The radius of the earth is 6370Km and the radius of mars is 3440Km. If an object weights 200N on earth, what will be the gravity on mars? Mars has a mass of 0.11 times the mass of the earth.
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how do you get there this expression?
g(mars) = GM(mars)/R(mars)^2
OpenStudy (anonymous):
g of any planet is given by this formula
OpenStudy (anonymous):
and G is a constant, isnt it?
OpenStudy (anonymous):
if the objects mass is m and planets mass is M and radius R the force bw them is GMm/R^2
so the acceleration due to gravity on the planet is F/m = GM/R^2
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OpenStudy (anonymous):
G is the Universal Gravitational Constant
OpenStudy (anonymous):
F=GMm/R^2
OpenStudy (anonymous):
yes....now F/m is acceleration
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so now ur doing gravitation? how old r u?
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OpenStudy (anonymous):
Im helping my newphew. He is finishin high school.
OpenStudy (anonymous):
im 22 year old.
OpenStudy (anonymous):
and what r u studying?
OpenStudy (anonymous):
Electronics and telecomunications. At the university. Im working on my thesis proyect. I received physics when I was in 2d semester.
OpenStudy (anonymous):
thesis on what topic?
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OpenStudy (anonymous):
Pattern recognition :)
OpenStudy (anonymous):
Digital signal processing
OpenStudy (anonymous):
ohk
OpenStudy (anonymous):
So what step should I take next? In the problem
OpenStudy (anonymous):
W(Earth)/W(mars) = g(Earth)/g(mars) = [m(E)/m(M)] x [ R(E)/R(M)]^2 = 200/W
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OpenStudy (anonymous):
now crossmultiply and evaluate W
OpenStudy (anonymous):
get it?
OpenStudy (anonymous):
let me check it out
OpenStudy (anonymous):
sorry
OpenStudy (anonymous):
make it[R(M)/R(E)]^2
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
what does W represent in = 200/W
OpenStudy (anonymous):
is that the W I should isolate?
OpenStudy (anonymous):
Weight on mars
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
w=200/( [m(E)/m(M)] x [ R(E)/R(M)]^2 )
Am I right?
OpenStudy (anonymous):
R(m) /R(e)
OpenStudy (anonymous):
insteade of r(e) by r(m)
OpenStudy (anonymous):
you mean isolating and simplifying, I get
w=r(e)/r(m)
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OpenStudy (anonymous):
confused
OpenStudy (anonymous):
no no....i mean replace the [R(e)/R(m)]^2 by [R(m)/R(e)]^2..rest is same
OpenStudy (anonymous):
in the first equaton?
OpenStudy (anonymous):
In this equation?
W(Earth)/W(mars) = g(Earth)/g(mars) = [m(E)/m(M)] x [ R(E)/R(M)]^2 = 200/W
OpenStudy (anonymous):
W(Earth)/W(mars) = g(Earth)/g(mars) = [m(E)/m(M)] x [ R(M)/R(E)]^2 = 200/W
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OpenStudy (anonymous):
from this equation I isolate W. and I should get the answer. Right?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Ok thanks:)
OpenStudy (anonymous):
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