what is the tension in the connecting string ?

Question

A 9 kg mass on a frictionless incline surface is connected to a 2.6 kg mass. the pully is massless and frictionless, and the connecting string is massless and does not stretch. the 2.6 kg mass is acted upon by an upward force of 4.1 N and thus has a downward acceleration of only 5.7 m/s/s. the acceleration og gravity is 9.8 m/s/s.

Answer 1

This can be solved by looking at a FBD of the 2.6 kg mass

The forces acting on the mass are
gravity (downward)
-2.6*9.8 N

the upward force 4.1 N

and the tension T

summing the forces
4.1+T-2.6*9.8= -2.6*5.7
T=2.6*(9.8-5.7)-4.1
T=6.56 N

j