Stars and Galaxies (MindTap Course List)
10th Edition
ISBN: 9781337399944
Author: Michael A. Seeds
Publisher: Cengage Learning
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Chapter 5, Problem 11P
To determine
Find the circular velocity of a spherical asteroid.
Could a pitcher throw a baseball about
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The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit. If the orbital radius of Rom is 2.5×1011 m …
Note: G = 6.67⨯10-11 N·m2/kg2
ii) What is the orbital speed of Rom?
We are planning a human exploration mission to Mars. We will first place our spacecraft into a circular around Mars and then send down a lander.
a) If we want the spacecraft to orbit at an altitude of 170 km above the Martian surface, what will the velocity and orbital period of the spacecraft?
b) When we land astronauts on the surface of Mars, what acceleration due to gravity in terms of g’s (i.e. as a fraction of the Earth’s gravitational acceleration) will the astronauts experience? You are permitted to use an online resource (e.g. Google) to find the necessary information about Mars that you might need in solving this problem.
A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 4.1 × 107 m. The mass of the planet is M = 8.6 × 1024 kg.
Express the magnitude of the centripal accelaration ac of the satellite in terms of the speed of the satellite v, and R.
Express the speed of v in terms of G,M, and R.
Chapter 5 Solutions
Stars and Galaxies (MindTap Course List)
Ch. 5 - Prob. 1RQCh. 5 - Prob. 2RQCh. 5 - Prob. 3RQCh. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - Prob. 6RQCh. 5 - Prob. 7RQCh. 5 - Prob. 8RQCh. 5 - Prob. 9RQCh. 5 - Prob. 10RQ
Ch. 5 - Prob. 11RQCh. 5 - Prob. 12RQCh. 5 - Prob. 13RQCh. 5 - Prob. 14RQCh. 5 - Prob. 15RQCh. 5 - Prob. 16RQCh. 5 - Prob. 17RQCh. 5 - Prob. 18RQCh. 5 - Prob. 19RQCh. 5 - Prob. 20RQCh. 5 - Prob. 21RQCh. 5 - Prob. 22RQCh. 5 - Prob. 23RQCh. 5 - Prob. 24RQCh. 5 - Prob. 25RQCh. 5 - Prob. 26RQCh. 5 - Prob. 27RQCh. 5 - Prob. 28RQCh. 5 - Prob. 29RQCh. 5 - Prob. 30RQCh. 5 - Prob. 31RQCh. 5 - Prob. 32RQCh. 5 - Prob. 33RQCh. 5 - Why is the period of an open orbit undefined?
Ch. 5 - Prob. 35RQCh. 5 - Prob. 36RQCh. 5 - Prob. 37RQCh. 5 - Prob. 38RQCh. 5 - Prob. 39RQCh. 5 - Prob. 40RQCh. 5 - Prob. 41RQCh. 5 - Prob. 42RQCh. 5 - An astronomy textbook is to be dropped from a tall...Ch. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Describe the shape of the orbit followed by the...Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - A moon of Jupiter takes 1.8 days to orbit at a...Ch. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 1LLCh. 5 - Prob. 2LLCh. 5 - Prob. 3LL
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- Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)arrow_forwardThe astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27arrow_forwardWhat is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forward
- On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forwardThe asteroid 243 Ida has a mass of about 4.0×10¹⁶ kg and an average radius of about 16 km (it's not spherical, but you can assume it is). Calculate the speed with which you would have to throw a rock to put it into orbit around the asteroid 243 Ida, near the surface. How long would it take for your rock to return and hit you in the back of the head? (Express your answer in hours.)arrow_forwardA 5,000 kg satellite is orbiting the earth in a circular path. The height of the satellite above the surface of the earth is 800 km. The velocity of the satellite is, (Me = 5.98 x 1024kg, Re = 6.37 x 10°m, G = 6.67 x 10-11Nm²/kg²) A O 5,950 m/s O 6,830 m/s O5,350 m/s O 6,430 m/s O 7,460 m/sarrow_forward
- A planet of mass m=9.45x1024 kgm=9.45x1024 kg orbits a star of mass M=8.25x1029 kgM=8.25x1029 kg in a circular path. The radius of the orbit is R=1.05x107 km.R=1.05x107 km. What is the orbital period TplanetTplanet of the planet in Earth days?arrow_forwardNASA is expected to send a 2600-kg satellite 450 km above the earth's surface. (a) What is its radius? (b) What speed will ithave? (Hint: Earth's mass is 5.97 x 1024 kg) (c) What is its orbital period? (d) What is its radial acceleration?arrow_forwardNASA is expected to send a 2600-kg satellite 450 km above the earth’s surface. (a) What is its radius? (b) What speed will it have? (Hint: Earth’s mass is 5.97 x 10^24 kg) (c) What is its orbital period? (d) What is its radial acceleration?arrow_forward
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