2. Consider an alpha particle with a charge of +2e. It travels in the -â direction, with a currently unknown ŷ component. It moves with a speed of |ū| = 8.7 × 106 m/s. It is travelling in a uniform magnetic field of magnitude |B| = 2.2 T pointing in the +ŷ direction. Due to the magnetic field, the alpha particle feels a force with magnitude |F| = 3.7 × 10-12 N. Take -ê to be into the page. (a) Using the right hand rule, in what direction is the force pointing? (b) Were the particle an electron, in which direction would the force point? (c) Calculate the velocity component perpendicular to the magnetic field. (Note: Which way is the force pointing? Does this affect the sign of the force?)

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2. Consider an alpha particle with a charge of +2e. It travels in the -â
direction, with a currently unknown ŷ component. It moves with a
speed of |ū| = 8.7 × 10® m/s. It is travelling in a uniform magnetic field of
magnitude |B| = 2.2 T pointing in the +ŷ direction. Due to the magnetic
field, the alpha particle feels a force with magnitude |F| = 3.7 × 10-12 N.
Take -ê to be into the page.
(a) Using the right hand rule, in what direction is the force pointing?
(b) Were the particle an electron, in which direction would the force
point?
(c) Calculate the velocity component perpendicular to the magnetic
field. (Note: Which way is the force pointing? Does this affect the
sign of the force?)
(d) Find the parallel component of the velocity (Hint: Think trigonom-
etry... )
(e) You learn that the alpha particle in fact has a velocity component
in the negative ŷ direction. Find the direction, in degrees, that the
particle is travelling in.
Transcribed Image Text:2. Consider an alpha particle with a charge of +2e. It travels in the -â direction, with a currently unknown ŷ component. It moves with a speed of |ū| = 8.7 × 10® m/s. It is travelling in a uniform magnetic field of magnitude |B| = 2.2 T pointing in the +ŷ direction. Due to the magnetic field, the alpha particle feels a force with magnitude |F| = 3.7 × 10-12 N. Take -ê to be into the page. (a) Using the right hand rule, in what direction is the force pointing? (b) Were the particle an electron, in which direction would the force point? (c) Calculate the velocity component perpendicular to the magnetic field. (Note: Which way is the force pointing? Does this affect the sign of the force?) (d) Find the parallel component of the velocity (Hint: Think trigonom- etry... ) (e) You learn that the alpha particle in fact has a velocity component in the negative ŷ direction. Find the direction, in degrees, that the particle is travelling in.
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