Question

What is the distance between two objects if one (a 185,000 kg

object) feels a gravitational force of 0.00200 N due to a 225,000 kg object.

Answer 1

We have,

• Force = 0.00200 N => 2×10^-3
• Mass 1 = 185000 Kg => 1.85×10^5
• Mass 2 = 225000 Kg => 2.25×10^5
• G = 6.67×10^-11

`\sf \: F= G \frac{ m_(1) m_(2)}{ {r}^(2) }`

`\sf \: r= \sqrt{G ( m_(1) m_(2))/( F) }`

`\tt \: r= \sqrt{6.67 * {10}^( - 11) \frac{ 2.25 * {10}^(5) * 1.85 * {10}^(5) }{ 2 * {10}^( - 3) } }`

`\tt \: r= \sqrt{ \frac{6.67 * {10}^( - 11) * 4.1 * {10}^(5) }{ 2 * {10}^( - 3) } }`

`\tt \: r= \sqrt{ \frac{6.67 * {10}^( - 11) * 4.1 * {10}^(10) }{ 2 * {10}^( - 3) } }`

`\tt \: r= \sqrt{ \frac{6.67 * 4.1 * {10}^(10) }{ 2 * {10}^( 8) } }`

`\tt \: r \approx \: 37.2`