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What will be the escape speed from a pla...

What will be the escape speed from a planet having mass 8 times that of earth and diameter 4 times that of the earth ? `[v_(e)=11.2 km//s]`

Text Solution

Verified by Experts

`v_(p) = ? `
Now , `v = sqrt((2GM)/R)`
` :. (v_(p))/(v_(e)) = sqrt((M_(p))/(M_(e))xx(R_(e))/(R_(p))) = sqrt((8M_(e))/(M_(e)) xx (R_(e))/(4R_(e)))`
` :. V_(p) = sqrt(2) v_(e)`
` = sqrt(2) xx11.2`
` = 15.84 ` km/s
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