DQ1D_solution - Discussion Question 1D P212, Week 1 P211...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Discussion Question 1D P212, Week 1 P211 Review: Uniform Circular Motion page 1 2 1 ˆ r 12 r 12 , F 1 2 =− G m 1 m 2 r 12 2 ˆ r 12 In P112 you will encounter problems where charged particles move in uniform circular motion. The forces involved may be electric or magnetic in nature. The answer to part(e) contains the secret of the cyclotron. Kepler’s Third Law (K-III) for planetary motion about the sun for circular orbits is T 2 = CR 3 where T is the period, R is the radius of the planet’s orbit and C is a constant. (a) Derive K-III for a circular orbit and in the process find an algebraic expression for C in terms the mass of the sun M S , the universal gravitational constant G , and numerical factors. F = -G m M S / R 2 F = ma = -m v 2 / R Set equal to each other and substitute period for velocity. T 2 = 4 π 2 R 3 / (G M S ) (b) Using your answer from part (b), re-express K-III as a relationship between the angular frequency ω of the motion and the radius R of the form: 2 = f( R , G , M S ). ω 2 = G M S
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

DQ1D_solution - Discussion Question 1D P212, Week 1 P211...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online