Please show me how to get the correct answer which was 16.59 Thank you! A charge

Question

Please show me how to get the correct answer which was 16.59

Thank you!

A charge of +3.4 micro-coulombs has an x component of velocity of -111 m/s and y component of +61 m/s. It is moving at a point where the magnetic field is 0.08 Tesla in the negative x direction. What is the magnetic force on this charge in micro-Newtons? Indicate the negative z direction by including a negative sign in your answer, but omit a sign for the positive z direction.

Hint: think of the amount and the direction of the magnetic force on the charge if the velocity was just in the x direction only. Then do the same if the velocity was in the y direction only. Use these two results to find the answer.

A charge of +3.4 micro-coulombs has an x component of velocity of -111 m/s and y component of +61 m/s. It is moving at a point where the magnetic field is 0.08 Tesla in the negative x direction. What is the magnetic force on this charge in micro-Newtons? Indicate the negative z direction by including a negative sign in your answer, but omit a sign for the positive z direction.

Hint: think of the amount and the direction of the magnetic force on the charge if the velocity was just in the x direction only. Then do the same if the velocity was in the y direction only. Use these two results to find the answer.

[None Given]

16.59 ± 10%

Explanation / Answer

q = 3.4 uC, v = -111 i+61 j, B = -0.08 i

Magnetic force F =q(vxB)

F = (3.4*10^-6)((-111i+61j)x(-0.08i))

F = 16.592 uN along positive z direction

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