Section 13.6 Satellite Orbits and EnergiesThree satellites

Chapter 13, Problem 21E

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QUESTION:

II Three satellites orbit a planet of radius \(R\), as shown in FIGURE EX13.21. Satellites \(\mathrm{S}_{1}\) and \(\mathrm{S}_{3}\) have mass \(m\). Satellite \(\mathrm{S}_{2}\) has mass \(2 \mathrm{~m}\). Satellite \(\mathrm{S}_{1}\) orbits in 250 minutes and the force on \(\mathrm{S}_{1}\) is \(10,000 \mathrm{~N}\).

a. What are the periods of  \(\mathrm{S}_{2}\)  and \(\mathrm{S}_{3}\) ?

b. What are the forces on  \(\mathrm{S}_{2}\)  and \(\mathrm{S}_{3}\) ?

c. What is the kinetic-energy ratio \(K_{1} / K_{3}\) for \(\mathrm{S}_{1}\) and \(\mathrm{S}_{3}\)?

Equation Transcription:

Text Transcription:

S_1

S_2

S_3

K_1/K_3

2m

10,000 N

Questions & Answers

QUESTION:

II Three satellites orbit a planet of radius \(R\), as shown in FIGURE EX13.21. Satellites \(\mathrm{S}_{1}\) and \(\mathrm{S}_{3}\) have mass \(m\). Satellite \(\mathrm{S}_{2}\) has mass \(2 \mathrm{~m}\). Satellite \(\mathrm{S}_{1}\) orbits in 250 minutes and the force on \(\mathrm{S}_{1}\) is \(10,000 \mathrm{~N}\).

a. What are the periods of  \(\mathrm{S}_{2}\)  and \(\mathrm{S}_{3}\) ?

b. What are the forces on  \(\mathrm{S}_{2}\)  and \(\mathrm{S}_{3}\) ?

c. What is the kinetic-energy ratio \(K_{1} / K_{3}\) for \(\mathrm{S}_{1}\) and \(\mathrm{S}_{3}\)?

Equation Transcription:

Text Transcription:

S_1

S_2

S_3

K_1/K_3

2m

10,000 N

ANSWER:

Step 1 of 5

We are required to calculate the time period satellite 2 and satellite 3

We are required to calculate forces on satellite 2 and satellite 3

We are required to calculate the ratio of kinetic energies of satellite 1 and satellite 3

 

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