Approximate the gravitational force of attraction between a 42.0 kg girl and a 56.0 kg boy if they are sitting 3.0 m apart in physics class.
Grab you calculator:
F=G*42*56/3^2 look up G.
HeHeHe: one of them must not be very attractive.
To approximate the gravitational force of attraction between the girl and the boy, you can use Newton's law of universal gravitation, which states that the force of attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
The formula for Newton's law of universal gravitation is:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force of attraction
G is the gravitational constant (approximately 6.67 x 10^-11 N(m/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 (m1) is 42.0 kg, the mass of the boy (m2) is 56.0 kg, and the distance between them (r) is 3.0 m.
Plugging in the values into the formula, we get:
F = (6.67 x 10^-11 N(m/kg)^2 * 42.0 kg * 56.0 kg) / (3.0 m)^2
Simplifying further:
F = (6.67 x 10^-11 N(m/kg)^2 * 2352 kg^2) / 9.0 m^2
F = (1.569 x 10^-7 N(m/kg)^2 * kg^2) / m^2
Finally, calculating the approximate value:
F ≈ 1.7 x 10^-6 N
Therefore, the approximate gravitational force of attraction between the girl and the boy is approximately 1.7 x 10^-6 Newtons.