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A mass of `6xx10^24` kg (equal to the mass of the earth) is to be compressed in a sphere in such a way that the escape velocity from its surface is 3xx10^8ms^-2`. What should be the radius of the sphere? |
Answer» The mass of the sphere `=6xx10^24kg` `Ve=(2GM)/R` or `R=(2GM)/(Ve^2)` `=(2xx6.67xx10^-11xx6xx10^24)/((3xx10^8)^2)` =2xx40.02xx10^13)/(9xx10^16)` `=80.02/9xx10^-3m` `=8.89xx10^-3m` `=9mm.` |
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