The force, F, between two magnets is inversely proportional to the square of the distance, x, between them. When x=3, F=4 Find an expression for F in terms of X
Inversely proportional means: F ~ 1/x^2 x is the distance in meters (m). F is the force in Newton (N). Futhermore F = m*a (1N = kg*m/s^2)
1/m² is not equal to kg*m/s², so we have to add a const. value named n (as desired) with the unit kg*m^3/s^2. Remember 1T = 1kg/(As^2) => kg*m^3/s^2 = T*m^3*A
So we have an equation like: F = n/x^2 with n = B*I*x^3 => F = B*I*x (have a look at the magnetic flux density) In your case n would be 36Tm^3A
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