After consuming all of its nuclear fuel, a massive star can collapse to form a black hole, which is an immensely dense object whose escape speed is greater than the speed of light. Newton's law of universal gravitation still describes the froce that a black hole exerts on objects outside it. A spacecraft in the shape of a long cylinder has a length of 100m, and its mass with occupants is 1000kg. It has strayed too close to a black hole having a mass 100 times that of the sun. If the nose of the spacecraft points toward the center of the black hole, and if the distance between the nose of the spacecraft and the black hole's center is 10km (a) determine the total force on the spacecraft. (b) What is the difference in the force per kilogram of mass felt by the occupants in the nose of the ship versus those in the rear of the ship farthest from the black hole?
After consuming all of its nuclear fuel, a massive star can collapse to form a black hole, which is an immensely dense object whose escape speed is greater than the speed of light. Newton's law of universal gravitation still describes the froce that a black hole exerts on objects outside it. A spacecraft in the shape of a long cylinder has a length of 100m, and its mass with occupants is 1000kg. It has strayed too close to a black hole having a mass 100 times that of the sun. If the nose of the spacecraft points toward the center of the black hole, and if the distance between the nose of the spacecraft and the black hole's center is 10km (a) determine the total force on the spacecraft. (b) What is the difference in the force per kilogram of mass felt by the occupants in the nose of the ship versus those in the rear of the ship farthest from the black hole?
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