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A star , 2 .5 times the mass of sum , co...

A star , 2 .5 times the mass of sum , collapse to a size of 12 km with a speed of 1.2 rps . T the object placed on the surface remains stuck to the surface due to gravity ? [ mass of sun `=2xx10^(30)kg`]

Text Solution

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`g=(GM)/(R^(2))=(6.67xx10^(-11)xx25xx2xx10^(30))/(12xx10^(3))^(2)`
`g=0.2316xx10^(13)ms^(-2)`
`omega^(2) R = (1.2xx2pi)^(2)(1.2xx10^(7))=6.8xx10^(8)ms^(-2)`
Since `g " gt"omega ^(2)R` , the object remains stuck to its surface.
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