Estimate the force of attraction between a 50.0 kg woman and a 70.0 kg man sitting 2.00 m apart.
If you assume they are spheres, then
force=G*50*70/4 in Newtons.
This assumes also they are not electrically charged.
6.673 *10
To estimate the force of attraction between the woman and the man, we can use the law of universal gravitation. According to this law, 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 the Force of Gravity (F) is given by:
F = (G * m1 * m2) / r^2
where:
F is the force of gravity
G is the gravitational constant (approximately 6.67430 × 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
Given:
m1 = 50.0 kg (mass of the woman)
m2 = 70.0 kg (mass of the man)
r = 2.00 m (distance between them)
Now, let's plug in the values into the formula:
F = (6.67430 × 10^-11 N m^2 / kg^2 * 50.0 kg * 70.0 kg) / (2.00 m)^2
Calculating this, we find:
F ≈ 9.793 N
Therefore, the estimated force of attraction between the woman and the man is approximately 9.793 Newtons.