Please explain in detail tomake it clear, show all steps so I can understand how
ID: 1755375 • Letter: P
Question
Please explain in detail tomake it clear, show all steps so I can understand how to solve,thanks!A particle of mass6.3 g, andcharge 20.1 mCmoves in a region of space where the electric field is uniform andis given by Ex = 6.8N/C,Ey = 0, andEz = 0. If thevelocity of the particle at t= 0 is given by vx0 = 178m/s,vy0 = 0, and vz0= 0, what is the speed |v| of the particle at2.46 s?Answer in units of m/s. Please explain in detail tomake it clear, show all steps so I can understand how to solve,thanks!
A particle of mass6.3 g, andcharge 20.1 mCmoves in a region of space where the electric field is uniform andis given by Ex = 6.8N/C,Ey = 0, andEz = 0. If thevelocity of the particle at t= 0 is given by vx0 = 178m/s,vy0 = 0, and vz0= 0, what is the speed |v| of the particle at2.46 s?Answer in units of m/s.
Explanation / Answer
Given that the mass ofparticle is m = 6.3g = 6.3*10-3 kg Charge is q = 20.1mC =20.1 *10-3 C The electric field is E =( -6.8 N/C)i + 0 j+ 0 k The initial velocityof particle is Vi = (178 m/s )i + 0 j + 0 k Time taken is t = 2.46s -------------------------------------------------------------------------- Theaccelaration of the particle is a = F /m =E*q / m = ( -6.8N/C)*(20.1 *10-3 C) i / (6.3*10-3kg) + 0 j+ 0 k =( -21.7 m/s2) i + 0 j+ 0 k Fromthe equation of motion the final velocity is Vf = Vi +a*t =(178 m/s )i + 0 j + 0 k + [( -21.7 m/s2)i + 0 j + 0 k]*2.46s = (178m/s )i + 0 j + 0 k + ( -53.37 m/s) i +0 j + 0 k = (124.63 m/s) i + 0 j + 0 kRelated Questions
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