Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 10, Problem 25PQ
To determine
The location of center of mass of the Jupiter-Io system if Jupiter’s mass 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 10 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 10.1 - What Do You Already Know About Rockets? Think...Ch. 10.3 - Prob. 10.2CECh. 10.3 - Prob. 10.3CECh. 10.3 - Prob. 10.4CECh. 10.5 - What is the purpose of the ropes attached to the...Ch. 10 - Prob. 1PQCh. 10 - Prob. 2PQCh. 10 - Prob. 3PQCh. 10 - A mother pushes her son in a stroller at a...Ch. 10 - Prob. 5PQ
Ch. 10 - Estimate the magnitude of the momentum of a car on...Ch. 10 - Prob. 7PQCh. 10 - Prob. 8PQCh. 10 - What is the magnitude of the Earths momentum...Ch. 10 - The velocity of a 10-kg object is given by...Ch. 10 - A particle has a momentum of magnitude 40.0 kg ...Ch. 10 - Prob. 12PQCh. 10 - Latoya, sitting on a sled, is being pushed by...Ch. 10 - A baseball is thrown vertically upward. The mass...Ch. 10 - Center of Mass Revisited N Find the center of mass...Ch. 10 - Prob. 16PQCh. 10 - Prob. 17PQCh. 10 - Two metersticks are connected at their ends as...Ch. 10 - A boy of mass 25.0 kg is sitting on one side of a...Ch. 10 - Prob. 20PQCh. 10 - Prob. 21PQCh. 10 - Prob. 22PQCh. 10 - Prob. 23PQCh. 10 - Prob. 24PQCh. 10 - Prob. 25PQCh. 10 - A person of mass m stands on a rope ladder that is...Ch. 10 - Prob. 27PQCh. 10 - Prob. 28PQCh. 10 - Two particles with masses 2.0 kg and 4.0 kg are...Ch. 10 - A billiard player sends the cue ball toward a...Ch. 10 - A crate of mass M is initially at rest on a...Ch. 10 - Prob. 32PQCh. 10 - Prob. 33PQCh. 10 - According to the National Academy of Sciences, the...Ch. 10 - Prob. 35PQCh. 10 - Prob. 36PQCh. 10 - Prob. 37PQCh. 10 - Usually, we do not walk or even stand on a...Ch. 10 - Prob. 39PQCh. 10 - There is a compressed spring between two...Ch. 10 - There is a compressed spring between two...Ch. 10 - A submarine with a mass of 6.26 106 kg contains a...Ch. 10 - A 44.0-kg child finds himself trapped on the...Ch. 10 - Problems 44 and 45 are paired. C A model rocket is...Ch. 10 - A model rocket is shot straight up and explodes at...Ch. 10 - An astronaut finds herself in a predicament in...Ch. 10 - Prob. 47PQCh. 10 - Prob. 48PQCh. 10 - Prob. 49PQCh. 10 - Prob. 50PQCh. 10 - The space shuttle uses its thrusters with an...Ch. 10 - Prob. 52PQCh. 10 - Prob. 53PQCh. 10 - Prob. 54PQCh. 10 - Prob. 55PQCh. 10 - The cryogenic main stage of a rocket has an...Ch. 10 - To lift off from the Moon, a 9.50 105 kg rocket...Ch. 10 - Prob. 58PQCh. 10 - Prob. 59PQCh. 10 - Prob. 60PQCh. 10 - Prob. 61PQCh. 10 - An astronaut out on a spacewalk to construct a new...Ch. 10 - Prob. 63PQCh. 10 - Prob. 64PQCh. 10 - A racquetball of mass m = 43.0 g, initially moving...Ch. 10 - Prob. 66PQCh. 10 - Prob. 67PQCh. 10 - Prob. 68PQCh. 10 - A comet is traveling through space with speed 3.33...Ch. 10 - A ballistic pendulum is used to measure the speed...Ch. 10 - Prob. 71PQCh. 10 - Prob. 72PQCh. 10 - Prob. 73PQCh. 10 - Figure P10.74 provides artists with human...Ch. 10 - Prob. 75PQCh. 10 - A single-stage rocket of mass 308 metric tons (not...Ch. 10 - Prob. 77PQCh. 10 - A light spring is attached to a block of mass 4m...Ch. 10 - Prob. 79PQCh. 10 - Prob. 80PQCh. 10 - A Show that the total momentum of a system of...Ch. 10 - Prob. 82PQCh. 10 - Prob. 83PQ
