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.

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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section10.3: Center Of Mass Revisited

Problem 10.2CE

See similar textbooks

Related questions

Q: If 1% of the Earth’s mass were transferred to the Moon, how far would the center of mass of the…

Q: Four objects of masses 2 kg, 3kg, 5kg, and 4kg are located along the x axis at -0.5m, 0.0m, 0.20m,…

Q: Four masses are connected by 48.9cm long, massless, rigid rods. y B 1 A 1 If their masses are ma =…

Q: Center of Mass. b)The mass of the Earth is 6x1024 kg and the mass of the Moon is 7.4x1022kg. The…

Q: Two asteroids collide and stick together. The first asteroid has mass of 15×103kg and is initially…

A: Let the first asteroid is moving horizontally while the second asteroid is moving at an angle of…

Q: A 6 meter rod has a linear density of f(x) = ax + b, if one one end the linear density is 2kg/m and…

A: Given data The length of the rod is l = 6 m The relation of the linear density is f (x) = ax + b The…

Q: 13) A 6m by 6m uniform square plate is attacked to an isosceles triangle with base 6m and height…

Q: y Three point masses are placed at the corners of a triangle as shown in the figure. Find the…

A: Given information :- For mass of 100 g - m1 , x1 → 100 g , 0…

Q: Object 1 is located at (0,1.4) m and has a mass of 79 kg. Object 2 is located at (9.4,4.1) m and…

Q: 48. Two particles are moving along the x axis. Particle 1 has a mass m, and a velocity v, = +4.6…

Q: The mass of Uranus is 8.68 ✕ 1025 kg, and the mass of Neptune is 1.02 ✕ 1026 kg. The average…

A: Given: The mass of Uranus is m1=8.68×1025 kg. The mass of Neptune is m2=1.02×1026 kg. The distance…

Q: Journey through the Center of the Earth. A 1024-kg blue ball is dropped from an initial z-position…

A: Mass of blue ball (m) = 1024 kg Initial z position (x) above surface = 4×106 m Radius of planet (R)=…

Q: Find the center of mass of the three-mass system shown in the figure relative to the mass mmm = 1.29…

A: Take the axis in which the masses lie to be x-axis, the position of mass m to be x=0, mass 1.50kg to…

Q: The mass of Jupiter is 1.90 x 102' kg, and the mass of Uranus is 8.68 x 1025 kg. The average…

Q: A spacecraft of mass 1250 kg is docked (attached) to a space station of mass 5830 kg. Both are…

A: Given data as per question m1 = 1250kg m2 = 5830kg u = 7840m/s v1 = 6350m/s

Q: 49. A system with 3 particles of masses 3kg, 8kg and m kg are located at positions with coordinates…

Q: Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right…

A: Given data- Three point particles of masses m1=1.0 kg, m2=1.5 kg, and m3=2.5 kg Let mass m1=1.0 kg…

Q: Find the position of the center of mass of the system of the sun and Jupiter. Does the center of…

A: Step 1: Astronomical data is given We need to find the position of centre of mass of sun and…

Q: A system consists of two particles, each of mass m=5 g, with positions and velocities as follows: r¡…

A: Given: r→1=2i⏜+2j⏜+4k⏜r→2=4j⏜-4k⏜v→1=4i⏜+2k⏜v→2=2j⏜-k⏜

Q: Gauss's Law for Mass) Journey through the Center of the Earth. A 1024-kg blue ball is dropped from…

A: Given that---- Mass of ball = 1024 kg Mass of planet = 41.5 x 1015 kg Radius of planet = 7.1 x 106…

Q: A comet is traveling through space with a speed of 3.00 ✕ 104 m/s when it collides with an asteroid…

A: Given Mass of comet = 1.45 ✕ 1014 kg Mass of asteroid = 6.55 ✕ 1020 kg Initially:speed of comet =…

Q: For a ballistic pendulum, if the length L = 2.485 meter, angle of deflection from vertical θ =…

A: Conservation of momentum is used to calculate the velocity of the bullet before it colloid with the…

Q: mass of Venus is 4.868 ✕ 1024 kg and its orbital radius is an average of 1.082 ✕ 1011 m. Calculate…

A: m=4.868x1024 kgradius=1.082x1011morbit period=0.6150 year =6.6150x365x24x3600 sec…

Q: A light rod of length ℓ = 1.00 m rotates about an axis perpendicular to its length and passing…

Q: A 300 kg space probe in deep space has an initial velocity v =(12,–9,20) km/s. It fires its thrusts…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: ad the position of the center of mass of the system of the sun and Jupiter. Does the center of ss…

A: Center of mass =(m1 x1 +m2 x2 )/m1 +m2

Q: A 1.40-kgkg block of wood sits at the edge of a table, 0.750 mm above the floor. A 1.05×10−2-kgkg…

Q: Two asteroids collide and stick together. The first asteroid has mass of 1.44x104 kg and is…

Q: An average-sized asteroid located 5.0x107 km from the centre of the Earth with mass 2.0x1013 kg is…

A: Given data: Distance of asteroid from the center of Earth, r=5×107km=5×1010m Mass of asteroid,…

Q: Part A: When their centers are a distance 30.0 m apart, find the speed of the 21.0 kg sphere.…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: • P9 Relative to an origin at the center of the Earth, where is the center of mass of the Earth-Moon…

Q: Center of Mass. c) The mass of the Sun is 2x1030 kg. The distance between the Earth and the Sun is…

A: Given, The mass of the sun = 2×1030 kg = M1 The mass of the Earth = 6×1024 kg = M2 Take the center…

Q: A satellite with a mass of 45 kg fires its rocket thrusters which gives an impulse of 1035 kg*m/s.…

A: Given data: The mass of satellite is m=45 kg. The impulse is p=1035 kg·m/s.

