Io, one of Jupiter's moons discovered by Galileo, has an orbital period of 1.769 days and a semimajor axis of 0.42 × 10°m. Estimate the mass M of Jupiter. Assume G = 6.673 × 10-11 m³ kg¬1 s-2. (Use decimal notation. Give your answer to three decimal places.)

Io, one of Jupiter's moons discovered by Galileo, has an orbital period of 1.769 days and a semimajor axis of 0.42 × 10°m. Estimate the mass M of Jupiter. Assume G = 6.673 × 10-11 m³ kg¬1 s-2. (Use decimal notation. Give your answer to three decimal places.)

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Universal Gravitation

Section: Chapter Questions

Problem 13.18P: Io, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 105...

See similar textbooks

Related questions

Q: Calculate the force due to gravity on a satellite located 2 Earth radii above the Earth's surface if…

A: M= 5.98× 1024 kg m= 1480 kg r= 3Re= 3(6.38 × 106) m = 19.14 × 106 m

Q: A Mars orbiter is orbiting Mars at 35,000 m above the Martian surface. What is its period in…

A: Height of Mars orbiter above the Martial surface: h = 35000 m Mass of Mars: Mm = 6.42 x 1023 kg…

Q: If G = 6.674 ⨉ 10 −11m3/kg/s 2and M Jupiter= 1.898 ⨉ 10 27kg, then, from Kepler’s third law in #4,…

A: G = 6.674 x 10-11 m3/kg/s2 Mass of jupiter, M = 1.898 x 107 kg Ignore the mass(m) of moon

Q: A small moon of a giant planet has an orbital period of 1.25 days and an orbital radius of 4.92 x…

Q: If a satellite circulate around the earth at a height of 2,317.84 km above the earth's surface,…

A: This question is based on gravitation and third law of Kepler Law for planetry motion.

Q: Two identical uniform spheres A and B, with mass M = 1.00 [kg], are placed 1.30 [m] away from…

Q: A person with a mass of 27 kg is standing on a planet and experiences a weight of XYZ N. If the…

Q: A satellite of Mars, called Phoebus, has an orbital radius of 9.4 × 10° m and a period of 2.8 × 10ª…

A: Given: The orbital radius is 9.4x106 m. The time period of the satellite is 2.8x104 s.

Q: For the purposes of this problem, treat the Earth as a solid, uniform sphere with mass 5.97x1024 kg…

A: It is given that, M=5.97×1024 kgRe=6.37×106 mRo=1.5×1011 m

Q: 10. What is the period (in hours) of a satellite circling Mars 100 km above the planet's surface?…

A: Two objects in the universe attract each other with a force that is directly proportional to the…

Q: Planet Z-1 has a mass equal to one-third that of the Earth and a radius equal to one- third that of…

A: Given data: Mass of earth = M Mass of planet Z-1 (M1) = (1/3)M Radius of earth = R Radius of planet…

Q: law

A: Kepler’s third law of planetary motion gives the relationship between the orbital time period and…

Q: What is the period of rotation of Venus in earth years if it is a distance of 1.08 x 1011 meters…

A: Period of rotation

Q: A planet and its largest moon have masses 1.38E+25_kg and 2.48E+18_kg, respectively, and are…

A: Mass of planet (M) = 1.38×1025 kg Mass of moon (m) = 2.48×1018 kg distance between planet and moon…

Q: Assume the earth's mass is 31.589 x 1025 kg, and radius is 60.9 x 103 miles, what would be the…

Q: Assume the earth's mass is 85.47 x 1025 kg, and radius is 51.93 x 103 miles, what would be the…

A: Data provided: Mass (M) = 85.47 × 1025 kg Radius (r) = 51.93 × 103 miles G = 6.67 × 10-11 Nm2/kg2…

Q: The period of the moon is approximately (2.35 x 10^6 s). Determine the radius of the moon's orbit a…

A: Given data: The period of Moon is T=2.35x106 s. The mass of Earth is m=5.98x1024 kg. The radius of…

Q: A 216.2 kg satellite is geosynchronous orbit around the Earth stays over the same spot and takes 24…

A: The height of the satellite above the surface of the Earth is given by the equation,

Q: Europa, a satellite of Jupiter, has an orbital diameter of 1.34 x 109 m and a period of 3.55 days.…

Q: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…

Q: On a planet whose radius is 1.2 × 107 m , the acceleration due to gravity is 18 m/s2 . What is the…

A: Given data The radius of the planet is r = 1.2 x 107 m. The acceleration due to gravity is g = 18…

Q: A meteoroid is traveling with a velocity of 10.0 km/s directly toward the Earth when it is located 5…

A: We will use conservation of mechanical energy to solve this.

Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 x 10° m and a period of 2.8 x 10*…

A: Orbital speed =(GM/R)1/2

Q: If the gravitational force is 8 N originally and the distance is decreased by a factor of 1/5, what…

A: Given : F = 8 N d' = d/5

Q: A planet of mass m=8.15×1024 kg orbits a star of mass M=2.35×1029 kg in a circular path. The radius…

A: The necessary centripetal force required for rotation of planet is provided by the gravitational…

Q: Assume the earth's mass is 55.818 x 1025 kg, and radius is 10.63 x 103 miles, what would be the…

A: Given that Mass of earth M = 55.818 x 1025 kg radius of earth R = 10.63 x 103 miles Let…

Q: If a satellite circulate around the earth at a height of 575.71 km above the earth's surface, given…

A: Height above the Earth, Radius of the Earth, Universal gravitational constant, Mass of the Earth,…

Q: A satellite of Mars, called Phoebus, has an orbital radius of 9.4×106 m and a period of 2.8×104 s.…

Q: The gravitational field strength of Venus is 8.9 N/kg. If its radius is 6.05 x 106 m, the mass of…

A: Given data: Strength of gravitational field (g) = 8.9 N/kg Radius (r) = 6.05×106 m Required: The…

Q: Let the average orbital radius of a planet be r. Let the orbital period be T. What quantity is…

A: Given: Let the average orbital radius of a planet be r. Let the orbital period be T. What quantity…

Q: A comet has a perihelion distance to the Sun of 6.0 x 1010m and aphelion distance to the Sun of 1.1…

A: Using Kepler's 3rd law: T2 = 4π2GMa3 Here, G = Gravitational constant = 6.674*10^-11 M = Mass of Sun…

Q: If the earth has a period of 9.94x1014 seconds and the mass of the sun is 1.989 x1030 kg, find the…

A: If the earth has a period of 9.94x1014 seconds and the mass of the sun is 1.989 x1030 kg, find the…

Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 ✕ 106 m and a period of 2.8 ✕ 104…

A: Let r and T denote the given satellite’s radius of orbit and revolution period around Mars,…

Q: A satellite has a mass of 6220 kg and is in a circular orbit 4.39 × 105 m above the surface of a…

A: Given information:Mass of satellite (m) = 6220 kgRadius of circular orbit above the surface of a…

Q: Three uniform spheres of masses m1 = 2.50 kg, m2 = 4.00 kg, and m3 = 7.50 kg are placed at the…

Q: On a planet whose radius is 1.7 ✕ 107 m, the acceleration due to gravity is 47 m/s2. What is the…

Q: Planet X has a mass 5 times Earth's mass and a radius twice Earth's radius? If the acceleration due…

Q: The centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's…

A: Write the given values of this problem. R1=3.84×105 mm1=7.35×1022 kgm2=10 kg

Q: Assume that planet A has radius RA and mass MA, and planet B has radius Rg and mass Mg. Let ga and…

A: Given: MA=MBRA=2RBIn this question we have to find gAgB

Q: Calculate the mass of the Sun using the fact that the period of the Earth’s orbit around the Sun is…

A: Let the distance between the Sun and Earth is r and the time period of the Earth is T. The formula…

Q: The Martian satellite Phobos travels in an approximately circular orbit of radius 9.4* 10^6 m with a…

A: The radius of the orbit,

Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 ✕ 106 m and a period of 2.8 ✕ 104…

A: The time period for photos is given as,

Q: A planet with mass 10 x 1024 kg orbits a sun with a period of 1 Earth's years. The speed of the…

A: Given mass of planet(mp)=1025 kg time period(T)=1 earth’s year =31536000 seconds velocity of…

Question

100%

Io, one of Jupiter's moons discovered by Galileo, has an orbital period of 1.769 days and a semimajor axis of 0.42 × 10°m.
Estimate the mass M of Jupiter.
Assume G = 6.673 × 10-11 m³ kg¬1 s-2.
(Use decimal notation. Give your answer to three decimal places.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Formula required

Step 2 Given

Step 3 Calculation

Step 4 Answer

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)
Comet Halley (Fig. P11.21) approaches the Sun to within 0.570 AU, and its orbital period is 75.6 yr. (AU is the symbol for astronomical unit, where 1 AU = 1.50 1011 m is the mean EarthSun distance.) How far from the Sun will Halleys comet travel before it starts its return journey?
The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?
Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2
Io, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 105 km. From these data, determine the mass of Jupiter.
Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?
For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?
A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.
If a planet with 1.5 times the mass of Earth was traveling in Earth’s orbit, what would its period be?
A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.
If a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.
(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.