Final answer:
The magnitude of the magnetic force on the 14 cm long metal rod is 1.036 N.
Step-by-step explanation:
To determine the magnitude of the magnetic force on the rod, we can use the formula F = BILsinθ, where F is the force, B is the magnetic flux density, I is the current, L is the length of the rod, and θ is the angle between the magnetic field and the direction of the current. In this case, the magnetic field is directed vertically down into the ground, so the angle θ is 90 degrees.
Plugging in the values, we have F = (486 g)(28 A)(14 cm)(sin 90°). Converting grams to kilograms and centimeters to meters, we get F = (0.486 kg)(28 A)(0.14 m) = 1.036 N.
Therefore, the magnitude of the magnetic force on the rod is 1.036 N.