What is the gravitational force between two 5 kg masses separated by a distance

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Question: What is the gravitational force between two 5 kg masses separated by a distance of 2 m?

Options:

Correct Answer: 6.25 N

Solution:

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

What is the gravitational force between two 5 kg masses separated by a distance of 2 m?

What is the gravitational force between two 5 kg masses separated by a distance of 2 m?

Step 1: Identify the masses. Here, both masses (m1 and m2) are 5 kg.
Step 2: Identify the distance between the masses. The distance (r) is 2 m.
Step 3: Use the gravitational constant (G). G is 6.674 × 10⁻¹¹ N(m/kg)².
Step 4: Plug the values into the formula F = G(m1*m2)/r².
Step 5: Calculate m1 * m2, which is 5 kg * 5 kg = 25 kg².
Step 6: Calculate r², which is 2 m * 2 m = 4 m².
Step 7: Substitute the values into the formula: F = (6.674 × 10⁻¹¹ N(m/kg)² * 25 kg²) / 4 m².
Step 8: Calculate the numerator: 6.674 × 10⁻¹¹ N(m/kg)² * 25 = 1.6685 × 10⁻⁹ N m²/kg².
Step 9: Divide the numerator by the denominator: F = (1.6685 × 10⁻⁹ N m²/kg²) / 4 = 4.17125 × 10⁻¹⁰ N.
Step 10: The gravitational force between the two masses is approximately 4.17 × 10⁻¹⁰ N.

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