6. A satellite in elliptical orbit around newly discovered planet (mass = 8.0 x 10^24 kg) has a period of 100,000 seconds. The aphelion distance is 7.0 x 10^7 m and the perihelion distance is 3 x 10^7 m. If the angular velocity at the aphelion is 7 x 10^-5 rad/s, what is the angular velocity at the perihelion?
Added by Lori W.
Close
Step 1
Step 1: Use the conservation of angular momentum formula, \(M_1R_1^2\omega_1 = M_2R_2^2\omega_2\), where \(M\) is the mass of the planet, \(R\) is the distance from the planet, and \(\omega\) is the angular velocity. Show more…
Show all steps
Your feedback will help us improve your experience
Sufiyan Alam and 72 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A satellite is in elliptical orbit with a period of $8.00 \times 10^{4} \mathrm{s}$ about a planet of mass $7.00 \times 10^{24} \mathrm{kg}$ . At aphelion, at radius $4.5 \times$ $10^{7} \mathrm{m},$ the satellite's angular speed is $7.158 \times 10^{-5}$ rad/s What is its angular speed at perihelion?
A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 x 10^6 m. What is the angular momentum of the satellite in its orbit around the planet if the satellite completes one orbit every 1.5 x 10^4 s? 1.4 x 10^14 kg · m^2/s 6.2 x 10^8 kg · m^2/s 2.4 x 10^13 kg · m^2/s 3.9 x 10^6 kg · m^2/s 8.1 x 10^11 kg · m^2/s
Nishant K.
The radius of the earth's orbit around the sun (assumed to be circular) is 1.50 $\times$ 10$^8$ km, and the earth travels around this orbit in 365 days. (a) What is the magnitude of the orbital velocity of the earth, in m/s? (b) What is the radial acceleration of the earth toward the sun, in m/s$^2$ ? (c) Repeat parts (a) and (b) for the motion of the planet Mercury (orbit radius = 5.79 $\times$ 10$^7$ km, orbital period = 88.0 days).
Motion in Two or Three Dimensions
Motion in a Circle
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD