We can use Newton's law of gravitation to calculate the force between two objects:
F = G * (m1 * m2) / r^2
where F is the gravitational force between the two objects, m1 and m2 are the masses of the two objects, r is the distance between the centers of the two objects, and G is the gravitational constant.
In this case, we have two objects with masses of 100 grams and 200 grams, which are separated by a distance of 3 meters. We need to convert the masses to kilograms, since the gravitational constant is given in SI units:
m1 = 100 grams = 0.1 kg
m2 = 200 grams = 0.2 kg
Substituting these values into the formula, we get:
F = G * (m1 * m2) / r^2
F = 6.67×10^-11 Nm² kg^-2 * (0.1 kg * 0.2 kg) / (3 m)^2
F = 6.67×10^-11 Nm² kg^-2 * 0.02 kg² / 9 m²
F = 1.48×10^-13 N
Therefore, the gravitational force between the two objects is approximately 1.48×10^-13 N.
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Answer:
We can use Newton's law of gravitation to calculate the force between two objects:
F = G * (m1 * m2) / r^2
where F is the gravitational force between the two objects, m1 and m2 are the masses of the two objects, r is the distance between the centers of the two objects, and G is the gravitational constant.
In this case, we have two objects with masses of 100 grams and 200 grams, which are separated by a distance of 3 meters. We need to convert the masses to kilograms, since the gravitational constant is given in SI units:
m1 = 100 grams = 0.1 kg
m2 = 200 grams = 0.2 kg
Substituting these values into the formula, we get:
F = G * (m1 * m2) / r^2
F = 6.67×10^-11 Nm² kg^-2 * (0.1 kg * 0.2 kg) / (3 m)^2
F = 6.67×10^-11 Nm² kg^-2 * 0.02 kg² / 9 m²
F = 1.48×10^-13 N
Therefore, the gravitational force between the two objects is approximately 1.48×10^-13 N.