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Andrews [41]
2 years ago
8

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.

​
Biology
1 answer:
NeTakaya2 years ago
5 0

Answer:

Explanation:

Formula from the Universal Law of Gravitation :

F = G\frac{m_1m_2}{r^{2} }

5.5 × 10⁸ kg

Given :

F = <u>2 × 10³ N</u>

m₁ = m₂ = <u>M</u>

r = <u>100 m</u>

<u />

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

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