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Finding work and velocity through acceleration

  1. Oct 3, 2013 #1
    1. The problem statement, all variables and given/known data
    Figure 7-39 gives the acceleration of a 1.95 kg particle as it is moved from rest along an x axis by an applied force Fa, from x = 0 to x = 9 m.

    Fig. 7-39 : http://www.webassign.net/hrw/W0128-N.jpg

    How much work has the force done on the particle when the particle reaches the following points?
    (a) x = 4 m
    (b) x = 7 m
    (c) x = 9 m

    What is the particle's speed and direction of travel when it reaches each of the following points?
    (a) x = 4 m
    (b) x = 7 m
    (c) x = 9 m


    2. Relevant equations
    F=ma
    W=integral (F dot dx)


    3. The attempt at a solution
    I tried taking the area of the acceleration vs. x graph and timed it by m, which would give me the acceleration of the F vs. x graph, which should be equal to work, but it was incorrect.
    I did not know how to find work for the specific position.
     
  2. jcsd
  3. Oct 4, 2013 #2

    Simon Bridge

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    You mean "multiplied it" don't you? "Timed" has a different meaning.

    the mass?

    Please show your working and how you know it is wrong.
     
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