54. After consuming all of its nuclear fuel, a massive star cancollapse to form a black hole, which is an immensely denseobject whose escape speed is greater than the speed oflight. Newton's law of universal gravitation still describesthe force that a black hole exerts on objects outside it. Aspacecraft in the shape of a long cylinder has a length of100 m, and its mass with occupants is 1000 kg. It hasstrayed too close to a black hole having a mass 100 timesthat of the Sun (Figure P7.54). If the nose of the space-craft points toward the center of the black hole, and if thedistance between the nose of the spacecraft and the blackhole's center is 10 km, (a) determine the total force on thespacecraft. (b) What is the difference in the force per kilo-gram of mass felt by the occupants in the nose of the shipversus those in the rear of the ship farthest from the blackhole?100 m10 kmFigure P7.54Black hole

Part (a): Determine the total force on the spacecraft The formula for the gravitational force…

Answered: 54. After consuming all of its nuclear…

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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The escape velocity from a massive object is the speed needed to reach an infinite distance from it and have just slowed to a stop, that is, to have just enough kinetic energy to climb out of the gravitational potential well and have none left. You can find the escape velocity by equating the total kinetic and gravitational potential energy to zero E = = muesc - GmM/r=0 Vesc = √2GM/r where G is Newton's constant of gravitation, M is the mass of the object from which the escape is happening, and r is its radius. This is physics you have seen in the first part of the course, and you should be able to use it to find an escape velocity from any planet or satellite. For the Earth, for example the escape velocity is about 11.2 km/s, and for the Moon it is 2.38 km/s. A very important point about escape velocity: it does not depend on what is escaping. A spaceship or a molecule must have this velocity or more away from the center of the planet to be free of its gravity, 1. In the atmosphere of…
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Two objects, m1 and m2 are gravitationally attracted to one another. However, m1 is 500 times more massive than m2. Which mass experiences the greater gravitational attractive pull force? A) mass m1 experiences a greater attractive force from m2 B) mass m2 experiences a greater attractive force from m1 C) both masses experience equal but opposite attractive forces D) the problem statement does not provide enough information to be solved

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