Two protons are moving up when they enter a magnetic field that points towards you. what happens to the motion of the particles?

The motion of the given particles towards right.

Explanation:

In the given problem, two protons are moving up when they enter a magnetic field that points towards you. The force exerts on a moving charge in a magnetic field. This force is Lorentz force.

Lorentz force will act on the two protons. Force will be perpendicular to the directions of the velocity and magnetic field. The force will be maximum when the magnetic field and the velocity of the charge are in perpendicular direction.

The expression for Lorentz force is as follows;

Here, q is the charge, v is the velocity and B is the magnetic field.

The cross product gives the direction of the proton. It can be determined by the right hand rule. The right hand rule states that the thumb points in the direction of the motion of the charges, forefinger points in the direction of field and the middle finger points in the direction of the force.

Therefore, the protons move towards the right.