Physics 103: Discussion 13 - Gravitational Forces on Spaceships and Planets, Study notes of Physics

This document from a physics 103 course covers various problems related to gravitational forces acting on spaceships and planets. Students are asked to find the net gravitational force on a spaceship located halfway between earth and the moon, determine the altitude and period of a satellite in circular orbit around earth, and calculate the mass of jupiter from its orbital data. Additionally, a problem about a spacecraft near a black hole is presented, requiring calculations of the total force on the spacecraft and the difference in gravitational fields acting on its occupants.

Typology: Study notes

Pre 2010

Uploaded on 09/02/2009

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Physics 103 : Discussion 13
29. The average distance separating Earth and the Moon is 384 000 km. Use the data in Table 7.3 to find the net
gravitational force exerted by Earth and the Moon on a spaceship with mass 3.00 x 104 kg located halfway
between them.
35. A satellite moves in a circular orbit around Earth at a speed of 5 000 m/s. Determine (a) the satellite’s altitude
above Earth’s surface and (b) the period of the satellite’s orbit.
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Physics 103 : Discussion 13

29. The average distance separating Earth and the Moon is 384 000 km. Use the data in Table 7.3 to find the net gravitational force exerted by Earth and the Moon on a spaceship with mass 3.00 x 104 kg located halfway between them. 35. A satellite moves in a circular orbit around Earth at a speed of 5 000 m/s. Determine (a) the satellite’s altitude above Earth’s surface and (b) the period of the satellite’s orbit.

37. Io, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of

4.22 x 10

5

km. From these data, determine the mass of Jupiter.

2. 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 1.0m radius black hole having a mass

100 times that of the sun. The nose of the spacecraft is pointing toward the center of the

black hole and the distance between the nose and the black hole is 10.0km.

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?