RO Suppose G = 3, EB 8. AF 7, m2EBG 19. m EGF = 28, and m_CAE = 51. Find each value SAM 29. EF 30. AG 31. AD
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Answer:
Here, g=9.81m s
−2
R=6.37×10
6
m, r=3.84×10
8
m
T=27.3days =27.3×24×60×60s
∴M
e
=
G
gR
e
2
=
6.67×10
−11
9.81×(6.37×10
6
)
2
=5.97×10
24
kg
Alternative method: Since the gravitational pull provides the required centripetal force, so
mr(2π/T
2
)=GM
e
m/r
2
or M
e
=
GT
2
4π
2
r
3
=
6.67×10
−11
×(27.3×24×60×60)
2
4×(22/7)
2
×(3.84×10
8
)
3
=6.02×10
24
kg.
Explanation:
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