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An asteroid of mass m is approaching ear...

An asteroid of mass m is approaching earth, initially at a distance `10R_(E)` with speed with `v(i)`. It hits earth with a speed `v_(f)`('R_(E) " and "M_(E)` are radius and mass of earth ). Tjem

A

`v_(f)^(2) = v_(i)^(2) (2Gm)/(M_(e)R)(1-(1)/(10))`

B

`v_(f)^(2) = v_(i)^(2) (2GM_(e))/(R_(e))(1+ (1)/(10))`

C

`v_(f)^(2) = v_(i)^(2) (2GM_(e))/(R_(e))(1-(1)/(10))`

D

`v_(f)^(2) = v_(i)^(2) (2Gm)/(R_(e))(1-(1)/(10))`

Text Solution

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The correct Answer is:
D
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