Question

A proton travels with a speed of $3.0 \times 10^{6} \mathrm{m} / \mathrm{s}$ at an angle of $37^{\circ}$ west of north. A magnetic field of $0.30 \mathrm{T}$ points to the north. Determine the following a. the magnitude of the magnetic force on the proton b. the direction of the magnetic force on the proton c. the proton's acceleration as it moves through the magnetic field (Hint: The magnetic force experienced by the pro. ton in the magnetic field is proportional to the component of the proton's velocity that is perpendicular to the magnetic field.

          A proton travels with a speed of $3.0 \times 10^{6} \mathrm{m} / \mathrm{s}$ at an angle of $37^{\circ}$ west of north. A magnetic field of
$0.30 \mathrm{T}$ points to the north. Determine the following
a. the magnitude of the magnetic force on the proton
b. the direction of the magnetic force on the proton
c. the proton's acceleration as it moves through the magnetic field
(Hint: The magnetic force experienced by the pro. ton in the magnetic field is proportional to the component of the proton's velocity that is perpendicular to the magnetic field.

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Added by Emily P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

07/30/2022

Step 1

Given: Charge of proton, q = $1.6 \times 10^{-19}$ C Velocity of proton, v = $3.0 \times 10^{6}$ m/s Magnetic field, B = 0.30 T Angle, $\theta$ = 37° The magnetic force on the proton can be calculated using the formula: $F_{B} = qvB\sin(\theta)$ Substitute the Show more…

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A proton travels with a speed of $3.0 \times 10^{6} \mathrm{m} / \mathrm{s}$ at an angle of $37^{\circ}$ west of north. A magnetic field of $0.30 \mathrm{T}$ points to the north. Determine the following a. the magnitude of the magnetic force on the proton b. the direction of the magnetic force on the proton c. the proton's acceleration as it moves through the magnetic field (Hint: The magnetic force experienced by the pro. ton in the magnetic field is proportional to the component of the proton's velocity that is perpendicular to the magnetic field.

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