To approximate the gravitational force of attraction between the girl and the boy, we can use Newton's law of universal gravitation. The equation is given by:
F = (G * (m1 * m2)) / r^2
Where:
- F is the gravitational force of attraction between the objects
- G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2)
- m1 and m2 are the masses of the objects (in this case, the girl and the boy)
- r is the distance between the objects (in this case, 2.5 meters)
Plugging in the values:
F = (6.67430 × 10^-11) * ((46.0) * (60.0)) / (2.5^2)
Now, let's calculate the answer.
F = (6.67430 × 10^-11) * (2760.0) / (6.25)
F = 1.472 x 10^-9
Therefore, the approximate gravitational force of attraction between the girl and the boy is approximately 1.472 x 10^-9 Newtons.