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!

How to find the acceleration of 2 objects under same force

  1. Oct 16, 2007 #1

    ~christina~

    User Avatar
    Gold Member

    1. The problem statement, all variables and given/known data
    A force F to an object m1 produces an acceleration of 3m/s^2. The same force is applied to a second object of mass m2 produces an acceleration of 1.00m/s^2

    a.) value ratio of m1/m2

    b.) If m1 and m2 are combined into 1 object, what is the acceleration under the action of force [tex]\vec{} F [/tex]?

    2. Relevant equations
    F=ma


    3. The attempt at a solution

    a.) m1/m2= a2/a1

    m1/m2= 1.00m/s^2/ 3.00m/s^2


    b.) for b I'm not sure what they mean by combine the masses but m1 + m2 = ?

    I'm not sure if I can just combine the accelerations since they are vector quantities but mass is scalar so it can be combined...


    I need help with part b.

    Thanks :smile:
     
  2. jcsd
  3. Oct 16, 2007 #2
    For part a, don't forget that the units cancel out.
    For part b, solve for m1 and m2 in terms of F. Then you put (m1+m2) in terms of F, which you plug back into F=ma, then solve for a.
     
  4. Oct 16, 2007 #3

    ~christina~

    User Avatar
    Gold Member

    well for part
    a) m1/m2= .333

    b) F= m1(3.00m/s^2)
    m1= F/(3.00m/s^2)
    F= m2(1.00m/s^2)
    m2= F/(1.00m/s^2)

    m1 + m2= F/(3.00m/s^2) + F/ (1.00m/s^2) = F/(3.00m/s^2) + 3F/(3.00m/s^2) = 4F/(3.00m/s^2)

    then if I did that right..I plug that into F=ma...

    F=ma
    F= 4F/3.00m/s^2 * a

    3.00m/s^2(F)= 4F*a
    a= (3.00m/s^2)(F)/4F

    Is this fine??
     
  5. Oct 16, 2007 #4
    The F's cancel, and its neater if you write 3/4 m/s^2, imo. But yes, that's right
     
  6. Oct 16, 2007 #5

    ~christina~

    User Avatar
    Gold Member

    Oh..okay..Thank You =D
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: How to find the acceleration of 2 objects under same force
Loading...