space question (1 Viewer)

[super.muppy]

2. The Earth, whose radius is 6.38 x 106 m and mass 5.98 x 1024 kg, has an artificial satellite, which orbits at a particular altitude. The mass of the satellite is 540 kg and has acceleration due to gravity at this altitude is 0.233 ms-2. What is the altitude of this orbiting satellite?

Can someone please derive the equation for me or even better answer the question.

 

[nonsenseTM]

isn't it g=Gm1m2/r^2?

 

[luv2luvurmama]

God, i hate physics, always have, always will. Everything about it is crap. I luv maths though , that was fun, i actually enjoyed my hsc exams lol.

 

[super.muppy]

isint that formula for force ?

 

[super.muppy]

2. The Earth, whose radius is 6.38 x 106 m and mass 5.98 x 1024 kg, has an artificial satellite, which orbits at a particular altitude. The mass of the satellite is 540 kg and has acceleration due to gravity at this altitude is 0.233 ms-2. What is the altitude of this orbiting satellite?

Can someone please derive the equation for me or even better answer the question.

its from past half yearly paper - Blakehurst
and where do you sub in acceleration into the formula or is that something thats just there ?

 

[iRuler]

Thats the equation

d^2 = 6.67x10^-11 x (540 x 5.98 x 10^24) / 9.8
d = square root of that

 

[super.muppy]

Thats the equation

d^2 = 6.67x10^-11 x (540 x 5.98 x 10^24) / 9.8
d = square root of that

why is force 9.8?

 

[khorne]

f=m*a
f = 540 * 0.233 ms-2

so whatever that is

 

[iRuler]

f=m*a
f = 540 * 0.233 ms-2

so whatever that is

I see, lol i feel so stupid.

Sorry super.muppy, not 9.8 its the force of the object :/

 

[super.muppy]

i got the answer dw it was using the equation for g as g=(GM/r^2)

 

[richman92]

F = m*a = GmM/r^2
Hence a = GM/(r^2)
r = sqr(GM/a)