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The masses and the radii of the earth and moon are M1,R1 and M2 and R2 respectively . their centres are distance d apart . the minimum velocity with which aparticle of mass m should be proojected froma point mdiway between their centres so that it escapes to infinity is?


The masses and the  radii of the   earth  and moon are M1,R1 and  M2 and R2  respectively  . their centres are  distance d apart . the minimum velocity with which aparticle  of mass m  should be proojected   froma point mdiway  between their centres  so that it escapes to   infinity is?


Grade:10

1 Answers

Souptik Naha
15 Points
4 years ago
According to the conservation of energy....KE and PE must remain same....so....
(1/2)mv2 + PEearth+ PEmoon=0
(1/2)mv2 -(GM1m)/(d/2)-(GM2 m)/(d/2) =0
(1/2)v2=2G/d(M1+M2)
V=2 (G(M1+M2)/d)(1/2)
 
 

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