Answer:
Mass of the second spaceship is 3.10 × 10⁴ kg 0r 31000 kg
Step-by-step explanation:
From Newton's law of universal gravitation, the force of attraction , F, between two bodies is directly proportional to the product of their masses and inversely proportional to the square root of the distance between them.
F = Gm₁m₂/d²
m₁ = 24000 kg
m₂ = ?
d = 300 m
F = 5.51 × 10⁻⁷ N
Gravitational constant, G = 6.67 × 10⁻¹¹ N.m²/kg²
Making m₂ subject of the formula : m₂ = F × d² / G × m₁
m₂ = 5.51 x 10⁻⁷ × 300 × 300 / 6.67 × 10⁻¹¹ × 24000
m₂ = 3.1 × 10⁴ kg
Therefore, Mass of the second spaceship is 31000 kg