Horizontal direction: x=v0t
Vertical direction: h= 12gt2.
Gravitational acceleration of the lunar surface: g=2hv20x2.
Let the mass of the moon be m, and for an object with the mass of the moon surface being m, it is equal to gravity according to gravity.
GMmR2=mg
Solution: M=2hR2v20G? x2
According to the density formula: ρ = MV ρ=MV=3hv202GπRx2. ..
(2) Let the speed of the spacecraft flying around the surface of the moon be V, according to the principle that gravity equals gravity.
Yes: mg=? mv2R
Solution: v=v0x2hR
Answer: (1) The density of the moon is 3hv202g π rx2;
(2) The speed of the spacecraft orbiting the lunar surface is V 0x2hr.