An asteroid of mass m is approaching earth initially at distance of 10R_(e) with speed v_(i). It hits the earth with speed vf (Re and M_(E) are radius and mass of earth then

An asteroid of mass m is approaching earth initially at distance of 10

1.	An asteroid of mass m is approaching earth initially at distance of 10R_(e) with speed v_(i). It hits the earth with speed vf (Re and M_(E) are radius and mass of earth then
Answer» `v_(f)^(2) = v_(i)^(2)(2GM)/(M_(E)R)(1-(1)/(10))` `v_(f)^(2) = v_(i)^(2)(2GM_(e))/(R_(e))(1+ (1)/(10))` `v_(f)^(2) = v_(i)^(2)(2GM_(e))/(R_(e))(1-(1)/(10))` `v_(f)^(2) = v_(i)^(2)(2Gm)/(R_(e))(1-(1)/(10))` Answer :D