Determine the gravitational force that you exert on another person 1.90 m away. Assume that you and the other person are point masses of 75.0 kg each.
F = GmM/r^2
what's the trouble?
1.04x10^-7
To determine the gravitational force between two point masses, we can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the universal gravitational constant (6.67430 x 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:
Mass of each person (m1 and m2) = 75.0 kg
Distance (r) = 1.90 m
Now we can substitute the values into the formula:
F = (6.67430 x 10^-11 N*m^2/kg^2 * 75.0 kg * 75.0 kg) / (1.90 m)^2
Calculating this equation step by step:
F = (6.67430 x 10^-11 N*m^2/kg^2 * 75.0 kg * 75.0 kg) / (1.90 m * 1.90 m)
F = (6.67430 x 10^-11 N*m^2) * (75.0 kg * 75.0 kg) / (1.90 m * 1.90 m)
F = (6.67430 x 10^-11 N*m^2) * (5625 kg^2) / (3.61 m^2)
F = (6.67430 x 10^-11 N*m^2) * (5625 kg^2) / (3.61 m^2)
F ≈ 1.0386 x 10^-8 N
Therefore, the gravitational force you exert on another person 1.90 m away is approximately 1.0386 x 10^-8 N.
To determine the gravitational force between two point masses, you can use Newton's law of universal gravitation formula:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force between the two masses,
G is the gravitational constant (approximately 6.67430 × 10^-11 Nm^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
In this case, both you and the other person are point masses of 75.0 kg each, and the distance between you two is 1.90 m.
Plugging in the values into the formula:
F = (6.67430 × 10^-11 Nm^2/kg^2) * (75.0 kg * 75.0 kg) / (1.90 m)^2
Calculating the equation:
F = (6.67430 × 10^-11 Nm^2/kg^2) * (5,625 kg^2) / (3.61 m^2)
F ≈ 1.1087 × 10^-8 N (rounded to four decimal places)
Therefore, the gravitational force that you exert on another person 1.90 m away is approximately 1.1087 × 10^-8 N.