Answer:
Explanation:
Formula from the Universal Law of Gravitation :
[tex]F = G\frac{m_1m_2}{r^{2} }[/tex]
5.5 × 10⁸ kg
Given :
F = 2 × 10³ N
m₁ = m₂ = M
r = 100 m
Solving :
F = G(M)(M) / r²
M² = Fr²/G
M = √2 × 10³ × (10²)² / (20/3) × 10⁻¹¹
M = √10¹⁸ × 6 / 20
M = 10⁹ √0.3
M = 10⁹ × 0.55
M = 5.5 × 10⁸ kg
