A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 860 kg. It has strayed too close to a black hole having a mass 98 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. H 100 m- Black hole //10.0 km/ i (a) Determine the total force on the spacecraft. 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
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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 1 860 kg. It has strayed too close to a black hole having a mass 98 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.
H
100 m-
Black hole
//10.0 km/
i
(a) Determine the total force on the spacecraft.
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
Transcribed Image Text:A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 860 kg. It has strayed too close to a black hole having a mass 98 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. H 100 m- Black hole //10.0 km/ i (a) Determine the total force on the spacecraft. 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
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