Final answer:
The force a magnet exerts is known as a magnetic force. The direction of the magnetic field produced by a current moving upward in a wire is counterclockwise in the horizontal plane, as determined by the right-hand rule.
Step-by-step explanation:
The force that a magnet exerts on another magnet, on iron, a similar metal, or on moving charges is known as a magnetic force. This force is not proportional to the charge or mass of the magnet since magnets do not have charge and their force is not a function of their mass. Instead, magnetic forces are caused by magnetic fields, which result from the movement of electrical charges, such as the electric current in a wire.
Regarding the direction of the magnetic field produced by a current in a wire directed upward, according to the right-hand rule (RHR-1), you point your thumb in the direction of the current and curl your fingers. Your fingers would then curl counterclockwise in the horizontal plane, indicating the direction of the magnetic field around the wire is counterclockwise.