Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 5, Problem 29P
To determine
The distance of center of mass of earth-moon system from the center of earth, wherein the mass of earth is
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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?
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.
Jupiter has a mass of 1.9 x 1027 kg—more than twice that of all the other planets in the solar system combined. Its average distance from the sun is 7.78 x 1011 m. If the sun has a mass of 1.99 x 1030 kg and a radius of 6.96 x 108 m, how far from the center of the sun would you find the center of mass of the Jupiter-sun system? (Since Jupiter is so much more massive than the other planets, this position essentially represents the center of mass of the solar system as a whole.)
Chapter 5 Solutions
Physics Fundamentals
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- An astronaut out on a spacewalk to construct a new section of the International Space Station walks with a constant velocity of 2.00 m/s on a flat sheet of metal placed on a flat, frictionless, horizontal honeycomb surface linking the two parts of the station. The mass of the astronaut is 75.0 kg, and the mass of the sheet of metal is 245 kg. a. What is the velocity of the metal sheet relative to the honeycomb surface? b. What is the speed of the astronaut relative to the honeycomb surface?arrow_forward(a) Given that the period of the Moons orbit about the Earth is 27.32 days and the nearly constant distance between the center of the Earth and the center of the Moon is 3.84 108 m, use Equation 13.11 to calculate the mass of the Earth. (b) Why is the value you calculate a bit too large?arrow_forwardSaturns ring system forms a relatively thin, circular disk in the equatorial plane of the planet. The inner radius of the ring system is approximately 92,000 km from the center of the planet, and the outer edge is about 137,000 km from the center of the planet. The mass of Saturn itself is 5.68 1026 kg. a. What is the period of a particle in the outer edge compared with the period of a particle in the inner edge? b. How long does it take a particle in the inner edge to move once around Saturn? c. While this inner-edge particle is completing one orbit abound Saturn, how far around Saturn does a particle on the outer edge move?arrow_forward
- 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_forwardIf 1% of the Earth’s mass were transferred to the Moon, how far would the center of mass of the Earth-Moon-population system move? The mass of the Earth is 5.97 × 1024 kg and that of the Moon is 7.34 × 1022 kg . The radius of the Moon’s orbit is about 3.84 × 105 m .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
- 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.arrow_forwardTwo stars in a binary system orbit around their center of mass. The centers of the two stars are 7.61x1011 m apart. The larger of the two stars has a mass of 3.56x1030 kg, and its center is 2.31x1011 m from the system's center of mass. What is the mass of the smaller star?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_forward
- The mass of Mercury is 3.30 ✕ 1023 kg, and the mass of Mars is 6.42 ✕ 1023 kg. The average distance of separation, measured between their centers, is 1.69 ✕ 108 km. (a) Locate the center of mass (in m) of the Mercury-Mars system as measured from the center of Mercury.arrow_forwardThe Earth has a mass approximately 80 times that of the Moon. The distance between their centers is on average about 384000 km. How far from the center of the Earth is the center of mass of the Earth-Moon system? Multiple Choice Not enough information is given 4800 km 4860 km 4740 kmarrow_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
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