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An asteroid of mass m is approaching earth, initially at a distance of 10 R_e with speed v_i. It hits the earth with a speed v_f (R_e and M_e are radius and mass of earth), then :

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vf2=vi2+2GmMeR1−110

vf2=vi2+2GMeRe1+110

vf2=vi2+2GMeRe1−110

vf2=vi2+2GmRe1−110

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detailed solution

Correct option is C

−GMem10Re+12mvi2=−GMemRe+12mvf2⇒vf2=vi2+2GMeRe1−110

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An asteroid of mass m is approaching earth, initially at a distance of 10 Re with speed vi. It hits the earth with a speed vf (Re and Me are radius and mass of earth), then :

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An asteroid of mass m is approaching earth, initially at a distance of 10 R_e with speed v_i. It hits the earth with a speed v_f (R_e and M_e are radius and mass of earth), then :