Complete Question
The complete question is shown on the first uploaded image
Answer:
The force is [tex]\= F = (-0.001089, 0 ,0)[/tex]
Explanation:
From the question we are told that
The magnetic dipole moment of first magnet is [tex]z_1 = (6,0,0) A \cdot m^2[/tex]
The magnetic dipole moment of second magnet is [tex]z_2 = (7,0,0) A \cdot m^2[/tex]
The location of the second magnetic dipole moment is [tex]x = 0.39 \ m[/tex]
Generally the vector force on the second magnet due to the first is mathematically evaluated as
[tex]\= F =- \frac{\mu_o }{4 \pi} * \frac{6 * z_1 * z_2}{x^4}[/tex]
Where [tex]\mu _o[/tex] is the permeability of free space with value [tex]4\pi * 10^{-7} N/A^2[/tex]
substituting values
[tex]\= F = - \frac{ 4\pi * 10^{-7} }{4 \pi} * \frac{6 * 6 * 7}{0.39^4}[/tex]
[tex]\= F = (-0.001089, 0 ,0)[/tex]
Note the negative sign show that the force is an attraction force
