How Does Magnetic Force Affect an Ion Moving Along the Line x=y?

[triplezero24]

Ok, an ion experiences a magnetic force of 6.2X10^-16 N when moving in the positive x direction, but no force when moving in the positive y direction. What is the magnitude of magnetic force exerted on the ion when it moves in the x-y plane along the line x=y? Assume the ions speed is the same in all cases.

I know that for this problem F=qvB sin theta. Because the ion travels on the line x=y, then the theta angle is 45. Other than that I have no clue.

Thanks again for any help.

 

[StatusX]

break it up into an x component and a y component velocity and find the force for each.

 

[triplezero24]

It says the speed is the same in all cases.

 

[vincentchan]

It says the speed is the same in all cases.

so what?
break it up into an x component and a y component velocity and find the force for each.
for sure v_x and v_y is not equal to v... but can you find v_x and v_y in term of v using the P******* theorem? (really have no idea how to spell that word)

 

[Davorak]

It says the speed is the same in all cases.

StatusX means use vector notion instead of F=qvB sin theta.

$$F= q \vec{v} \times \vec{B} =( v_y B_z - v_z B_y )\hat{x} + (v_z B_x - v_x B_z )\hat{y} + (v_x B_y - v_y B_x)\hat{z}$$

Some terms will be zero though if $$\vec{B}$$ is perendicular to $$\vec{v}$$

 

[Doc Al]

Ok, an ion experiences a magnetic force of 6.2X10^-16 N when moving in the positive x direction, but no force when moving in the positive y direction.

This should tell you two things:
(1) The direction of the magnetic field (B)
(2) The value of qvB (apply $F = qvB sin \theta$, where $\theta$ is the angle between v and B)

What is the magnitude of magnetic force exerted on the ion when it moves in the x-y plane along the line x=y? Assume the ions speed is the same in all cases.

Once you've figured out (1) and (2), all you need to find your answer is to again apply $F = qvB sin \theta$ with this new angle. What angle does the ion velocity make with the B field when it travels the line x=y?