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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?

Aditi Chauhan , 11 Years ago
Grade 10
anser 1 Answers
Souptik Naha

Last Activity: 7 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)-(GMm)/(d/2) =0
(1/2)v2=2G/d(M1+M2)
V=2 (G(M1+M2)/d)(1/2)
 
 
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