the gravitational constant
G =6.67•10⁻¹¹ N•m²/kg²,
Earth’s mass is M₁ = 5.97•10²⁴kg,
Earth’s radius is R₁ = 6.38•10⁶ m.
Moon’s mass is M₂= 7.35•10² kg
Moon’s radius is R₂=1.74•10⁶ m
i) F(Moon)= mg₂= G•m•M₂/R₂²
ii)F(Earth)= mg₁= G•m• M₁ /R₁²
The Moon has a mass of 7.35 � 1022 kg and its
equatorial radius is 1.74 � 106 m. Earth’s mass
is 5.97 � 1024 kg and its equatorial radius is
6.38 � 106 m.
(a) Calculate the magnitude of the gravitational
force exerted by
i) the Moon on a fully suited 100-kg
astronaut standing on the Moon’s
surface, and
ii) Earth on a fully suited 100-kg astronaut
standing on Earth’s surface.
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