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32. Two bodies of masses 100 kg and 10,000 kg
at a distance 1 m apart. At which point on the
line joining them will the resultant
gravitational field intensity is zero?
Ans. 1/11 m)
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Explanation:
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M1=100kg
M2=1000kg
R=1m
Let x be the distance of point P from 100kg where the resultant gravitational Intensity is zero.
Gravitational Intensity at P due to body of mass 100kg is equal and opposite to that of object of mass 10,000kg
Gx100/x²=Gx10000/(1-x)²
(1-x)²=100x²
10x =1-x
11x=1
x=1/11m
Therefore at this point gravitational field intensity will be zero.
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