A test point-like particle moves in the gravitational potential = - C/r, where is a positive constant and r = √√x² + y² + z² is the radial distance from the centre of space. Initially the particle has a velocity Vo pointing outwards in the radial direction and is at distance ro from the centre. What is the minimal value of the speed vo= |vo| for which the particle never falls back to its original position: Select one: O a. vo = √2C/ro O b. It cannot be calculated since we do not know the mass of the test particle V /2Cro 2C/ro O C. Vo = O d. vo

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A test point-like particle moves in the gravitational potential = - C/r, where C is a positive constant and r = - √x² + y² + z² is the radial distance from the centre of
space. Initially the particle has a velocity vo pointing outwards in the radial direction and is at distance from the centre. What is the minimal value of the speed vo= |vo| for
which the particle never falls back to its original position:
Select one:
O a. vo v
/2C/ro
O b. It cannot be calculated since we do not know the mass of the test particle
O c.
Vo =
2Cro
O d. vo 2C/ro
Transcribed Image Text:A test point-like particle moves in the gravitational potential = - C/r, where C is a positive constant and r = - √x² + y² + z² is the radial distance from the centre of space. Initially the particle has a velocity vo pointing outwards in the radial direction and is at distance from the centre. What is the minimal value of the speed vo= |vo| for which the particle never falls back to its original position: Select one: O a. vo v /2C/ro O b. It cannot be calculated since we do not know the mass of the test particle O c. Vo = 2Cro O d. vo 2C/ro
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