4. Consider two nearly spherical Soyuz payload vehicles, in orbit about Earth, each with mass 9000 kg and diameter 4.0 m. They are initially at rest relative to each other, 10.0 m from center to center. (As we will see in Kepler's Laws of Planetary Motion, both orbit Earth at the same speed and interact nearly the same as if they were isolated in deep space.) Determine the gravitational force between them and their initial acceleration. Estimate how long it takes for them to drift together, and how fast they are moving upon impact.

4. Consider two nearly spherical Soyuz payload vehicles, in orbit about Earth, each with mass 9000 kg and diameter 4.0 m. They are initially at rest relative to each other, 10.0 m from center to center. (As we will see in Kepler's Laws of Planetary Motion, both orbit Earth at the same speed and interact nearly the same as if they were isolated in deep space.) Determine the gravitational force between them and their initial acceleration. Estimate how long it takes for them to drift together, and how fast they are moving upon impact.

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

Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).
i.Determine the speed of the satellite in terms of G, h, RE (the radius of the Earth), and ME (the mass of the Earth). ii.If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how fast is it moving through space?
A 506-kg satellite is in a circular orbit about Earth at a height above Earth equal to Earth's mean radius. (a) Find the satellite's orbital speed. m/s (b) Find the period of its revolution. (c) Find the gravitational force acting on it. N.
14. "Weighing the moon": Knowing the mass of the Earth, ME, Earth-Moon distance, R, and period of moon orbiting around the Barycenter is T. The mass of the Moon can be determined as 47n? R3 (А) Мм GT2 47?R3/2 (B) Мм GT2 4n?R3 (C) Мм – MẸ GT? 4n²R3 (D) MM = MẸ GT2
You are visiting a newly discovered exoplanet (mass M and radius R) that completes one rotation about its axis every 12 hours (Earth hours). You place your spaceship in a geostationary orbit at an altitude h = 6R above the planet's surface. While in orbit you decided to beam down to the planet to investigate the surface. While on the surface you perform a simple kinematics experiment and discover that the gravitational acceleration at the surface is ap = 0.60g, where g is the gravitational acceleration on the Earth's surface. You can assume that the exoplanet is a uniform sphere, and that your spaceship's orbit is circular. Note: A geostationary orbit is a special type of geosynchronous orbit where the satellite/spaceship remains at the same position above the equator throughout its orbit. Technically the prefix "geo" indicates the Earth, but we'll go ahead and use the term here in reference to this new planet. (a) What is the radius of the planet? R = km (b) What is the mass of the…
1. Estimate the initial velocity in meters/s that needs to be given to a spacecraft moving straight away from earth to make it reach the lunar orbit at 383000 km away from the centre of the earth. The initial orbit of the spacecraft is 4600 km above the surface of the earth. The radius of the earth is 6370 km. 2. A satellite is in an elliptical orbit around the earth. Along its orbit, its distance to the centre of the earth varies from rmin=6752 km to rmax=15360 km. The radius of the earth is 6370 km. What is the maximum and minimum velocity of the satellite in m/s?
2. A satellite is in an elliptical orbit around the earth. Along its orbit, its distance to the centre of the earth varies from rmin=6752 km to rmax=15360 km. The radius of the earth is 6370 km. What is the maximum and minimum velocity of the satellite in m/s?
The planet, named 581 c that has a radius that is 1.5 times the radius of Earth. If the acceleration of the gravity on the surface of the planet 581 c, g 581c = 2.22 g Earth. Find the mass of the planet 581 c.
8.) The Martian moon Deimos has an almost perfectly circular orbit, completed once every 30.3 hours at a speed of 1.35 km/s. What is the radius of its orbit? The radius of Mars is 3.39 x 106 m. What is its escape velocity? To what radius would Mars have to collapse to become a black hole?
Macmillan Learning One of your summer lunar space camp activities is to launch a 1190 kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 203 km. What gain AU in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively. AU = 28777600000 Incorrect
The attractive gravitational force between two particles is increasing if: O a. the product of thier masses is increasing. b.the separation distance between them is increasing. OC. the product of thier masses is decreasing. d. the square of the separation distance between them is increasing.