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2 uniform spheres of equal radii R but mass M and 4M have acenter to center separation 6R.the 2 spheres are held fixed .Aprojectile of mass m is projected from the surface of sphere ofmass M directly towards the center of the second one Obtainan expression for the minimum speed v of the projectile so thatit reaches the surface of second one.itl14Then eutral patr NC see the figureus defined 티 rhepozition where the two frescaneelench other onctly If 아-t, we hoveDR-tThe neutral paintr-SA does not concern us inpartiele with a speed which would enable it toThe mechanical enurgy at ure surface ot Mble T US ON # 14 2R It is sufficient to project theThereatthe grester gravitational pull of 4M would sufficeAt therneutral painto Ehe mechanicarenergyN is purely potentialR 4RFrom the pnpe o touerionofmhcnl rasgy40Mm12 R20a4143)30IMSRthe speed of thn projncthie in rero at N,A point to ote is that speedbut inon zero when at strikes the heavier aphere 4M

Answer» 2 uniform spheres of equal radii R but mass M and 4M have acenter to center separation 6R.the 2 spheres are held fixed .Aprojectile of mass m is projected from the surface of sphere ofmass M directly towards the center of the second one Obtainan expression for the minimum speed v of the projectile so thatit reaches the surface of second one.itl14Then eutral patr NC see the figureus defined 티 rhepozition where the two frescaneelench other onctly If 아-t, we hoveDR-tThe neutral paintr-SA does not concern us inpartiele with a speed which would enable it toThe mechanical enurgy at ure surface ot Mble T US ON # 14 2R It is sufficient to project theThereatthe grester gravitational pull of 4M would sufficeAt therneutral painto Ehe mechanicarenergyN is purely potentialR 4RFrom the pnpe o touerionofmhcnl rasgy40Mm12 R20a4143)30IMSRthe speed of thn projncthie in rero at N,A point to ote is that speedbut inon zero when at strikes the heavier aphere 4M


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