Posted by **jake** on Monday, July 8, 2013 at 9:18pm.

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.

- physics -
**Elena**, Tuesday, July 9, 2013 at 1:13pm
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

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