I have a question.

There's a 5.00kg mass on a horizontal, frictionless table, attached by a light string to a 10.00kg mass. The 10kg mass is off of the side of the table, and there is a light pulley that it is suspended by.

I figured that the 10kg mass is going to have a force of 10*9.8=98N downwards, so the acceleration of both the masses, in their obvious directions will be F=ma=98=15*a --> a=6.53m/s^2.

My question is about the tension in the string between the masses. I think that it will be F=ma-->T=ma--> T=5.00kg*6.53m/s^2--> T=32.65N. Am I right about finding the tension?

P.s. I did draw a free body diagram.