# 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.

## Answers

Answer 1
Answer: First step is to convert the units into standard units (km into m and days into sec)
1.77 days = 1.77 * 24 * 60 * 60 = 152928 seconds
4.22 * 10^5 = 4.22 * 10^5 * 10^3 = 4.22 * 10^8 meters
Second step is to start solving,
We will use these two rules:
rule #1: velocity = distance/time   (distance is the circumference=2*pi*radius)
rule #2: velocity = (GM/r)^0.5        ( G is a constant = 6.7 * 10^-11)
equating the two rules, we find that:
M = (2*pi*r / T)² (r / G)
Substituting in the previous equation, we will find that:
M = 1.8999 * 10^27 Kg
Answer 2
Answer:

Jupiter's mass is also called the Jovian mass, which is the same mass unit as the mass of Jupiter (1.8986 × 1027 kg, 317.83 Earth masses; 1 Earth-mass equals 0.00315 Jupiter masses).

Further Explanation In the solar system, the mass of planets outside Jupiter's mass can be:
• Jupiter - 1,000
• Saturn - 0.299
• Uranus - 0.046
• Neptune - 0.054

One Jupiter mass can be changed to:
• 25,839-month mass (ML)
• 317.83 Earth's mass (M⊕)
• 0,0009546 solar mass (M⊙)

Io is the deepest satellite among the four Galileo satellites that surround the planet Jupiter. With a diameter of 3642 kilometers (2263 mi), Io is the fourth largest satellite in the Solar System. This satellite is named after Io, who is a female priestess for Hera who is one of Zeus's lovers.

Io volcanism produces unique features. Volcanic plumes and lava flows alter the surface and covers it with allotropes and sulfur compounds that are yellow, red, white, black, and green. Lava flows whose length can reach 500 km (300 mi) can also be found on the surface. Materials produced by volcanism include Io's thin and incomplete atmosphere and Jupiter's magnetosphere. Io volcanic fragments (Io) produce a large plasma torus around Jupiter.

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Mass Jupiter  brainly.com/question/4423167

Mass Io  brainly.com/question/4423167

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Grade: College

Subject: Geography

Keyword: Jupiter, io, satellite

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