please show step by step for the second question thank you 3

please show step by step for the second question! thank you!

30 4s T. Ti 4. Which of the following is true of the masnitudes of tensions Ti. T, and Ts in the ropes in the diagram shown above? (A) Ti must be greater than 30 N (B) The tension T: is greater than T (C) The y-component of T: and T is equal to 30 N (D) The sum of the magnitudes of T: and Ts is equal to Ti (E) The sum of the magnitudes of Ti and T: is equal to T. 5. Two blocks of mass m and Sm are connected by a light string which passes over a pulley of negligible mass and friction. What is the acceleration of the masses in terms of the acceleration due to gravity, g? (A)4g (B) 5g (C) 6g (D)4/5 g (E) 2/3 g

Solution

Force on m, T-mg = ma

Force on 5m 5mg-T = 5ma

Solve for T and a,
a = 4mg = 6ma SO, 4g/6 = a