posted by jake .
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
ii) Earth on a fully suited 100-kg astronaut
standing on Earth’s surface.
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