A particle(mass= 6 mg) moves with a speed of 4.0 km/s in adirection that makes a

Question

A particle(mass= 6 mg) moves with a speed of 4.0 km/s in adirection that makes an angle of 37* above the positive x axis inthe xy plane. At the instant it enters a magnetic field of (5.0i)mT it experiences an acceleration of (8.0k) m/s^2. What is thecharge of the particle?    I know it is -4C but I cant figure out to how to getthat. A particle(mass= 6 mg) moves with a speed of 4.0 km/s in adirection that makes an angle of 37* above the positive x axis inthe xy plane. At the instant it enters a magnetic field of (5.0i)mT it experiences an acceleration of (8.0k) m/s^2. What is thecharge of the particle?    I know it is -4C but I cant figure out to how to getthat.

Explanation / Answer

.    Mass, m = 6 mg = 6 X 10-6 kg .     Angle, = 37o .      Magnetic field, B= 5 mT = 5 X 10 -3 T .       Acceleration, a = 8m/s^2 .        Velocity,V = 4 X 10 3 m/s .       Acceleration, a = F / m .                             a= B q V sin / m .        Charge, q = a m / ( B V sin ) .                        = 8 * 6 X 10 -6 / ( 5 X 10 -3 * 4 X 103 * sin 37 ) .                        = 4 C .          From the righthand rule, it is clear that the nature of charge isnegative. .          Hence charge,q = - 4 C . .

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