mp Mp Two planets orbit each other in stable circular orbits at a distance D =7.06 × 10' km. The planets have masses m, = 8.85 × 1024 kg and Mp = 6.70 × 1025 kg. The center of the lower mass planet, m„, is at the origin. How far along the line joining the two planets is the center of mass of the system? СOM — km Note: You can treat spherical bodies as point masses with all the mass at the center of the sphere. When solving this question, you can assume that all the mass m, is at the origin and all the mass Mp is a distance D away. Part 3) The planets both travel in circular orbits around this center of mass. Use this to calculate the speed of the lower mass planet, m,. U, = m/s

mp Mp Two planets orbit each other in stable circular orbits at a distance D =7.06 × 10' km. The planets have masses m, = 8.85 × 1024 kg and Mp = 6.70 × 1025 kg. The center of the lower mass planet, m„, is at the origin. How far along the line joining the two planets is the center of mass of the system? СOM — km Note: You can treat spherical bodies as point masses with all the mass at the center of the sphere. When solving this question, you can assume that all the mass m, is at the origin and all the mass Mp is a distance D away. Part 3) The planets both travel in circular orbits around this center of mass. Use this to calculate the speed of the lower mass planet, m,. U, = m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Kramer goes bowling and decides to employ the force of gravity to "pick up a spare." He rolls the 6.50 kg bowling ball very slowly so that it comes to rest a center-to-center distance of 0.245 m from the one remaining 2.00 kg bowling pin. Treat both the ball and the pin as point objects, and determine the magnitude of the force of gravity ?⃗ grav between them.
2. Three masses are placed on a plane such that the coordinates of the masses are, m1 = 1.0 kg at (1, 0), m2 = 2.0 kg at (2, 0), and m3 = 3.0 kg at (0, 3). Determine the coordinates of the center of the mass of the three masses.
Object A is has more mass than object B. Which statement is true? O Object A weighs less than Object B in outer space, far from any planets, starts, etc. O Object A weighs more than Object B on the Moon. O Object A weighs less than Object B on Earth. O Object B weighs more than Object A on the Moon.
PRINTER VERSION 4 ВАСК NEXT Chapter 13, Problem 079 A certain triple-star system consists of two stars, each of mass m = 4.8×1030 kg, revolving in the same circular orbit of radius r = 3.2x1011 m about a central star of mass M = 6.9x1033 kg (the figure). The two orbiting stars are always at opposite ends of a diameter of the orbit. Calculate the period of revolution of the stars. Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work
A distant exo-planet has a mass that is 100 times bigger than the Earth's, and orbits at a distance 2 times as far from its star as the Earth does from our Sun. The star has the same mass as our Sun. What is the velocity of the star about the center of mass of the exo-planet/star system? Mass of Earth = 6.0 x 1024 kg. Distance of Earth from Sun = 150 x 109 m. Mass of Sun = 2.0 x 1030 kg.
A binary star system has two stars, each with the same mass as our sun, separated by 6.00×1011 mm . A comet is very far away and essentially at rest. Slowly but surely, gravity pulls the comet toward the stars. Suppose the comet travels along a straight line that passes through the midpoint between the two stars. What is the comet's speed at the midpoint?
Asteroids X, Y, and Z have equal mass of 3.0 kg each. They orbit around a planet with M = 6.20×1024 kg. The orbits are in the plane of the paper and are drawn to scale. с Z r Submit Answer S The three asteroids orbit in the same clockwise direction. The angular velocity of Y at n is .... that at i. The period of X is .... that of Y. The period of Y is that of Z. The angular velocity of Z at r is .... that at s. The angular momentum of X at s is .... that at e. The angular momentum of Y is .... that of Z. The angular velocity of Y at r is .... that of Z at r. Tries 0/20
Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 3.0 x 104 kg (about 30 tons). The rocket engines are shut off, and you're coasting along with velocity of km/s. As you pass the location km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of N for 18 s ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) m
The Moon and Earth rotate about their common center of mass, which is located about RCM = 4700 km from the center of Earth. (This is 1690 km below the surface.) Take the distance from the center of the earth to the center of the moon to be 3.84x108 m, and the mass of the moon to be 7.35x1022 kg. a) Write an expression for the general acceleration due to the Moon’s gravity at the center of mass of the system (similar to how g is the general acceleration due to the Earth's gravity at the surface of the Earth). Write your equation using variables from the problem statement as well as M as the mass of the moon, R as the distance between the center of the Earth and the center of the Moon, and any constants required. b) Calculate this acceleration, in meters per second squared. c) Calculate the centripetal acceleration of the center of Earth as it rotates about their common center of mass once each lunar month (about 27.3 d) in m/s2.
Current Attempt in Progress Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass ma. Particle B, at xyz coordinates (2.00d, 2.00d, 2.00d), has mass 4.00ma, and particle C, at coordinates (-3.00d, 2.00d, -3.00d), has mass 4.00mA. A fourth particle D, with mass 3.00ma, is to be placed near the other particles. If distance d = 4.20 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero? %3D (a) Number i Units (b) Number Units (c) Number Units > >
Two stars in a binary system orbit around their center of mass. The centers of the two stars are 6.91x1011 m apart. The larger of the two stars has a mass of 4.17x1030 kg, and its center is 2.22x1011 m from the system's center of mass. What is the mass of the smaller star?
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