1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Variable Force

  1. Oct 31, 2007 #1
    1. The problem statement, all variables and given/known data

    A particle of mass m has initial conditions x_0 = 0 m and v_0 > 0 m/s. The particle experiences the variable force F_x = F_0 sin (cx) as it moves to the right along the x-axis, where F_0 and c are constants.

    What is the particle's velocity as it reaches x_max? Give your answer in terms of m, v_0, F_0, and c.

    2. Relevant equations


    3. The attempt at a solution

    Divide force by m and integrate? V_0 - (F_0 * c) / m ?
  2. jcsd
  3. Oct 31, 2007 #2


    User Avatar
    Science Advisor
    Homework Helper

    You got the idea, but shouldn't the final answer depend on x_max as well?
    [tex]\int_0^{x_0} \frac{F_0}{m} \sin(c x) = \frac{F_0}{m} \left. -cos(c x)/c \right|_{x = 0}^{x_0} = \frac{F_0}{m c} \left( 1 - \cos(c x_\text{max} \right)[/tex]
    plus v_0, or something like that (check the integration, jotted it down)
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Variable Force
  1. Variable Force (Replies: 2)