Really Hard Physics Question

Question

Two boxes of masses m1 and m2 are descending vertically at a constant acceleration a =g/11; they are attached by a string of negligible mass and the upper box is attached to a second string. What is the tension in the string that runs between the lower box of mass m2 and the upper box of mass m1 in this situation?

Choose one of the options.

1. m2*g

2. (m2*g)*(10/11)

3. 11*m2*g

4. (1/11)*(m1+m2)*g

5. (1/11)*m2*g

6. (2/11)*m2*g

7. The system is falling and each mass has an acceleration of g/11, so the tension in the string joining the masses must be zero.

8. (m1+m2)*g since the string supports both masses

9. (9/11)*m2*g

 

Answer 1

It's "  -m₂g*10/11 " ; #2

 

 

mg+T=ma

 

T=m(a-g)=-mg(10/11)