Final answer:
To calculate the distance between two asteroids, we can use Newton's law of universal gravitation. By rearranging the equation and substituting the given values, we find that the distance between the asteroids is approximately 2.11 × 10^8 meters.
Step-by-step explanation:
Using Newton's law of universal gravitation, we can calculate the distance between two asteroids based on their masses and the strength of the gravitational force between them.
The equation for calculating the gravitational force is:
F = G * (m1 * m2) / r^2
Where F is the gravitational force, G is the gravitational constant (approximately 6.674 × 10^-11 N.m^2/kg^2), m1 and m2 are the masses of the asteroids, and r is the distance between them.
In this case, we have the mass of each asteroid (1.41 * 10^14 kg) and the gravitational force (1030 N), so we can rearrange the equation to solve for r:
r = sqrt((G * (m1 * m2)) / F)
Substituting the values into the equation:
r = sqrt((6.674 × 10^-11 N.m^2/kg^2 * (1.41 * 10^14 kg * 1.41 * 10^14 kg)) / 1030 N)
Simplifying the calculation gives us a distance of approximately 2.11 × 10^8 meters between the asteroids.