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chinthalapudi prashanth Grade: 11
        

A particle is at rest at a distance R(earth;s radius) above the earth's radius. The minimum speed with which it should be projected so that it should not return is 

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

this question can be solved by conservation of energy


 according to energy conservation ,total initial energy of system is always conserved...


initial potential energy=-GMm/2R                        (m is the mass object & M is mass of earth)


initial kinetic energy=mV2/2


total energy intial=mV2/2 - GMm/2R .....................1


 


finally, particle reaches to infinity &


potential energy is -GMm/infinity=0


final kinetic energy mV12/2


total energy final is mV12/2..............................2


equating  eq 1 and 2


   V= { GM/R + V12 }1/2


for minimum V ,V1 can be zero


 so, V =(GM/R)1/2

6 years ago
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