Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is 0 . 05 . ( g = 10   m   s - 2 , mass of the string is negligible and no other friction exists).

Step-by-step solution

First, make the free body diagram, here, the equation, the relation between tension and acceleration, 20 = 2 a + T     . . 1   &   T = 10 a + 5     . . 2 ⇒ 20 = 2 a + 10 a + 5 ⇒ 12 a = 15 ⇒ a = 15 12 = 1 . 25   m   s - 2