Answer :
M2 = 0.665 kg
The mass of other object is 0.665 kg
Solution:
To solve this, we must apply Newton's law of universal gravitation, which states that the force of gravity between two massive bodies 1, 2, is proportional to their masses M1 and M2 and inversely proportional to the square of the distance d between them:
F = (GM1M2) / D²
Here G = 6.67 × 10⁻¹¹ Nm²/kg²
F = 50×10⁻¹⁰N
M1 = 2.00kg
D = .20 m
by substituting values ,
50×10⁻¹⁰N =(( 6.67 × 10⁻¹¹ Nm²/kg²)(2.00kg)M2) / (.20 m)²
50×10⁻¹⁰ = 1.334 × 10⁻¹⁰ M2 /( .20)²
(50×10⁻¹⁰) (.20)² = 1.334 × 10⁻¹⁰ M2
2 ×10⁻¹⁰ = 1.334 × 10⁻¹⁰ M2
M2 = 1.334 × 10⁻¹⁰ / 2 ×10⁻¹⁰
M2 = 0.665 kg
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