A 5.00-kg object placed on a frictionless, horizontal table is connected to a cable that passes over a pulley and then is fastened to a hanging 9.00-kg object. Draw free-body diagrams of both objects. Find the acceleration of the two objects and the tension in the string.

Answer 1

Tension on string = 5 a
for 5 kg object.

9 g - Tension on string = 9 a
for 9 kg object

a is the same in both equations unless the string breaks.
Tension of spring is the same in both equations
Solve the two equations for T and a

Answer 2

6.3

Answer 3

a=(m2-m1/m2+m1) g
Acceleration is 2.8 m/s2
T=(2m2m1/m2+m1)g
Tension is 63