What is the force on S 2? What is the force on S 3? What is the kinetic-energy r

Question

What is the force on S2?

What is the force on S3?

What is the kinetic-energy ratio K1/ K3 for S1and S3?

Problem 13.26 - Enhanced - with Feedback Part A (Figure 1) Three satellites orbit a planet of radius R, as shown in the figure. Satellites and 3 have mass m. Satellite 2 has mass 2 m, Satellite 1 orbits in 270 minutes and the force on is 10,000 What is the period of S2? Express your answer to three significant figures and include the appropriate units You may want to review ( pages 347-351) T-Value min Figure 1 of 1 Submit My Answers Give Up Incorrect, ry Again; 3 attempts remaining 172 Part B 2R 3R What is the period of S3? Express your answer to three significant figures and include the appropriate units 2m TValue Units Submit My Answers Give Up

Explanation / Answer

F = G M m / r^2 = m w^2 r

w^2 r^3 = G M = constant

and w = 2pi / T so r^3 / T^2 = constant

(A) (2R)^3 / (270)^2 = (2R)^3 / T^2

T = 270 min

(B) (2 R)^3 / (270)^2 = (3 R)^3 / T^2

T^2 = (3/2)^3 (270^2)

T = 496 min

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