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

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Question: What is the gravitational force between two objects of mass 3 kg and 4 kg separated by a distance of 3 m?

Options:

Correct Answer: 1.33 x 10^-10 N

Solution:

Using F = G * (m1 * m2) / r^2, F = (6.67 x 10^-11) * (3 * 4) / (3^2) = 1.33 x 10^-10 N.

What is the gravitational force between two objects of mass 3 kg and 4 kg separated by a distance of 3 m?

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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