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two particles of mass m and M are initially at rest at infinite distance.Find the relative velocity of approach due to gravitational attraction when d is their seperation at any instant ( in terms of G,M,m,and d)

two particles of mass m and M are initially at rest at infinite distance.Find the relative velocity of approach due to gravitational attraction when d is their seperation at any instant ( in terms of G,M,m,and d)

Grade:11

1 Answers

Arun
25750 Points
6 years ago
Dear Student
 
Using the concept of reduced mass,
 
- G*m*M/d  + \mu Vr²/2 = 0
Here
\mu = mM/(m+M)
 
Vr = \sqdt\sqrt2G(m+M)/d
 
Regards
Arun (askIITians forum expert)

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