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

Practice Questions

Q1
What is the gravitational force between two 5 kg masses separated by a distance of 2 m?
  1. 6.25 N
  2. 12.5 N
  3. 9.8 N
  4. 0.5 N

Questions & Step-by-Step Solutions

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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