The Solar System
10th Edition
ISBN: 9781337672252
Author: The Solar System
Publisher: Cengage
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Chapter 5, Problem 27RQ
To determine
The position of the center of mass of two bodies and the position of center of mass of Earth-Moon system.
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Use the definition of center of mass to answer the following questions:
(a) The distance between the Earth and the Moon (center to center) is
approximately 239,000 miles. How far is the center of mass of the Earth/Moon
system from the center of the Earth? The mass of the Earth is 5.97 x 1024 kg
and the mass of the Moon is 7.35 x 1022 kg.
(b) The average distance between the Earth and the Sun (center to center) is
approximately 93 million miles. How far is the center of mass of the Earth/Sun
system from the center of the Sun? The mass of the Earth is 5.97 x 1024 kg
and the mass of the Sun is 1.99 x 1030 kg.
The center of mass of the moon is at an average distance to the center of mass of earth at d=6.00 * 10^24 kg as mass of earth. Wow; that is really far compared to low earth orbit like where the international space station resides.
a) Calculate "little-g" from earth at this earth-moon distance (the "little-g" that the moon "experiences" from earth) using the formula:
g=G m/d^2
The centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?
Chapter 5 Solutions
The Solar System
Ch. 5 - Prob. 1RQCh. 5 - Today, what do we call the Aristotelean violent...Ch. 5 - Which of Keplers or Newtons laws best describes...Ch. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - If you drop a feather and a steel hammer at the...Ch. 5 - What is the difference between mass and weight?
Ch. 5 - Prob. 8RQCh. 5 - An astronaut working in space near the...Ch. 5 - Prob. 10RQ
Ch. 5 - A car is on a circular off ramp of an interstate...Ch. 5 - Prob. 12RQCh. 5 - Prob. 13RQCh. 5 - An astronaut is in space with a baseball and a...Ch. 5 - Prob. 15RQCh. 5 - Prob. 16RQCh. 5 - Why did Newton conclude that some force had to...Ch. 5 - Why did Newton conclude that gravity has to be...Ch. 5 - Prob. 19RQCh. 5 - Prob. 20RQCh. 5 - Prob. 21RQCh. 5 - You are sitting next to a person who has twice as...Ch. 5 - Prob. 23RQCh. 5 - Why cant a spacecraft go beyond Earths gravity?Ch. 5 - Prob. 25RQCh. 5 - Balance a pencil lengthwise on the side of your...Ch. 5 - Prob. 27RQCh. 5 - Why can’t you leave Earth’s gravitational field...Ch. 5 - Prob. 29RQCh. 5 -
How do planets orbiting the Sun and skaters doing...Ch. 5 - Prob. 31RQCh. 5 - If you hold this textbook out at shoulder height...Ch. 5 - Today at the beach you see the highest of all high...Ch. 5 - Why is the period of an open orbit undefined?
Ch. 5 - In what conditions do Newtons laws of motion and...Ch. 5 - Prob. 36RQCh. 5 - Prob. 37RQCh. 5 - Prob. 38RQCh. 5 - How is gravity related to acceleration? Are all...Ch. 5 - Prob. 40RQCh. 5 - Prob. 41RQCh. 5 - Prob. 42RQCh. 5 - An astronomy textbook is to be dropped from a tall...Ch. 5 - Compared to the strength of Earth’s gravity at its...Ch. 5 - Compare the force of gravity on a 1 kg mass on the...Ch. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - If a small lead ball falls from a high tower on...Ch. 5 - What is the circular velocity of an Earth...Ch. 5 - What is the circular velocity of an Earth...Ch. 5 - Prob. 9PCh. 5 - Describe the shape of the orbit followed by the...Ch. 5 - Prob. 11PCh. 5 - What is the orbital period of a satellite orbiting...Ch. 5 - What would be the escape velocity at the surface...Ch. 5 - Prob. 14PCh. 5 - A moon of Jupiter takes 1.8 days to orbit at a...Ch. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 1LLCh. 5 - Prob. 2LLCh. 5 - Why is it a little bit misleading to say that this...
