What is the gravitational force between two objects of mass 5 kg and 10 kg separ

What is the gravitational force between two objects of mass 5 kg and 10 kg separated by a distance of 2 m? (G = 6.67 × 10^-11 N m²/kg²)

What is the gravitational force between two objects of mass 5 kg and 10 kg separated by a distance of 2 m? (G = 6.67 × 10^-11 N m²/kg²)

Step 1: Identify the masses of the two objects. Here, m1 = 5 kg and m2 = 10 kg.
Step 2: Identify the distance between the two objects. Here, r = 2 m.
Step 3: Identify the gravitational constant G, which is given as G = 6.67 × 10^-11 N m²/kg².
Step 4: Write down the formula for gravitational force: F = G * (m1 * m2) / r².
Step 5: Calculate the product of the masses: m1 * m2 = 5 kg * 10 kg = 50 kg².
Step 6: Calculate the square of the distance: r² = (2 m)² = 4 m².
Step 7: Substitute the values into the formula: F = (6.67 × 10^-11) * (50) / (4).
Step 8: Calculate the numerator: (6.67 × 10^-11) * (50) = 3.335 × 10^-9.
Step 9: Divide the numerator by the denominator: F = (3.335 × 10^-9) / (4) = 8.3375 × 10^-10 N.
Step 10: Round the final answer to two decimal places: F ≈ 1.67 × 10^-10 N.

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