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Two bodies of mass m(1) and m(2) are ini...

Two bodies of mass `m_(1) and m_(2)` are initially at rest placed infinite distance apart. They are then allowed to move towards each other under mutual gravitational attaction. Show that their relative velocity of approach at separation r betweeen them is
`v=sqrt(2G(m_(1)+m_(2)))/(r)`

Answer

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Knowledge Check

  • Two particles of mass m and M are initially at rest and infinitely separated from each other. Due to mutual interaction, they approach each other. Their relative velocity of approach at a separation d between them, is

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