At t = 0 a very small object with mass 0.685 m g and charge +9.00 ? C is traveli

Question

At t = 0 a very small object with mass 0.685mg  and charge +9.00 ?C is traveling at 125 m/s through the origin in the -x-direction. The charge is moving in a uniform electric field that is in the +y-direction and that has magnitude E = 895 N/C. The gravitational force on the particle can be neglected. Part A How far is the particle from the origin at t = 7.00 ms? At t = 0 a very small object with mass 0.685mg  and charge +9.00 ?C is traveling at 125 m/s through the origin in the -x-direction. The charge is moving in a uniform electric field that is in the +y-direction and that has magnitude E = 895 N/C. The gravitational force on the particle can be neglected. At t = 0 a very small object with mass 0.685mg  and charge +9.00 ?C is traveling at 125 m/s through the origin in the -x-direction. The charge is moving in a uniform electric field that is in the +y-direction and that has magnitude E = 895 N/C. The gravitational force on the particle can be neglected. At t = 0 a very small object with mass 0.685mg  and charge +9.00 ?C is traveling at 125 m/s through the origin in the -x-direction. The charge is moving in a uniform electric field that is in the +y-direction and that has magnitude E = 895 N/C. The gravitational force on the particle can be neglected. At t = 0 a very small object with mass 0.685mg  and charge +9.00 ?C is traveling at 125 m/s through the origin in the -x-direction. The charge is moving in a uniform electric field that is in the +y-direction and that has magnitude E = 895 N/C. The gravitational force on the particle can be neglected. Part A How far is the particle from the origin at t = 7.00 ms? Part A How far is the particle from the origin at t = 7.00 ms? Part A How far is the particle from the origin at t = 7.00 ms? Part A How far is the particle from the origin at t = 7.00 ms? Part A How far is the particle from the origin at t = 7.00 ms? Part A How far is the particle from the origin at t = 7.00 ms? At t = 0 a very small object with mass 0.685mg  and charge +9.00 ?C is traveling at 125 m/s through the origin in the -x-direction. The charge is moving in a uniform electric field that is in the +y-direction and that has magnitude E = 895 N/C. The gravitational force on the particle can be neglected. Part A How far is the particle from the origin at t = 7.00 ms?

Explanation / Answer

in x direction

x = v0 t = 125 * 7.0E-3 = 0.875 m

in y direction

a = q E/m = 9.0E-6*895/0.685E-6=11759

y = 1/2 a t^2 = 0.5*11759*7.0E-3^2=0.288

distance = sqrt(0.875^2 + 0.288^2)=0.921 m

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