Rank the magnitudes of the forces exerted on the followingparticles from the lar

Question

Rank the magnitudes of the forces exerted on the followingparticles from the largest to the smallest. In your ranking,display any cases of equality. Use only '>' or '=' symbols. Ifany elements are equal, show their equality in alphabetic order -for example: a>b=c. (a) An electron moving at 1 Mm/s perpendicularto a 1-mT magnetic field.
(b) An electron moving at 1 Mm/s parallel to a 1-mT magneticfield.
(c) An electron moving at 2 Mm/s perpendicular to a 1-mT magneticfield.
(d) An electron moving at 1 Mm/s perpendicular to a 2-mT magneticfield.
(e) A proton moving at 1 Mm/s perpendicular to a 1-mT magneticfield.
(f) A proton moving at 1 Mm/s at a 45° angle to a 1-mT magneticfield. (a) An electron moving at 1 Mm/s perpendicularto a 1-mT magnetic field.
(b) An electron moving at 1 Mm/s parallel to a 1-mT magneticfield.
(c) An electron moving at 2 Mm/s perpendicular to a 1-mT magneticfield.
(d) An electron moving at 1 Mm/s perpendicular to a 2-mT magneticfield.
(e) A proton moving at 1 Mm/s perpendicular to a 1-mT magneticfield.
(f) A proton moving at 1 Mm/s at a 45° angle to a 1-mT magneticfield.

Explanation / Answer

The force is     charge * velocity * mag field *sin        where is the angle between v and B. . All of the options have the same amount of charge. . c and d have a product of 2   forvelocity and mag field, while sin is 1 . a and e have a product of1               while sin is 1 . f   has a product of   1   times sin45 . b is zero because it is parallel to thefield,    sin0 = 0 the ranking is... . c =d  > a = e  >   f >b

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