An astronaut working on the Moon tries to determine the gravitational constantly throwing
a Moon rock of mass m with a velocity of vertically into the sky. The astronot the
Moon has a density p of 3340 kg/m and a radius R of 1740 km
(a) Show with (1) that the potential energy of the rock at heighth above the surface is preby
E--
Rih
(b) Next, show that the gravitational constant can be determined by
R
(-
pe
(c) What is the resulting Gif the rock is thrown with 30 km/h and reaches 25 m
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