- n Figure (a), what is the magnetic force F ? on the proton? Give your answers

Question

- n Figure (a), what is the magnetic force F? on the proton? Give your answers in component form.

(Express vector F? in the form of Fx, Fy, Fz , where the x, y, and z components are separated by commas.)

In Figure (b), what is the magnetic force F? on the proton? Give your answers in component form.

(Express vector F? in the form of Fx, Fy, Fz , where the x, y, and z components are separated by commas.)

A proton moves in the magnetic field B? =0.40i^T with a speed of 1.0 107m/s in the directions shown in the figure. - n Figure (a), what is the magnetic force F? on the proton? Give your answers in component form. (Express vector F? in the form of Fx, Fy, Fz , where the x, y, and z components are separated by commas.) In Figure (b), what is the magnetic force F? on the proton? Give your answers in component form. (Express vector F? in the form of Fx, Fy, Fz , where the x, y, and z components are separated by commas.)

Explanation / Answer

Note that

F = q v x B

Here, q = 1.602E-19, the charge of the proton.

PART A:

v = 1.0E7 m/s, x-z plane, 45 degrees with respect to the x axis.

Thus, in component form,

v = (7.071E6 i^ + 7.071E6 k^)

Here, B = 0.40i^ T

Thus,

F = qv x B

F = 4.53E-13j^ N

or

F = <0, 4.53E-13, 0> N [ANSWER]

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PART B:

Here, v = -1.0E7j^ m/s

Thus,

F = q v x B

F = <0, 0, 6.41E-13> N

DONE! It was nice working with you!

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