A particle with charge ? 5.30 nC is moving in a uniform magnetic field B? =?( 1.
ID: 1442464 • Letter: A
Question
A particle with charge ? 5.30 nC is moving in a uniform magnetic field B? =?( 1.25 T )k^. The magnetic force on the particle is measured to be F? =?( 4.00×10?7 N )i^+( 7.60×10?7 N )j^.
Part B Item 3 Calculate the x-component of the velocity of the particle A particle with charge-5.30 nC is moving ina uniform magnetic field B1.25 T )k. The magnetic force on the particle is measured to be F =-(400-10-7 N )i + ( 7.60x10-7 N )j m/s Submit My Answers Give Up Part C Calculate the y-component of the velocity of the particle m/s Submit My Answers Give Up Part D Calculate the scalar product u·F m/s N Submit My Answers Give Up Part E What is the angle between v and F? Give your answer in degreesExplanation / Answer
F = q(v x B) = qBz[vx(i*k) + vy(j*k)+ vz(k*k)] = qBz[vx(-j) + vy(i)]
part a )
vx = Fy/-qBz = (7.6 x 10^-7)/-(-5.3 x 10^-9 * -1.25) = -114.72 m/s
part b )
vy = Fx/qBz = (-4 x 10^-7) / (-5.3 x 10^-9 * -1.25) = -60.377 m/s
part c )
v.F = vxFx + vyFy + vzFz
vz does not contribute to the force = vz = 0
v.F = Fy*Fx/-qBz + Fx*Fy/qbz = 0
part d )
v.F = vFcostheta
costheta = 0
theta = 90 degree
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