2. a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.57E11 Previous submissions: 457000000000 b. What is the mass of the star? 1.465E30 Previous submissions: 1.465e30 c. Planet B is closer in. B has a larger velocity of 38500 m/s. What is the radius of B's orbit? 6.598E10 Previous submissions: 65980000000 kg m m incorrect kg V incorrect m incorrect

2. a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.57E11 Previous submissions: 457000000000 b. What is the mass of the star? 1.465E30 Previous submissions: 1.465e30 c. Planet B is closer in. B has a larger velocity of 38500 m/s. What is the radius of B's orbit? 6.598E10 Previous submissions: 65980000000 kg m m incorrect kg V incorrect m incorrect

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 42P: Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011...

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(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 × 1011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0 × 104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0 × 107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.
NASA 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? C. WHAT IS ITS ORBITAL PERIOD? D. WHAT IS ITS RADIAL ACCELERATION?
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Hello, here is my question Mars has a mass of 6.417*1023 kg, a radius of 3390 km, and a rotation period of 24.62 hours. (a) Calculate the acceleration due to gravity on the surface of Mars. (b) What is the period of a simple pendulum of length 1.000 meters on the surface of Mars? (c) What is the radius of a Mars-synchronous orbit? (d) What is the speed of a satellite in a Mars-synchronous orbit? (e) What launch speed from Mars’s surface is required to get a satellite into Mars-synchronous orbit? You may neglect air resistance and any rotation effects at the Martian surface in your analysis. The universal gravitational constant is G = 6.674*10-11 N m2 kg-2 Thank you!.
An astronaut, whose mission is to go where no one has gone before, lands on a spherical planet in a distant galaxy. As she stands on the surface of the planet, she releases a small rock from rest and finds that it takes the rock 0.580 ss to fall 1.90 mm. Part A If the radius of the planet is 9.50×107m9.50×107m, what is the mass of the planet? Express your answer with the appropriate units. mpmp = nothingnothing
a) What is the semimajor axis of the spacecraft’s elliptical orbit around the Sun (in AU)? Hint: The semimajor axis of Earth’s orbit is 1 AU and the semimajor axis of Mars’ orbitis 1.52 AU. Consider the diagram above and assume for simplicity that the orbits of Earth and Mars are circular. b) What would be the period of the spacecraft’s orbit around the Sun (in Earth years)? c) Assuming that the spacecraft’s launch is timed properly to arrive at Mars, what is the time required (in days) for the spacecraft to reach Mars from Earth?
A planet of mass ?=2.85×1024 kg orbits a star of mass ?=6.85×1029 kg in a circular path. The radius of the orbit is ?=7.45×107 km.. What is the orbital period ?planet of the planet in Earth days?Tplanet = ? days
Our solar system is roughly 2.2 x 1020 m away from the center of the Milky Way galaxy, and the system is moving at roughly 231.4 km/s around the galaxy's center. Since most of the galaxy's mass is near its center (and we are on an outer arm of this spiral galaxy), let's model the galaxy has a spherical mass distribution (like a single, giant star that our system is orbiting around). What is the mass of the galaxy (according to our rough, spherical model)? Obviously, this will be a VERY big answer, and so enter in your answer to the order of 1040 kg. In other words, calculate the answer, and then divide by 1040 and then enter in the result. BTW - by assuming that all mass in the galaxy is made up of stars that are about the same mass as our sun, it isn't too hard to then estimate how many stars are in the galaxy!). As an another aside, some measurements and observations that we have taken in Astronomy suggests that in reality, stars only make up a fraction of the total mass
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Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 • 1011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0 • 104 light years from its center. a) What should the orbital period of that star be in years? b) If its period is 6.0 • 107 years instead, what is the mass of the galaxy in solar masses? Such calculations are used to imply the existence of “dark matter” in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies.
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