The third point mass should be placed 64 cm away from 155 kg in between them.
The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.
Given that: a 155 kg point mass is located 1.50 m from a 275 kg point mass.
Let a new point unit mass is placed x m away from 155 kg in between them.
If the net gravitational force on the third point mass due to the original two masses is zero:
G* 155/x² = G * 275/(1.50 -x)²
(1.50 - x)² = (275/155)x²
1.50 - x = ±1.33 x
2.33 x = 1.50
x = 0.64 m = 64 cm.
Hence, the third point mass should be placed 64 cm away from 155 kg in between them.
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