The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is :
v=gR=GMR=GρVR=Gρ43πR3R=R43πρG,v=\sqrt{gR}=\sqrt{\frac{GM}R}=\sqrt{\frac{G\rho V}R}=\sqrt{\frac{G\rho \frac 43 \pi R^3}R}=R\sqrt{\frac 43\pi \rho G,}v=gR=RGM=RGρV=RGρ34πR3=R34πρG,
v∼R,v\sim R,v∼R,
v2=4v1.v_2=4v_1.v2=4v1.
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