A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1660 kg. It has strayed too close to a black hole having a mass 103 times that of the Sun (Msun = 1.99 x 1030 kg). 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. Assume that the mass of the spacecraft is evenly distributed.

Question

(a) Determine the gravitational force on the front half of the ship. (N)

(b) Determine the gravitational force on the rear half of the ship. (N)

(c) What is the difference in the gravitational pull on the front and rear halves of the ship? This difference in gravitational pull 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)

Answer 1

Use Newtons law of gravity.

Answer 2

1.9e27,