A proton moves perpendicular to a uniform magnetic field B at a speed of 1.65 x 107 m/s and experiences an acceleration of 2.75 x 10¹3 m/s² in the positive x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of the field.

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Chapter11: Magnetic Forces And Fields
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Problem 104CP: A particle’s path is bent when it passes through a region of non-zero magnetic field although its...
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A proton moves perpendicular to a uniform magnetic field B at a speed of 1.65 x 107 m/s and experiences an acceleration of 2.75 x 1013 m/s² in the positive
x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of the field.
Step 1
By Newton's second law, F F = ma. The magnetic force is the only force accelerating the proton, so we have the following.
F = ma = qvB sin 90°
We have a magnetic force in the +x-direction of
F
= = (1.67 × 10-27 kg)(2.75 ✔
2.75 x 10¹3 m/s²) = 4.5925
4.59 x 10-14 N.
Step 2
Solving for the magnitude of the magnetic field, we have the following.
4.59
F
✓x 10-14 N
B =
10-14 N)
x 107 m/s)
qv
1.60 x 10-19
1.65
x 10-2 T = 0.01738636364
X
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8:25
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Transcribed Image Text:D21 Ebert Just Mercy film review -1B X Just Mercy Seminar - Google Doc X Magnetic Field CW-C55720 HP X + webassign.net/web/Student/Assignment-Responses/last?dep=29325785#Q5 0 A proton moves perpendicular to a uniform magnetic field B at a speed of 1.65 x 107 m/s and experiences an acceleration of 2.75 x 1013 m/s² in the positive x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of the field. Step 1 By Newton's second law, F F = ma. The magnetic force is the only force accelerating the proton, so we have the following. F = ma = qvB sin 90° We have a magnetic force in the +x-direction of F = = (1.67 × 10-27 kg)(2.75 ✔ 2.75 x 10¹3 m/s²) = 4.5925 4.59 x 10-14 N. Step 2 Solving for the magnitude of the magnetic field, we have the following. 4.59 F ✓x 10-14 N B = 10-14 N) x 107 m/s) qv 1.60 x 10-19 1.65 x 10-2 T = 0.01738636364 X Your response is off by a multiple of ten. mT 8:25 O Submit Skip (you cannot come back) O Sign out LOX ⠀ 1 INTL
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