According to the work-energy theorem, in the absence of friction, if you do 100J of work on a cart while pushing it across a horizontal surface, how much will you increase its kinetic energy?

Answer 1

Tb, That is your third question on the basics of work, kinetic and potential energy and conservation of mechanical energy. You better read up on the subject. If you do not have a text try google, maybe something like:
https://www.youtube.com/watch?v=w4QFJb9a8vo

Answer 2

Then please post your answer to this question here so I know you get it.