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`        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 `
7 years ago

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
```
7 years ago
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