solve this question..............plz
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Answer:
1 : 1
Explanation:
let the mass of the 1st part be m
and the mass of the 1st part be M-m
F = Gm(M-m)/d²
F' =dF/dm = G(M-2m)/d² = 0
m = M/2
the ratio of masses = M/2 : M/2 = 1 : 1
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(¯`·.¸¸.·´¯`·.¸¸.-> Solution <-.¸¸.·´¯`·.¸¸.·´¯)
Let the mass of the block is M
Mass of one part is m
Mass of another is M-m
Force between the Blocks
F = G(m)(M-m)/d²
F = GMm/d² - Gm²/d²....(1)
For F to be max df/dm has to zero
Differentiate (1) with respect to m
dF/dm = GM/d² d(m)/dm - {G/d²}d(m²)/dm
dF/dm = GM/d²(1) - {G/d²}(2m)
put df/dm=0
0 = GM/d²(1) - {G/d²}(2m)
0 = Gd²(M - 2m)
M = 2m
Hence ratio of both masses....M-m/m
2m-m/m = 1 : 1
#answerwithquality
#Bal
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