- #1

latitude

- 56

- 0

a) Speed of satellite and the period of its orbit?

**Vt^2 = GM/R**

= (6.67 x 10^-11)(6 x 10^24) / (6.37 x 10^6 + 640000) (That's radius of Earth plus height of satellite)

= 7555.8 m/s

T^2 = (4pi^2 / GM) x R^3

= 4pi^2/ (6.67 x 10^-11)(6 x 10^24) x (7010000)^3 (again, radius of Earth plus heigh of satellite)

= 5829.3

= (6.67 x 10^-11)(6 x 10^24) / (6.37 x 10^6 + 640000) (That's radius of Earth plus height of satellite)

= 7555.8 m/s

T^2 = (4pi^2 / GM) x R^3

= 4pi^2/ (6.67 x 10^-11)(6 x 10^24) x (7010000)^3 (again, radius of Earth plus heigh of satellite)

= 5829.3

b) Total energy of satellite in its orbit?

**E = -1/2 (GMm/R)**

= -1/2 (6.67 x 10^-11)(6 x 10^24)(220) / 7010000)

= 6279885877 J

= -1/2 (6.67 x 10^-11)(6 x 10^24)(220) / 7010000)

= 6279885877 J

c) What is the angular momentum of the satellite about the centre of the Earth?

**L = I**

L = I (vt/R)

= I (7555.8/7010000)

*w*L = I (vt/R)

= I (7555.8/7010000)

I'm stuck now. I am pretty sure my first few answers are wrong anyway. I don't have much grasp of the concepts of this fancy gravitational stuff, I don't think. The question goes on...

d) If the satellite loses 1.5 x 10^5 J per orbital revolution due to air resistance, determine the satellite's altitude and speed after its 1500th revolution.

e) What is the angular momentum of the satellite about the centre of the Earth after the 1500th revolution? Has angular momentum about the centre of the Earth been conserved? If not, explain what has caused the change.

**Needless to say, I have no idea how to tackle these.**