1. As shown in the following figure, a spacecraft in the shape of a long cylinder has a length of 100 m and its mass with occupants is 1000 kg. It has strayed too close to a black hole having a mass 100 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. Which answers are correct in the followings?


(A) The total force on the spacecraft is 3.93×10¹⁷ N.
(B) The total force on the spacecraft is 2.62×10¹⁷ N.
(C) The total force on the spacecraft is 1.31×10¹⁷ N.
(D) 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, is 2.62×10¹² N/kg.
(E) 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, is 1.31×10¹² N/kg.

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