Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 11, Problem 2P
To determine
The surface gravity and escape velocity of Ceres.
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Assume these are the mass and radius of Venus. Myenus = 5 x 1024 kg, Ryenus = 6,000,000 meters.
What is the velocity required to put a satellite into stable orbit around Venus starting from the
surface of Venus so that it orbits once every 24 hours? [ignore the rotational velocity of Venus and
gravity of the Sun]
10.23 km/s
9.95 km/s
10.35 km/s
O 10.14 km/s
10.06 km/s
After Ceres was promoted to a dwarf planet, we now recognize the largest known asteroid to be Vesta, with a mass of 2.67 × 1020 kg and a diameter ranging from 578 km to 458 km. Assuming that Vesta is spherical with radius 520 km, find the approximate escape velocity from its surface.
Calculate the surface escape velocities for Mars.
rM = 3.3× 106 m, MM = 6 × 1022 kg).
Chapter 11 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 11 - Prob. 1QFRCh. 11 - Prob. 2QFRCh. 11 - How is a meteor heated?Ch. 11 - Prob. 4QFRCh. 11 - Where are most asteroids found?Ch. 11 - Prob. 6QFRCh. 11 - (11.2) How do we know that asteroids have a...Ch. 11 - Prob. 8QFRCh. 11 - Prob. 9QFRCh. 11 - Prob. 10QFR
Ch. 11 - Prob. 11QFRCh. 11 - Prob. 12QFRCh. 11 - Prob. 13QFRCh. 11 - Prob. 14QFRCh. 11 - Prob. 15QFRCh. 11 - Prob. 16QFRCh. 11 - What creates meteor showers? When do some occur?Ch. 11 - Prob. 18QFRCh. 11 - Prob. 19QFRCh. 11 - Prob. 20QFRCh. 11 - Prob. 1TQCh. 11 - Prob. 2TQCh. 11 - Prob. 3TQCh. 11 - Prob. 4TQCh. 11 - Prob. 5TQCh. 11 - Prob. 6TQCh. 11 - Prob. 7TQCh. 11 - Prob. 8TQCh. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - Prob. 10PCh. 11 - Prob. 11PCh. 11 - Prob. 1TYCh. 11 - Prob. 2TYCh. 11 - Prob. 3TYCh. 11 - Prob. 4TYCh. 11 - Prob. 5TYCh. 11 - Prob. 6TYCh. 11 - Prob. 7TYCh. 11 - Prob. 8TYCh. 11 - Prob. 9TYCh. 11 - Prob. 10TYCh. 11 - Prob. 11TY
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- What is the escape velocity in km/s from Venus' exosphere, which begins about 168 km above the surface? Assume the gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2, and that Venus has a mass of 4.9e+24 kg and a radius of 5800.0 km.arrow_forwardWhat is the escape velocity is km/s from Jupiters exosphere, which begins about 993 km above the surface ? Assume the Gravitational constant is G= 6.67 x10-11m3 kg-1s-2, and that's Jupiter has a mass of 1.8999999999999998e+27kg and a radius of 68.0 x103kmarrow_forwardNASA Scientists want to measure the current distance between two of Jupiter's Moons, Ganymede and Europa. They set up a laser on the surface of Ganymede, shine it at a mirror on the surface of Europa and measure how long it takes for the laser light to return to a detector on the surface of Ganymede. They calculated the current distance between the two moons to be 787 million meters. How long did it take the light to make it to Europa and back? *Give answers to at least three significant figures. DO NOT submit answers in scientific notation. Use symbols for units (i.e. m, s, kg, N)*arrow_forward
- 4000 km O Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Europa Ganymede Jupiter Callisto Titan Saturn Triton Neptune Suppose the moon of a planet has a mass of 1/93th the mass of the planet it is orbiting (note: the moons shown above actually are even a smaller fraction than that!). What is the ratio of the force the moon applies to the planet compared to the force the planet applies to the moon? (Express your answer as a number--don't enter anything like A:B or A/B, just the single number you get by dividing A by B.)arrow_forwardYou are a rover pilot on the crew of the initial exploration team sent to Kepler 22b,the first extrasolar planet discovered within the habitable zone of a sun-like star. Thescience team recently discovered liquid water on the surface. (Hurrah!) Your rover isat point A on the shore of a circular lake with radius 4 km collecting samples. Thescience team wants to send your rover to a point C diametrically opposite A. Therover can drive around the circumference of the lake at a rate of 4 km per hour andfly over the lake at a rate of 3 km per hour.(a) How long will it take the rover to fly across the lake?(b) How long will it take the rover to drive around the shore of the lake?You could also fly at an angle θ along a chord inside the circular lake, andcomplete the rest of the path driving along the circumference of the lake.(c) Find the length of the chord in terms of θ. How long will it take the drone totraverse the chord?(d) Find the length of the remaining shoreline after the cord in…arrow_forwardTitan has a very thick atmosphere of nitrogen gas at a surface pressure (P) of 150 kiloPascals (kg·m/sec2/m2 units). If pressure (P) is force per unit area, then the mass pushing down over 1 square meter of the surface will scale as P/g with g (1.352 m/sec2) being the surface acceleration due to gravity. Considering that the density of solid nitrogen is 1027 kg/m3, calculate the layer thickness of solid nitrogen that would result from freezing the atmosphere by dividing the density of nitrogen into the mass per m2? answer choices 108 meters 10.08 meters 1.08 kilometers 1.08 metersarrow_forward
- Phobos orbits Mars at a distance of 9380 km from the center of the planet and has a velocity of 2137.7 m-s-1. Assume Phobos's orbit is circular. (a) Calculate the mass of Mars. (1) TIarrow_forwardA)At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the mass of Mars is 6.39 x 1023 kg, the length of a martian solar day is 24 hours 39minutes 35seconds, the length of the sidereal day is 24hours 37minutes 22seconds, and the equatorial radius is 3396 km. The answer can be calculated using Newton's verison of Kepler's third law.arrow_forward(a) What is the difference between the forces on a 1.0-kg mass on the near side of Io and far side due to Jupiter? Io has a mean radius of 1821 km and a mean orbital radius about Jupiter of 421,700 km. (b) Compare this difference to that calculated for the difference for Earth due to the Moon calculated in Example 13.14. Tidal forces are the cause of Io’s volcanic activity.arrow_forward
- Calculate the escape velocity from the surface of the asteroid Ceres (mass of about 10^(21) kg and radius of about 475 km). Could you run fast enough to escape Ceres' gravity? How about driving?arrow_forwardThe mass of the planet is approximately 74.8 times the mass of Jupiter. Calculate the average density of the planet. Give your answer in grams per cubic centimeter.arrow_forwardCalculate Venus's mass given the acceleration due to gravity (8.87 m/s2) and the radius of Venus (6052 km).arrow_forward
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