I know this is a relatively simple problem, but I missed most of class when we were discussing this stuff. So if someone could start me off on the right foot, I'm sure I'll be able to figure it out.

What I tried so far was drawing a free-body diagram then making net force equations for the X and Y directions--but I haven't had any luck doing that. I must be missing something? Either that or I'm going about this completely the wrong way.

A timely reply is appreciated--I have class in about an hour.

Constant velocity suggests that there's no net force. Find the magnitude of the applied force such that this condition is met. You'll have to separate the forces into x and y components, but just remember that the normal force will adjust itself to cancel any force going into the ground. This means you'll really only need to consider the x direction.

b)w(friction) should be force of friction*displacement..since the angle is zero
c) work done by gravity is zero because there is no up or down movement of the cart
a) F(applied)=mgcos(theta)
d) w=F(applied)*d