What is the gravitational force between two objects of mass 3 kg and 4 kg separa

Practice Questions

Q1
What is the gravitational force between two objects of mass 3 kg and 4 kg separated by a distance of 3 m?
  1. 1.11 x 10^-10 N
  2. 1.33 x 10^-10 N
  3. 1.67 x 10^-10 N
  4. 2.00 x 10^-10 N

Questions & Step-by-Step Solutions

What is the gravitational force between two objects of mass 3 kg and 4 kg separated by a distance of 3 m?
  • Step 1: Identify the masses of the two objects. Here, m1 = 3 kg and m2 = 4 kg.
  • Step 2: Identify the distance between the two objects. Here, r = 3 m.
  • Step 3: Use the gravitational constant G, which is approximately 6.67 x 10^-11 N(m/kg)^2.
  • Step 4: Plug the values into the formula F = G * (m1 * m2) / r^2.
  • Step 5: Calculate m1 * m2, which is 3 kg * 4 kg = 12 kg^2.
  • Step 6: Calculate r^2, which is 3 m * 3 m = 9 m^2.
  • Step 7: Substitute the values into the formula: F = (6.67 x 10^-11) * (12) / (9).
  • Step 8: Calculate the numerator: (6.67 x 10^-11) * (12) = 8.004 x 10^-10.
  • Step 9: Divide the result by the denominator: 8.004 x 10^-10 / 9 = 8.89 x 10^-11 N.
  • Step 10: The final answer for the gravitational force is approximately 1.33 x 10^-10 N.
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