Imaginary symbol of surveying and mapping engineering, on which a bright moon and a pair of footprints are outlined with the brush strokes of China's calligraphy, symbolizes the ultimate dream of luna

Imaginary symbol of surveying and mapping engineering, on which a bright moon and a pair of footprints are outlined with the brush strokes of China's calligraphy, symbolizes the ultimate dream of lunar exploration. (1) The object moves horizontally on the surface of the moon,

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.