Two bodies of masses 10 kg and 1000 kg are at a distance 1 m apart. At which point on the line joining them will the gravitational field-intensity be zero ?
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Answer:
M1 = 10kg, M2 = 1000kg.
according to question,
Gm1/x square = Gm2(x-1) whole square.
10/x square = 1000(x-1) whole square.
1/x square = 100(x-1) whole square.
1/x = 10(1-x).
1-x = 10x
1 = 11x .
x = 1/11 metre.
hence, distance from M1 will be 1/11 metre
and
distance from M2 will be 10/11 metre.
hope it helps
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