You are given total mass am how do you divide it into twobparts so that gravitaional force brtween them
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hey mate ur ans
Let r be the direction between the parts
F=Gm(M−m)r2F=Gm(M−m)r2
=Gr2=Gr2(mM−m2)(mM−m2)
The force will be maximum
dFdmdFdm=0=0
ie ddm[Gr2ddm[Gr2(mM−m2)]=0(mM−m2)]=0
Gr2Gr2(M−2m)=0(M−2m)=0
M−2m=0M−2m=0
M=2mM=2m
MmMm=
Let r be the direction between the parts
F=Gm(M−m)r2F=Gm(M−m)r2
=Gr2=Gr2(mM−m2)(mM−m2)
The force will be maximum
dFdmdFdm=0=0
ie ddm[Gr2ddm[Gr2(mM−m2)]=0(mM−m2)]=0
Gr2Gr2(M−2m)=0(M−2m)=0
M−2m=0M−2m=0
M=2mM=2m
MmMm=
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