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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
- A single-stage rocket of mass 308 metric tons (not including fuel) carries a payload of 3150 kg to low-Earth orbit. The exhaust speed of the rockets cryogenic propellant is 3.20 103 m/s. a. If the speed of the rocket as it enters orbit is 8.00 km/s, what is the mass of propellant used during the rockets burn? b. The rocket is redesigned to boost its exhaust speed by a factor of two. What is the mass of propellant used in the redesigned rocket to carry the same payload to low-Earth orbit? c. Because the exhaust speed of the redesigned rocket is increased by a factor of two, why is the fuel consumption of the redesigned rocket not exactly half that of the original rocket?arrow_forwardReview. The first stage of a Saturn V space vehicle consumed fuel and oxidizer at the rate of 150 104 kg/s with an exhaust speed of 2.60 101 m/s. (a) Calculate the thrust produced by this engine. (b) Find the acceleration the vehicle had just as it lifted off the launch pad on the Earth, taking the vehicles initial mass as 3.00 106 kg.arrow_forwardCalculate the location of the center of mass of the earth-moon system (that is, find the distance of the center of mass from the earth's center). The mass of the earth is mE=5.97×1024kgmE=5.97×1024kg and the mass of the moon is mM=7.35×1022kgmM=7.35×1022kg. The distance between the earth and the moon is d=3.84×108md=3.84×108m. Assume the orbital radius of the moon is equal to the distance between the centers of the earth and the moon. Express your answer with the appropriate units. Where is the center of mass with respect to the earth's surface? Assume the radius of the earth is 6.38×106m6.38×106m. Express your answer with the appropriate units. Enter positive value if the center of mass is above the earth's surface and negative value if it is below.arrow_forward
- The mass of the Earth is 5.97 × 1024 kg and the mass of the Sun is 1.99 × 1030 kg. The average distance between the Sun and the Earth is 1.5 × 1011 m from their centers. Where is the center of mass of the Earth-Sun system located with respect to the center of the Sun? If the radius of the Sun is 6.96 × 108 m, is the center of mass within the Sun or outside the Sun?arrow_forwardCalculate the location of the center of mass of the earth-moon system (that is, find the distance of the center of mass from the earth's center). The mass of the earth is mp =5.97 x 10" kg and the mass of the moon is mM =7.35 x 10 kg. The distance between the earth and the moon is d=D3.84x 10 m. Assume the orbital radius of the moon is equal to the distance between the centers of the earth and the moon. Express your answer with the appropriate units.arrow_forward1. The mass of Saturn is 5.68 ✕ 1026 kg, and the mass of Uranus is 8.68 ✕ 1025 kg. The average distance of separation, measured between their centers, is 1.44 ✕ 109 km. (a) Locate the center of mass (in m) of the Saturn-Uranus system as measured from the center of Saturn. m from Saturn's centerarrow_forward
- The mass of the Sun is 2 × 1030 kg, the mass of Mercury is 3.3 × 10 23 kg, and the center-to-center distance is 5.8 × 10 10 m. How far from the center of the Sun is the center of mass of the Sun– Mercury system? Note that the Sun's radius is 7 × 108 m.arrow_forward46. The mass of the Earth is 5.97 X 1024 kg, and the mass of the Moon is 7.35 X 102 kg. The distance of separa- tion, measured between their centers, is 3.84 X 10$ m. Locate the center of mass'of the Earth-Moon system as measured from the center of the Earth.arrow_forward- Show that the center of mass of the Earth-Sun system is located inside the Sun. (The Sun's mass Mo = 2 x 100 kg, the Earth's mass M. = 6 x 10ª kg, the Sun's radius Ro =7x 10° m, and the Earth-Sun distance d, = 1.5 x 10" m.) Where is the center of mass of the Sun-Jupiter system? (Jupiter's mass M, = 2 x 107 kg, Jupiter-Sun distance d, = 1.4 x 102 m.)arrow_forward
- two-point masses 6 kg and 10 kg are at 2m and 4 m form the origin of the X-axis. locate the position of the center of the masses of the two-point masses (a) from the origin (b) from the 6kg mass.arrow_forwardPlanets A and B have masses MA and MB , respectively, where MA>MB , and radii RA and RB , respectively. The centers of the planets are separated by a distance D. A spaceship of mass m uses its engines to fly through the two-planet system a distance r from the center of Planet A along the dashed line shown. Point P is on the dotted line and on the line connecting the centers of the two planets. On the axis attached, sketch a graph of the gravitational potential energy Ug of the two planet–spaceship system as a function of position y along the dashed line shown in the original figure. On the horizontal axis, point y<P is above point P in the figure. If a similar spaceship that has twice the mass of the original spaceship passes along the same path between the planets, would the escape speed at point P for the new spaceship be greater than, less than, or equal to the escape speed of the original spaceship at point P ? Explain your reasoningarrow_forwardObjects "mAmA" and "mBmB" have the same mass, and "mCmC" has double the mass of "mAmA". Which of the following locations best represents the object's center of mass? 5 3 4 1 2arrow_forward
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