2. Two spherical celestial objects, call them A and B have mass M1 and M2 withradius R1 and R2 respectively. Initially they are at a distance d from eachother. Now solve the following problems.(a) What would be the gravitational acceleration on the surface of object A? You should ignore B's presence in this case.(b) Find the escape velocity of object B. Again ignore A's presence.(c) Now lets say these two objects, A & B start to move towards each otherdude to mutual gravitational attraction. Find the time when they willcollide with each other. Express you answers in terms of the given pa-rameters and any universal constant.

Answered: Image /qna-images/answer/fc5f8edd-56b8-46e5-be0a-ee2c42f1f5dc.jpg

Answered: 2. Two spherical celestial objects,…

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)...

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13. Imagine the earth and all its matter is compressed. a) What size of radius for the earth would give the maximum escape velocity (c= 3.0 x 10*)? b) What would happen to all objects trying to escape if the earth was compressed even further? What has been created?
The free-fall acceleration on the surface of Neptune is about one and one-half times that on the surface of the Earth. The radius of Neptune is about 3.50 RE (RE = Earth's radius = 6.4 *106 m). Find the ratio of their average densities, ?Neptune/?Earth.
In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.40×1016 kg and a radius of 8.20 km What is the speed of a satellite orbiting 4.90 km above the surface? What is the escape speed from the asteroid?
A massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. (a) One of these stars is believed to be in an approximātely circular orbit with a radius of about 1.50 x 10° AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting. kg (b) What is the speed of this star? V star m/s How does it compare with the speed of the Earth in its orbit? V star VEarth How does it compare with the speed of light? V star
Two planets orbit a star in circular orbits, as shown. The mass of the star is 8 * 101 kg. The mass of planet 1 is 8 * 10ª kg. The orbital radius of planet 2 is 2 x 1o1ºm. When the planets are in the configuration shown F=(-9.34 * 1024 i + 1.28 * 1027 j) N. X- a. What is the orbital radius of planet 1? b. What is the mass of planet 2? c. What is the orbital period of planet 2?
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…
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?
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?
Black Hole Gravity III. If a person is falling feet first into a black hole, her feet are at the Schwarzschild radius, and her head is outside the radius by an additional 2 m, what is the approximate ratio of the gravitational acceleration felt at her feet compared to the gravitational acceleration felt at her head? Would she be stretched and squished differently at her head and feet? Assume the gravitational acceleration is g = GM⁄r2.
Two spherical celestial objects, call them A and B have mass M1 and M2 with radius R1 and R2 respectively. Initially they are at a distance d from each other. Now solve the following problems. (a) What would be the gravitational acceleration on the surface of object A ? You should ignore B’s presence in this case. (b) Find the escape velocity of object B. Again ignore A’s presence. (c) Now lets say these two objects, A & B start to move towards each other dude to mutual gravitational attraction. Find the time when they will collide with each other. Express you answers in terms of the given parameters and any universal constant.
8. The escape velocity of a bullet from the surface of planet Y is 1695.0 m/s. Calculate the escape velocity from the surface of the planet X if the mass of planet X is 1.65 times that of Y, and its radius is 0.895 times the radius of Y.

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