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

ID: 1751797 • Letter: R

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