1.A moon of mass 8.89E22 kg orbits a planet of mass 8.53E24
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1.A moon of mass 8.89E22 kg orbits a planet of mass 8.53E24 kg in a circle of radius 5.85E5 km.Find the distance from the center of the planet to the center of mass of the planet-moon system.
2.The front of a 106 kg symmetrical rowboat 6.19 m long points toward the shore.Harry,mass 91 kg,stands in the back of the boat,exactly 28.1 m from the shore.If Harry now walks to the front of the boat,how far will he be from the shore?
2.The front of a 106 kg symmetrical rowboat 6.19 m long points toward the shore.Harry,mass 91 kg,stands in the back of the boat,exactly 28.1 m from the shore.If Harry now walks to the front of the boat,how far will he be from the shore?
1、
m1*ω²*r1=m2*ω²*r2
m1*r1=m2*r2
r1+r2=r
r1=[m2/(m1+m2)]r=[853/(8.89+853)]×(5.85E5)≈5.79×10^5Km
r1=[m2/(m1+m2)]r=[853/(8.89+853)]×(5.85E5)≈6.03×10³Km
2、
m1=91Kg m2=106Kg
m1*V1=m2*V2
m1*L1=m2*L2
L1+L2=L
L1=[m2/(m1+m2)]L=[106/(91+106)]×6.19m≈3.33m
28.1-3.33=24.8m
m1*ω²*r1=m2*ω²*r2
m1*r1=m2*r2
r1+r2=r
r1=[m2/(m1+m2)]r=[853/(8.89+853)]×(5.85E5)≈5.79×10^5Km
r1=[m2/(m1+m2)]r=[853/(8.89+853)]×(5.85E5)≈6.03×10³Km
2、
m1=91Kg m2=106Kg
m1*V1=m2*V2
m1*L1=m2*L2
L1+L2=L
L1=[m2/(m1+m2)]L=[106/(91+106)]×6.19m≈3.33m
28.1-3.33=24.8m
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