Two objects of masses 3 kg and 4 kg are placed 1 m apart. What is the gravitational force between them? (G = 6.67 × 10^-11 N m²/kg²)

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Q: Two objects of masses 3 kg and 4 kg are placed 1 m apart. What is the gravitational force between them? (G = 6.67 × 10^-11 N m²/kg²)

Solution: F = G * (m1 * m2) / r² = (6.67 × 10^-11) * (3 * 4) / (1²) = 8.01 × 10^-11 N

Steps: 10

Step 1: Identify the masses of the two objects. The first object has a mass of 3 kg and the second object has a mass of 4 kg.
Step 2: Identify the distance between the two objects. They are placed 1 meter apart.
Step 3: Write down the formula for gravitational force: F = G * (m1 * m2) / r².
Step 4: Substitute the values into the formula. Here, G = 6.67 × 10^-11 N m²/kg², m1 = 3 kg, m2 = 4 kg, and r = 1 m.
Step 5: Calculate the product of the masses: 3 kg * 4 kg = 12 kg².
Step 6: Calculate the square of the distance: 1 m² = 1 m².
Step 7: Substitute these values into the formula: F = (6.67 × 10^-11) * (12) / (1).
Step 8: Perform the multiplication: (6.67 × 10^-11) * (12) = 8.004 × 10^-10 N.
Step 9: Since we are dividing by 1, the result remains the same: F = 8.004 × 10^-10 N.
Step 10: Round the answer to two decimal places: F ≈ 8.01 × 10^-11 N.