How much weight can a 2x4 wall support?
From this LINK
The 2x4 wall can handle around 1000 pounds vertically. But you put the limit to the test meaning you are probably breaking the wall before reaching 1000 pounds.
Use a joint or two, a stud wall helps, or doubling the layer could help, anything to reinforce the wall if the main concerns are the wall breaking out because abused by children.
And this question can be found in the discussion here :
DIYchatroom.com