Answer:
The magnitude of the Force is and the direction is South
Explanation:
From the question we are told that
The magnetic field point due west and since East point toward the positive x -axis then this magnetic field would be mathematically represented as
Now from the question we are told that the kinetic energy is
Now this kinetic energy can be mathematically represented as
Where m is the mass of proton which has a general value of
Now making the subject of the formula
Substituting values we have
Now from the question we are told that proton is moving upward which is in the positive z direction so the velocity of the proton would be in the positive
So the velocity would be
Now the magnetic Force can be mathematically represented as
Where q is the charge on the proton which has a general value of
Now substituting the value
Now according to Fleming's left hand rule the direction of the magnetic force is south toward the negative Y - direction
So the force can be denoted as