A particle with a charge of 34 mu C moves with a speed of 73 m/s in the positive

Question

A particle with a charge of 34 mu C moves with a speed of 73 m/s in the positive (x) direction. The magnetic field in this region of space has a component of 0.42 T in the positive (y) direction, and a component of 0.86 T in the positive (z) direction.

Part A

What is the magnitude of the magnetic force on the particle? (mN)

Express your answer using two significant figures.

Part B

What is the direction of the magnetic force on the particle? (Find the angle measured from the positive (z)-axis toward the negative (y)-axis in the (yz)-plane.)

Express your answer using two significant figures. (^circ)

Explanation / Answer

A) F = 34 x 10-6 x 73 x 0.42 k + 34 x 10-6 x 73 x 0.86 j

= 1.042 x 10-3 k + 2.134 x 10-3j

magnitude = sqrt(k^2 + j^2) =2.375 x 10-3 N = 2.375 mN

b) direction = tan-1(j/k) = 63.97 degrees

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