What is the gravitational force between two 10 kg masses separated by a distance

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Question: What is the gravitational force between two 10 kg masses separated by a distance of 2 m?

Options:

Correct Answer: 0.25 N

Solution:

Using Newton\'s law of gravitation: F = G(m1*m2)/r² = (6.674 × 10⁻¹¹)(10*10)/(2²) = 0.25 N.

What is the gravitational force between two 10 kg masses separated by a distance of 2 m?

What is the gravitational force between two 10 kg masses separated by a distance of 2 m?

Step 1: Identify the masses involved. Here, both masses (m1 and m2) are 10 kg.
Step 2: Identify the distance between the two masses. The distance (r) is 2 m.
Step 3: Recall the gravitational constant (G), which is approximately 6.674 × 10⁻¹¹ N(m/kg)².
Step 4: Use the formula for gravitational force: F = G(m1 * m2) / r².
Step 5: Substitute the values into the formula: F = (6.674 × 10⁻¹¹) * (10 * 10) / (2 * 2).
Step 6: Calculate the numerator: 10 * 10 = 100.
Step 7: Calculate the denominator: 2 * 2 = 4.
Step 8: Now substitute these results back into the formula: F = (6.674 × 10⁻¹¹ * 100) / 4.
Step 9: Calculate the force: F = (6.674 × 10⁻⁹) / 4 = 0.25 N.

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