Two bodies of masses 2 kg and 8 kg are separated by a distance of 9 m . The point where the resultant gravitational field intensity is zero is at a distance of

Question

Two bodies of masses 2 kg and 8 kg are separated by a distance of 9 m . The point where the resultant gravitational field intensity is zero is at a distance of, 4 . 5 m from each mass, 6 m from 2 kg, 6 m from 8 kg, 2.5 m from 2 kg

MARKS App · Accepted Answer

If x is the distance of point on the line joining the two masses from mass m 2 ′ where gravitational field intensity is zero, then G m r - x 2 = G m 2 x 2 or 2 9 - x 2 = 8 x 2 or 1 9 - x = 2 x On solving, x = 6 m

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