A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 050 kg. It has strayed too close to a black hole having a mass 103 times that of the Sun. The nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. Black hole 100 m 10.0 km (a) Determine the total force on the spacecraft. A black hole can be treated in the same manner as any other point mass and used in the equation for the gravitational force as long as you are outside the Schwarzschild radius. N (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in acceleration grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.) N/kg

A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 050 kg. It has strayed too close to a black hole having a mass 103 times that of the Sun. The nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. Black hole 100 m 10.0 km (a) Determine the total force on the spacecraft. A black hole can be treated in the same manner as any other point mass and used in the equation for the gravitational force as long as you are outside the Schwarzschild radius. N (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in acceleration grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.) N/kg

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 11P: A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1...

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A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 000 kg. Ii has strayed too close to a black hole having a mass 100 times that of the Sun (Fig. P11.11). The nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. (a) Determine the total force on the spacecraft. (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in accelerations grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.)
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