A particle with charge 1.0 C moving at v = 3.0i m/senters a magnetic field B = 1

Question

A particle with charge 1.0 C moving at v = 3.0i m/senters a magnetic field B = 19.0j T and an electric field E = 23k N/C. Find the acceleration of theparticle if its mass is 0.00400 kg. A) 20,000 k ^ m/s2 B) 5750 j ^ + 14,250 k ^ m/s2 C) 8500 k ^ m/s2 D) -5750 j ^ + 14,250 k ^ m/s2 A particle with charge 1.0 C moving at v = 3.0i m/senters a magnetic field B = 19.0j T and an electric field E = 23k N/C. Find the acceleration of theparticle if its mass is 0.00400 kg. A) 20,000 k ^ m/s2 B) 5750 j ^ + 14,250 k ^ m/s2 C) 8500 k ^ m/s2 D) -5750 j ^ + 14,250 k ^ m/s2 B) 5750 j ^ + 14,250 k ^ m/s2 C) 8500 k ^ m/s2 D) -5750 j ^ + 14,250 k ^ m/s2

Explanation / Answer

charge q = 1 C magnetic field B = 19 j T electric field E = 23 k N / C mass m = 0.004 kg velocity v = 3 i m / s Force F = q [ E + ( v X B ) ]              = 1 [ 23 k + ( 3 i X 19 j ) ]               = [ 23 k + 57 k ]               =80 k N Accleration a = F / m                       =20000 k m / s^2

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