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Homework Help: Electric field accelerated proton

  1. Sep 26, 2010 #1
    1. The problem statement, all variables and given/known data

    The electric field at a point in space is E= (200i+ 900j)N/C .
    What is the magnitude of the proton's acceleration?


    2. Relevant equations

    a = F [tex]_{on q}[/tex] / m = (q/m) E


    3. The attempt at a solution

    I determined earlier that the x-component of the electric force on a proton was Fx = 3.20×10−17 N
    Then
    I found that the y-component of the electric force on a proton is Fy = 1.44×10−16 N
    I know both of these are correct So
    I added Fx and Fy together getting 1.76*10^-16
    then I divided this net force by the mass of a proton: 1.67x10^-27 kg as the formula above suggest and got 1.05*10^11 as my answer.....it's wrong but I have no idea wrong. Please help
     
    Last edited by a moderator: Sep 26, 2010
  2. jcsd
  3. Sep 26, 2010 #2

    Astronuc

    User Avatar
    Staff Emeritus
    Science Advisor

    The electric field strength and force are vectors. One does not simply add the magnitudes of the components of a vector to obtain the magnitude of the vector.

    http://hyperphysics.phy-astr.gsu.edu/hbase/vect.html#vec4
     
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