Question

Two objects of equal mass are kept 100 m apart. If the gravitation between them is 2 x 103 N, calculate the mass of each object.​

Answer 1

Step-by-step explanation:

Formula from the Universal Law of Gravitation :

`F = G(m_1m_2)/(r^(2) )`

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