Magnetic Force Between Two Balls - Leetcode Solution

Problem Statement:

Given two steel balls, each with a diameter of d and a mass of m, and a distance of r between their centers, find the magnetic force between them. Assume that the magnetic force is given by the formula:

F = k * (m ** 2) / (d ** 4) * r

where k is a constant and m is the mass of the balls, d is the diameter of the balls, and r is the distance between their centers.

Solution:

To solve this problem, we just need to apply the given formula of magnetic force between two balls. We will first calculate the constant k using the given values of magnetic field strength and permeability.

k = (4 * pi * 10 ** -7) * (3000 ** 2)

Next, we will calculate the mass of each ball using the given density and diameter.

m = (4/3) * pi * ((d/2) ** 3) * rho

where rho is the density of the steel balls.

Now, we can simply plug in the calculated values of k and m into the given formula to find the magnetic force between the two balls.

F = k * (m ** 2) / (d ** 4) * r

Output:

The output should be a float value representing the magnetic force between the two balls.

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