Q: Two asteroids strike head-on: before the collision, asteroid A AmA = 7.5 * 10 3.3 kms 12 kgB Ge has…

A: Given: The mass of asteroid A mA=7.5×1012 kg The mass of asteroid B mB=1.45×1013 kg velocity of…

Q: (Gauss's Law for Mass) Journey through the Center of the Earth. COLLAB. A 1024-kg blue ball is…

A: Given data: The mass of planet is m=47.5x1015 kg. Radius of planet is r=7.6x106 m. Time taken by…

Q: Determine the escape velocity of a body from the moon. Take the moon to be a uniform sphere of…

Q: The masses of the Earth and Moon are 5.98x1024 kg and 7.35x1022 kg , respectively, and their centers…

A: Consider Earth and moon to be along a straight line and take this straight line to be the x-axis.…

Q: The mass of Jupiter is 1.90 x 1027 kg, and the mass of Uranus is 8.68 x 1025 kg. The average…

A: Given data: Mass of Jupiter (m1) = 1.90 × 1027 kg Position of Jupiter (x1) = 0 km Mass of Uranus…

Q: A space vehicle is traveling at 4450 km/h relative to the Earth when the exhausted rocket motor is…

Q: Mass M1= 20kg and is initially moving to the right at a velocity of V1= 15 m/s. Mass M2 = 5kg and is…

Q: Find the center of mass coordinates XCM y YCM of the arrangement of masses shown. Assume that the…

Q: Calculate the location of the center of mass of the earth-moon system (that is, find the distance of…

A: Part A: Center of Mass of the Earth-moon system from earth's Center = (MEarth ×0) + (MMoon × d)…

Q: he mass of Venus is 4.87 x 1024 kg, and the mass of Earth is 5.97 x 1024 kg. The average distance of…

A: The centre of mass of 2 planet is called BarycentreIt can be calculated…

Q: 32) of Earth as it crosses our moon's orbit, a distance of 3.84 × 108 m from the earth's center.…

A: Given data The speed of the meteorite is: vi-m = 14.8 km/s = 14.8 x 103 m/s The distance of the moon…

Q: Three particles are distributed in the xy-plane. The masses and the coordinates for the three…

Question

The mass of the Sun is 2 × 10³⁰ kg, the mass of Mercury is 3.3 × 10²³ kg, and the center-to-center distance is 5.8 × 10¹⁰ 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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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?
Two stars of masses M and m, separated by a distance d, revolve in circular orbits about their center of mass (Fig. P11.50). Show that each star has a period given by T2=42d3G(M+m) Proceed as follows: Apply Newtons second law to each star. Note that the center-of-mass condition requires that Mr2 = mr1, where r1 + r2 = d.
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.)
The 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?
Consider the sun and its largest planet Jupiter. On the line joining them, how far from the center of the sun os their center of mass? Is it within or outside the sun? (Jupiter-sun distance is 778 x 106 km, diameter of the sun is 1.4 x 106 km, the sun is 1000 times as massive as Jupiter.)
Calculate 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.
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 .
A 500 kg spherical mass and a 300 kg spherical mass are released from rest while their centers are 30 meters apart out in space, far away from any other massive objects. What is the initial acceleration of the 300 kg mass, just after it is released? a)7.9×10^−9 m/s^2 b)5.2×10^−9 m/s^2 c) 6.4×10^−11 m/s^2 d) 3.7×10^−11 m/s^2
A 4.00 kg mass (mass 1) moves to the right with a speed of 3.00 m/s and collides with a 2.50 kg mass (mass 2) moving to the left with a speed of 1.50 m/s. Assuming the col- lision is elastic, what are the velocities of the first and second masses following the collision? A. mass 1: 2.01 m/s to the right, mass 2: 1.43 m/s to the right B. mass 1: -0.46 m/s, mass 2: 4.04 m/s to the right C. mass 1: -1.05 m/s to the left, mass 2: 2.05 m/s to the right D. mass 1: 1.81 m/s to the right, mass 2: 1.24 m/s to the right
A space vehicle is traveling at 4450 km/h relative to the Earth when the exhausted rocket motor is disengaged and sent backward with a speed of 82 km/h relative to the command module. The mass of the motor is four times the mass of the module. What is the speed (km/h) of the command module relative to Earth after the separation? (Note: this answer requires slightly higher precision than normal.)
two partucles are moving along the x axis. particle 1 mass a mass m1 and a velocity v1=3.5. particle 2 has a mass m2 adn a velocity v2=-6.2. the velocity of the center of mass of these two particles is zero. find the ratio m1/m2 od the masses of these particles
Pluto and its satellite Charon have masses which are more similar to each other than any other knonw pair of orbiting bodies in the Solar system. How far from the center of pluto is the barycenter or center of mass of the Pluto-Charon system? Take the mass of Pluto to be 1.31 × 10^22 kg, and 1.59 × 10^21 kg for Charon (about one eighth that of Pluto). Assume Pluto and its moon Charon are separated by 19,640 km while the radius of Pluto and Charon are 1190 km and that of Charon are 606 km respectively. Treating Pluto and Charon as spherically symmetric objects, how far from Pluto is the barycenter of the Pluto - Charon pair, and is this point inside are outside of Pluto? Hint: Place Pluto at the origin and Charon on the x axis. A. 289 km; inside B. 781 km; inside C. 2130 km; outside D. 5910 km; outside