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Speed and Energy (Someone check my work please)

  1. Feb 20, 2016 #1
    1. The problem statement, all variables and given/known data
    A proton (mass m = 1.67e-27 kg) is being accelerated along a straight line at 2.4e15 m/s2 in a machine. The proton has an initial speed of 2.4e7 m/s and travels 3.1 cm.

    (a) What is its speed?

    (b) What is the increase in its kinetic energy?

    2. Relevant equations
    V^2 = Vo^2+2ad
    KE = 0.5m(Vavg)^2
    KE = 0.5m(Vf^2-Vi^2)
    3. The attempt at a solution
    (a) V^2 = 2.4e7 + 2(2.4e15)(.031)
    V^2 = 7.248e14
    V = 2.69221e7

    (b) KE = 0.5(1.67e-27)((2.69221e7)^2-(2.4e7)^2)
    KE = 1.24248e-13
     
  2. jcsd
  3. Feb 20, 2016 #2

    gneill

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    Staff: Mentor

    Your calculations look fine, but you've left off units and specified too many significant figures in the results.
     
  4. Feb 20, 2016 #3
    So for (a) 2.7e7 m/s and for (b) 1.2e-13 J?
     
  5. Feb 20, 2016 #4

    gneill

    User Avatar

    Staff: Mentor

    Yes.
     
  6. Feb 20, 2016 #5
    ok thx
     
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