A particle with charge -2.00 C initially moves at v = 1.00i +7.00j m/s. If it en

Question

A particle with charge -2.00 C initially moves at v = 1.00i +7.00j m/s. If it encounters a magnetic field B = 60.0 k T, find the force on theparticle.
A) -1080 i ^ - 720 j ^ N B) 1080 i ^ - 720 j ^ N C) 1080 i ^ + 720 j ^ N D) -1080 i ^ + 720 j ^ N
A particle with charge -2.00 C initially moves at v = 1.00i +7.00j m/s. If it encounters a magnetic field B = 60.0 k T, find the force on theparticle.
A) -1080 i ^ - 720 j ^ N B) 1080 i ^ - 720 j ^ N C) 1080 i ^ + 720 j ^ N D) -1080 i ^ + 720 j ^ N
A) -1080 i ^ - 720 j ^ N B) 1080 i ^ - 720 j ^ N C) 1080 i ^ + 720 j ^ N D) -1080 i ^ + 720 j ^ N

Explanation / Answer

charge q = -2 C speed v = 1 i + 7 j Magnetic field B = 360 k T Force on particle F = q ( v X B )                               = -2 [ ( 1 * 60 ) (i X k ) + ( 7 * 60 ) ( j X k ) ]                                = -2 [ -60 j + 420 i ]                                = 120 j -840 i                                = -840 i + 120 j

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