A particle with charge -5.00 C initially moves at = (1.00 + 7.00 )m/s.If it encounters a magnetic field find the magnetic force vector on the particle.
A) (-350 + 50.0 ) N
B) (-350 - 50.0 ) N
C) (350 + 50.0 ) N
D) (350 - 50.0 ) N

Question

A particle with charge -5.00 C initially moves at  = (1.00  + 7.00  )m/s.If it encounters a magnetic field  find the magnetic force vector on the particle.
A) (-350 + 50.0 ) N 
B) (-350 - 50.0 ) N 
C) (350 + 50.0 ) N 
D) (350 - 50.0 ) N

Quizplus · Accepted Answer

The magnetic force vector is given by:
F = q(v x B)

where q is the charge, v is the velocity, and B is the magnetic field. In this case, q=-5.00 C, v=(1.00+7.00i) m/s, and B=(-350+50j) m/T. Computing the cross product, we get:
v x B = (7.00*-50)i - (1.00*-350)j = (-350+350)i - 50j

Multiplying by -5.00 C, we get:
F = (-350+350i)*(-5.00) - 50*(-5.00)j = (-350+50i) N

Therefore, the best choice is A, which matches this answer.

A Particle with Charge -5