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

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

Options:

Correct Answer: 50 N

Solution:

Using Newton\'s law of gravitation, F = G(m1*m2)/r² = (6.674×10⁻¹¹)(10 kg)(10 kg)/(2 m)² = 50 N.

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

What is the gravitational force between two 10 kg masses separated by 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: Use the gravitational constant (G), which is approximately 6.674 × 10⁻¹¹ N(m/kg)².
Step 4: Plug the values into the formula for gravitational force: F = G(m1*m2)/r².
Step 5: Calculate the product of the masses: 10 kg * 10 kg = 100 kg².
Step 6: Calculate the square of the distance: (2 m)² = 4 m².
Step 7: Substitute the values into the formula: F = (6.674 × 10⁻¹¹)(100 kg²)/(4 m²).
Step 8: Calculate the force: F = (6.674 × 10⁻¹¹ * 100) / 4 = 50 N.

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