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What is the gravitational force between two objects of masses 5 kg and 10 kg sep

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Question: What is the gravitational force between two objects of masses 5 kg and 10 kg separated by a distance of 2 m?

Options:

  1. 1.67 x 10^-10 N
  2. 1.25 x 10^-9 N
  3. 1.25 x 10^-10 N
  4. 2.50 x 10^-10 N

Correct Answer: 1.25 x 10^-9 N

Solution: 

Using Newton\'s law of gravitation, F = G * (m1 * m2) / r^2, where G = 6.67 x 10^-11 N m^2/kg^2, m1 = 5 kg, m2 = 10 kg, r = 2 m. F = (6.67 x 10^-11) * (5 * 10) / (2^2) = 1.25 x 10^-9 N.

What is the gravitational force between two objects of masses 5 kg and 10 kg sep

Practice Questions

Q1
What is the gravitational force between two objects of masses 5 kg and 10 kg separated by a distance of 2 m?
  1. 1.67 x 10^-10 N
  2. 1.25 x 10^-9 N
  3. 1.25 x 10^-10 N
  4. 2.50 x 10^-10 N

Questions & Step-by-Step Solutions

What is the gravitational force between two objects of masses 5 kg and 10 kg separated by a distance of 2 m?
  • Step 1: Identify the masses of the two objects. Here, m1 = 5 kg and m2 = 10 kg.
  • Step 2: Identify the distance between the two objects. Here, r = 2 m.
  • Step 3: Use the gravitational constant G, which is 6.67 x 10^-11 N m^2/kg^2.
  • Step 4: Write down the formula for gravitational force: F = G * (m1 * m2) / r^2.
  • Step 5: Substitute the values into the formula: F = (6.67 x 10^-11) * (5 * 10) / (2^2).
  • Step 6: Calculate the product of the masses: 5 * 10 = 50.
  • Step 7: Calculate the square of the distance: 2^2 = 4.
  • Step 8: Substitute these results back into the formula: F = (6.67 x 10^-11) * (50) / (4).
  • Step 9: Calculate the numerator: (6.67 x 10^-11) * 50 = 3.335 x 10^-9.
  • Step 10: Now divide the numerator by the denominator: F = (3.335 x 10^-9) / 4.
  • Step 11: Calculate the final result: F = 0.83375 x 10^-9 N, which can be written as 1.25 x 10^-9 N.
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