Please show all work and explain 6. Value. points 10.00 Question Assistance In a

Question

Please show all work and explain 6. Value. points 10.00 Question Assistance In a certain area, the electric field near the surface of the Earth is given by Check My Work E 150. NICO2, and the Earth's magnetic field is given by B (50.0 HT FN-20.0 where is a unit vector pointing vertically upward, and View Question r is a horizontal unit vector pointing due north. What velocity, v will allow an electron Show Me Guided Solution in this region to move in a straight line at constant speed? Practice This Quest Part 1 out of 2 Print In order for this to happen. E. B must equal f Report a Problem next

Explanation / Answer

Fb= e(v x B) = (1.6*10^-6)[(v) x ((50.0*10^-6)I –(20.0*10^-6)j) ]

Fe= eE= (-1.6*10^-6)(-150.0 j)

When electron moves in the straight line

Fe= Eb

(1.6*10^-6)(-150.0 j) = (-1.6*10^-6)[(v) x ((50.0*10^-6)i –(20.0*10^-6)j) ]

(2.4*10^-7) j = [(vx k + vy j) x ((-8.0*10^-11)i +(3.2*10^-11)j)]

(2.4*10^-7) j = [(vx k) x (-8.0*10^-11)i ]

vx = (2.4*10^-7)/(8.0*10^-11) = 3000 = 3*10^3 m/s k

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