The gravitational force of attraction between two students sitting at their desks in physics class is 2.35 ✕ 10-8 N. If one student has a mass of 46.2 kg and the other student has a mass of 62.6 kg, how far apart are the students sitting?

Nevermind I got it!

2.5 To find the distance between the two students sitting at their desks, we can use Newton's Law of Universal Gravitation, which 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 them.

The formula for gravitational force is:

F = (G * m1 * m2) / d^2

Where:
F is the gravitational force,
G is the gravitational constant (approximately 6.67430 × 10-11 N m^2 / kg^2),
m1 and m2 are the masses of the two students, and
d is the distance between them.

In this case, we have the gravitational force (F = 2.35 × 10^-8 N), the mass of the first student (m1 = 46.2 kg), and the mass of the second student (m2 = 62.6 kg). We need to find the distance between the two students (d).

Rearranging the equation, we get:

d = √((G * m1 * m2) / F)

Substituting the known values:

d = √((6.67430 × 10^-11 N m^2 / kg^2 * 46.2 kg * 62.6 kg) / (2.35 × 10^-8 N))

Calculating this using a calculator, we get:

d ≈ 6.23 meters (rounded to two decimal places)

Therefore, the students are sitting approximately 6.23 meters apart.