Earths mass Me 5'97 X 1024 kg'

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Mass of the Earth Me 5.97 X 1024 kg Radius of
the Earth Re 6.37 X 106 m Gravity g ?
Earths mass Me 5.97 X 1024 kg.
Radius of Earth Re
6.37 X 106 m
Me
G
g
We know that gravity

Re2
5.97 X 1024 kg
6.67 X 10-11 Newton - m2/kg2 X
g

(6.37 X 106 m)2
1024 X 10-11
6.67 X 5.97 X
g

6.37 X 6.37 X 1012
1013
39.8199 X
g

40.5769 X 1012
1013 X 10-12
39.8199 X
g

40.5769
10
39.8199 X
g

9.8 m/s2.
40.5769
2
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1. Mass of planet Mercury Mm is 0.055 of earths
mass. Find out its surface gravity gm if its
radius Rm is 2.42 X 106.
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2. Mass of planet Venus Mv is 0.81 of earths
mass. Find out its surface gravity gvif its
radius Rv is 6.05 X 106.
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3. Mass of planet Mars MM is 0.11 of earths
mass. Find out its surface gravity gMif its
radius RM is 3.43 X 106.
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3
Gravity of Mercury
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Mass of Mercury Mm 0.055 of earths mass.
Earths mass Me 5.97 X 1024 kg.
So mass of Mercury Mm 0.055 X 5.97 X 1024 kg.
3.28 X 1023 kg.
Radius of Mercury Rm
2.42 X 106
Mm
G
gm
We know that gravity

Rm2
3.28 X 1023
6.67 X 10-11 Newton m2/kg2 X
gm

(2.42 X 106m)2
1023 X 10-11
6.67 X 3.28 X
gm

2.42 X 2.42 X 1012
1012
21.8776 X
gm

5.8564 X 1012
21.8776
gm

3.735 m/s2 or 0.381 of the Earth.
5.8564
4
Gravity of Venus
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Mass of venus Mv 0.81 of earths mass.
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Earths mass Me 5.97 X 1024 kg.
So mass of venus Mv 0.81 X 5.97 X 1024 kg.
4.83 X 1024 kg.
Radius of Venus Rv
6.05 X 106
Mv
G
gv
We know that gravity

Rv2
4.83 X 1024
6.67 X 10-11 X
gv

(6.05 X 106)2
1024 X 10-11
6.67 X 4.83 X
gv

6.05 X 6.05 X 1012
1013
32.2161 X
gv

36.6025 X 1012
1013 X 10-12
32.2161 X
gv

36.6025
10
32.2161 X
8.8 m/s2 or 0.9 of the Earth.
gv

36.6025
5
Gravity of Mars
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Mass of Mars MM 0.11 of earths mass.
MUTE
Earths mass MM 5.97 X 1024 kg.
So mass of Mars MM 0.11 X 5.97 X 1024 kg.
6.56 X 1023 kg.
Radius of Mars RM
3.43 X 106
MM
G
gM
We know that gravity

RM2
6.56 X 1023
6.67 X 10-11 X
gM

(3.43 X 106)2
1023 X 10-11
6.67 X 6.56 X
gM

3.43 X 3.43 X 1012
1012
43.7552 X
gM

11.7649 X 1012
43.7552
gM
3.719 m/s2 or 0.379 of the Earth.

11.7649