Need help with this question.

Question

Two objects mass m₁ = 5.00 kg and mass m₂= 3.00 kg are connected by a light string that passes over a frictionless pulley, as in Figure.  Express your answer using 3 significant figures.

(a) What is the tension in the string?

(b) What is the acceleration of the system? 

Answer 1

Draw two free body diagrams and write the sum of forces equations for each yielding. 5a=5g-T and 3a=T-3g taking care that the directions for positive acceleration are consistent between the two diagrams. Solve to find T= 15g/4 and a=g/4