1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Shopping Cart on an Incline

  1. Nov 23, 2008 #1
    A shopper pushes a 7.5kg shopping cart up a 13 degree incline.

    I need to find the force required to give the cart an acceleration of 1.41m\s\s up the incline.

    ive tried breaking the weight, force and acceleration into components but i just end up getting more confused....any help on this would be great, thanks for your time.
  2. jcsd
  3. Nov 23, 2008 #2

    If it was on level ground and you wanted it to go at 1.4ms-2, the force needed would be just 7.5*1.4=10.5N

    Now because it's on an incline you have to add in that component also. This diagram should explain it:

    http://instruct.tri-c.edu/fgram/web/Image86.gif [Broken]

    You need to counteract the mgsin0 by supplying that force in the opposite direction - up the slope.

    So that is 7.5*9.8*Sin13 = 16.53N

    Add the two together and you get 27.03N

    Last edited by a moderator: May 3, 2017
  4. Nov 23, 2008 #3
    Wow, now i understand! thanks so much for your help!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook