Approximate the gravitational force of attraction between a 49.0 kg girl and a 52.0 kg boy if they are sitting 2.5 m apart
Use Newtonslaw of gravity.
To approximate the gravitational force of attraction between the two individuals, we can make use of Newton's law of universal gravitation. The formula is given as:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force of attraction
G is the gravitational constant (approximately 6.674 × 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects
In this case, the mass of the girl is 49.0 kg (m1) and the mass of the boy is 52.0 kg (m2). The distance between them is 2.5 m (r).
Now, let's substitute these values into the formula and calculate the approximate gravitational force:
F = (6.674 × 10^-11 N m^2/kg^2) * (49.0 kg) * (52.0 kg) / (2.5 m)^2
F = (6.674 × 10^-11 N m^2/kg^2) * (49.0 kg) * (52.0 kg) / (2.5 m * 2.5 m)
F = (6.674 × 10^-11 N m^2/kg^2) * (2548.0 kg^2) / (6.25 m^2)
After performing the calculation, the approximate gravitational force of attraction between the two individuals is obtained.