Motion on Inclined Plain with Pulley

[magixx]

Homework Statement

Cart is on an inclined plain, attached to the cart is a weightless string going to a pulley attached to another mass. There is no friction.
Cart Weight: 0.5Kg
Mass Weight: 0.1Kg
Plain Angle: 20 Degrees
Diagram: See below

Question: Determine Tension in string and acceleration.

Homework Equations

Fg=ma

The Attempt at a Solution

http://img254.imageshack.us/img254/6286/physji3.jpg

With the two equations I then made them both equal 5a and then used elimination, I got T=0.6582N and a=3.21m/s.
I kinda doubt this is the right answer.

 

[LowlyPion]

Homework Statement

Cart is on an inclined plain, attached to the cart is a weightless string going to a pulley attached to another mass. There is no friction.
Cart Weight: 0.5Kg
Mass Weight: 0.1Kg
Plain Angle: 20 Degrees
Diagram: See below

Question: Determine Tension in string and acceleration.

Homework Equations

Fg=ma

With the two equations I then made them both equal 5a and then used elimination, I got T=0.6582N and a=3.21m/s.
I kinda doubt this is the right answer.

Welcome to PF.

I think you need to be consistent in how you assign signs between the two equations.

The force on your weight should be more properly given by .1a = T - .98