AP EAMCET202421 May 2024Evening ShiftPhysicsGravitationActual
A particle is projected from the surface of the earth with a velocity equal to twice the escape velocity. When particle is very far from the earth, its speed would be
Options
- AV _ e
- B2 ~V _ e
- C3 ~V _ e
- D2 V_e
Correct answer
C. 3 ~V _ e
Step-by-step solution
By conservation of mechanical energy, aligned & K _ i + U _ i = K _ f + U _ f & 1 2 ~m (2 v _ e )^2- GMm R _ E = 1 2 mv ^2+0 & 4 v ₂^2- 2 GM R _ E = v ^2 & ~V ^2=4 v _ e ^2- v _ e ^2 [ v _ e = 2 GM R _ E ] & v = 3 v _ e aligned