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a 200 kg moon and a 400 kg probe are separated by 10 m in space. what i…

Question

a 200 kg moon and a 400 kg probe are separated by 10 m in space. what is the gravitational force between them? a 5.34×10^-7 n b 5.34×10^-9 n c 5.34×10^-6 n d 5.34×10^-10 n

Explanation:

Step1: Recall the formula for gravitational force

The formula for gravitational force is \( F = G\frac{m_1m_2}{r^2} \), where \( G = 6.67\times10^{- 11}\text{ N}\cdot\text{m}^2/\text{kg}^2\), \(m_1 = 200\text{ kg}\), \(m_2 = 400\text{ kg}\), and \(r = 10\text{ m}\).

Step2: Substitute the values into the formula

$$ LATEXBLOCK0 $$

Answer:

B. \(5.34\times 10^{-8}\text{ N}\)