The force of gravity between two people is 4.9 x 10-13 Newtons. Person 1 has a mass of 61.3 kilograms, and person 2 has a mass of 93.5 kilograms. The value of G is 6.67 x 10-11 m3/s2 kg. How far apart are they from each other?
To find the distance apart between two people based on the force of gravity, we can use Newton's law of universal gravitation. The law states that the gravitational force 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 gravitational force (F) is given by:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (6.67 x 10^-11 m^3/s^2 kg)
m1 is the mass of person 1 (61.3 kg)
m2 is the mass of person 2 (93.5 kg)
r is the distance between the two people (which we need to find)
In this case, we are given the force between the two people, which is 4.9 x 10^-13 Newtons. We can rearrange the formula to solve for r:
r^2 = (G * m1 * m2) / F
r = sqrt((G * m1 * m2) / F)
Now we can substitute the given values and calculate the distance:
r = sqrt((6.67 x 10^-11 * 61.3 * 93.5) / (4.9 x 10^-13))
By plugging in these values into a calculator, we find that r is approximately 1.25 meters.
Therefore, the two people are approximately 1.25 meters apart from each other.