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12. A 3.20 kg block is attached to a light and firm string and is placed on top of a horizontal platform. A horizontal force F-45.0 N is pulling the block to the right. The coefficient of the kinetic friction between the block and the platform is 0.240. The other end of the string is connected to a block of mass 2.80 kg that is hanging straight down as shown in the figure below. The blocks are then released. Find the acceleration of the blocks and the tension force of the string. ( 1.67 m/s2, 32.1N) 3.2 kg→ F-45 N 2.8 kg

Answer 1

For 3.2 kg 45 - T - f_k = 3.2 times a rightarrow 45 - T - (0.24 times 3.2 times 9.8) = 3.2 a rightarrow 45 - T - 7.526 = 3.2 a rightarrow 37.473 - T = 3.2 a for 2.8 kg T - mg = m a rightarrow T - 2.8 times 9.8 = 2.8 times a rightarrow T - 27.44 = 2.8 a rightarrow 10.033 = 6 a a = 1.67 m/s^2 rightarrow T = 2.8 a = 27.44 = 32.1 N