oscillator (a pendulum) • Terms: frequency (f), period (T), wavelength (λ), amplitude (A); note f = 1/T • Wave forms: • Longitudinal • Transverse • Polarization • Δx= vt implies v = λf

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