Tension - two objects and a string

[phish]

Homework Statement

An object 1 of mass 5 kg is attached to object 2 of mass 7 kg with a string. The 5 kg object is pulled up with a 67 N force - what is the tension in the string.

Homework Equations

F= ma

The Attempt at a Solution

Since object 1 has an external force of 67 N acting upon it, that force should be subtracted by the weight of object 1: (5)(9.8) = 49 N
67 - 49 = 18 N

Object 2 just has its weight force acting upon it: (7)(9.8) = 68.6 N

I've calculated the forces acting on the objects - but I'm not sure how to calculate tension from here.

 

[rl.bhat]

Find the acceleration of m1 and m2 due to applied force.
What is the net force acting on m2?
What is its equate it to the combined acceleration to find T.

 

[tomcue]

To calculate the tension in the string, we can use Newton's second law, F=ma, where F is the net force acting on the object and m is the mass of the object. In this case, the net force acting on object 1 is the external force of 67 N minus its weight of 49 N, resulting in a net force of 18 N. Therefore, the tension in the string is 18 N. Similarly, the net force acting on object 2 is its weight of 68.6 N, so the tension in the string is also 68.6 N. It is important to note that the tension in the string is the same on both sides, as the string is in equilibrium.