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

Practice Questions

Q1
What is the gravitational force between two 10 kg masses separated by a distance of 2 m?
  1. 0.25 N
  2. 5 N
  3. 10 N
  4. 20 N

Questions & Step-by-Step Solutions

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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