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- 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_forwardAn 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_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_forward
- If 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_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_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 mass of Venus is 4.87 ✕ 1024 kg, and the mass of Mars is 6.42 ✕ 1023 kg. The average distance of separation, measured between their centers, is 1.20 ✕ 108 km. (a) Locate the center of mass (in m) of the Venus-Mars system as measured from the center of Venus. m from Venus's center (b) Is the center of mass of the system located within Venus? (Assume Venus has a radius of 6.05 ✕ 106 m.) Yes? No?arrow_forwardFind the position of the center of mass of the system of the sun and Jupiter. Does the center of mass lie inside or outside the sun? Astronomical Datat Вody Mass (kg) Radius (m) 1.99 x 1030 7.35 x 102 3.30 X 1023 4.87 x 1024 5.97 x 1024 6.42 x 1023 1.90 x 1027 5.68 X 1026 8.68 x 1025 1.02 X 1026 1.31 X 1022 6.96 x 10 1.74 x 10 2.44 X 10 6.05 x 106 6.37 x 100 3.39 X 10 6.99 x 107 5.82 X 107 2.54 x 10' 2.46 X 107 1.15 x 10 Sun Моon Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Plutogarrow_forward
- Find the position of the center of mass of the system of the sun and Jupiter. Does the center of mass lie inside or outside the sun? Astronomical Datat Вody Mass (kg) Radius (m) Orbit radius (m) 1.99 x 1030 7.35 X 1022 3.30 x 1023 4.87 X 1024 5.97 x 1024 6.42 x 1023 1.90 x 1027 5.68 x 1026 8.68 x 1025 1.02 x 1026 1.31 x 102 Sun 6.96 x 103 1.74 x 10 2.44 x 10 6.05 X 10 6.37 x 106 3.39 x 10 6.99 x 107 5.82 x 10 2.54 X 10' 2.46 x 107 1.15 x 10 Мoon 3.84 X 10% 5.79 x 1010 1.08 X 10" 1.50 x 10!! 2.28 X 101 7.78 x 1011 1.43 x 1012 2.87 x 1012 4.50 x 1012 5.91 X 1012 Mercury Venus Earth Mars Jupiter Satum Uranus Neptune Plutoțarrow_forward4. Sphere A has mass ma = 0.06 kg, velocity magnitude va = 3.0 m/s making an angle = V6 magnitude vc = 25° with the + axis. Sphere B has mass m₂ = 0.04 kg, velocity magnitude 4.0 m/s and moves along the +y axis. Sphere C has mass mc = 0.05 kg, velocity 5.0 m/s and moves along the +x axis. See figure. They are all approaching the origin as they slide on a frictionless surface. The three spheres arrive at the origin at the same time and stick together. (a) What is the final velocity of the combined object? (b) How does the final kinetic energy compare to the kinetic energy before the collision?arrow_forwardThe mass of Venus is 4.87 x 1024 kg, and the mass of Saturn is 5.68 x 1026 kg. The average distance of separation, measured between their centers, is 1.32 x 10° km. (a) Locate the center of mass (in m) of the Venus-Saturn system as measured from the center of Venus. m from Venus's center (b) Is the center of mass of the system located within Venus? (Assume Venus has a radius of 6.05 x 106 m.) Yes Noarrow_forward
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