(a)
The mass of Electra.
(a)
Answer to Problem 38QAP
The mass of Electra is
Explanation of Solution
Write the expression for semi-major axis of moon orbit.
Here,
Write the expression for orbital period using Kepler’s third law.
Here,
Rearrange the above expression in term of
Conclusion:
Calculate the radius of asteroid.
Substitute
Substitute
Thus, the mass of Electra is
(b)
The density of Electra.
(b)
Answer to Problem 38QAP
The density of Electra is
Explanation of Solution
Write the expression for volume of asteroid.
Here,
Write the expression for density of asteroid.
Here,
Conclusion:
Substitute
Substitute
Thus, the density of Electra is
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Chapter 9 Solutions
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
- The asteroid Hygiea has a mass of 8.67 x 1019 kg and an average radius of about 216 km (2.16 x 102 km). What is its escape velocity (in m/s)? (Hints: Use the formula for escape velocity, 2GM ; remember to convert units to m, kg, and s.) r e m/s Could you jump off the asteroid? Yes No Need Help? Read It Submit Answerarrow_forwardWhich meteorites are the most useful for defining the age of the solar system? Why?arrow_forwardYou may enter answers in scientific notation as shown: 1.23 x 105 = 1.23e5 Fill out each quantity for the interaction between the sun and the asteroid: asteroid data mass: 7,93 x 1020kg radius: 5.15 x 10?m F = N. earth data mass: 5.97 x 1024kg radius: 6.37 x 10m G = M = unit m = unit 8.1 x 1011m unit 1.50 x 1011m What is the force between the asteroid and the sun? sun data mass: 1.99 x 1030kg radius: 6.96 x 108m N check answers cannot be determined Unit 11: universal gravitation, gravitational force problems Desmos Scientific Online Calculatorarrow_forward
- Asteroid Ceres has a mass of 9.38 x 10²⁰ kg. Its radius is 469,730 m. Calculate the escape velocity. 1) 520 m/s 2) 5,200 m/s 3) 1,000 m/s 5) 410 m/sarrow_forwardAn asteroid is observed to be on a superior orbit with a synodic period of 466.6 days. What are the sidereal orbital period and semi-major axis of this asteroid? Choose the option below that most closely matches your answers. Select one: O a. Sidereal period = 1683 days and %3D semi-major = 2.7 AU O b. Sidereal period = 1683 days and semi-major axis = 4.8 AU O c. Sidereal period = 865 days and semi- major axis = 1.8 AU O d. Sidereal period = 426 day and semi- %3D major axis = 2.7 AU O e. Sidereal period = 1727 days and е. semi-major axis = 0.8 AUarrow_forwardYou may enter answers in scientific notation as shown: 1.23 x 105 = 1.23e5 Fill out each quantity for the interaction between the sun and the asteroid: F = N m³/kg s² kg G = M = m = r 11 kg > What is the force between the asteroid and the sun? N earth data mass: 5.97 x 1024kg radius: 6.37 x 106m 1.50 x 1011m sun data mass: 1.99 x 103⁰kg radius: 6.96 x 108m 8.54 x 101m asteroid data mass: 6.03 x 1020 kg radius: 2.9 x 10³marrow_forward
- What is the escape velocity from an asteroid with a diameter of 100 km and an average relative density of 2.5? (The solution is 59 m/s)arrow_forwardAn astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and581 km from the center of asteroid Y, along the straight line joining the centers of the asteroids.What is the ratio of the masses X/Y of the asteroids? A) 17.2 B) 0.0581 C) 0.241 D) 4.15arrow_forwardThe following figure shows six pairs of asteroids, labeled with their relative masses (M) and distances (d) between them. For example, an asteroid with M=2 has twice the mass of one with M=1 and a distance of d=2 is twice as large as a distance of d=1. Using the letters ABCDEF, rank each pair according to the gravitational force attracting the asteroids to each other, from strongest to weakest. 1) 4) d=1 d=1 M=2 M=1 M=2 M=2 2) 5) d=2 d=2 M=1 M=2 M=2 M=2 3) d=2 d=3 M=1 M=1 M=2 M=2 A) Pair 5 B) Pair 3 C) Pair 1 D) Pair 6 E) Pair 2arrow_forward
- Comet Halley has a semi-major axis of 17.7 AU. (The AU, or Astronomical Unit, is the distance from the Sun to the Earth. 1 AU = 1.50x1011 m.) The eccentricity of Comet Halley is 0.967. a. How far is Comet Halley from the sun at Aphelion, the farthest position from the sun? (Give your answer in AU.)? b. What is comet Halley's orbital time? (Give your answer in years.) Note: Using Kepler's third law in the form: P2 = a3 is convenient. This equation works for any object orbiting the sun when the orbital period is in years and the semi major axis is in AU. The reason this works is because this equation is normalized to earth. The AU and year are both 1 for Earth. c. In what year will Comet Halley start to move back toward the sun?arrow_forwardFind the mass of a hypothetical spherical asteroid 4 km in diameter and composed of rock with an average density of 2400 km/ cubic meter. (b) Find the speed required to escape from the surface of this asteroid. (c) A typical jogging speed is 3 m/s. What would happen to an astronaut who decided to go for a jog on this asteroid?arrow_forwardWhat is the asteroid's orbital radius? What is the asteroid's orbital speed?arrow_forward