Two boxes connected by a light horizontal rope are on a horizontal surface. The

Question

Two boxes connected by a light horizontal rope are on a horizontal surface. The coefficient of kinetic friction between each box and the surface is 0.30. One box (box B) has mass 4.93 kg , and the other box (box A ) has mass m. A force with magnitude 43.9 N and direction 53.1 degrees above the horizontal is applied to the 4.93 kg box, and both boxes move to the right with 1.50 m/s^s. a) What is the tension T in the rope that connects the boxes? b) What is the mass m of the second box? Please show how you solved this problem. Thanks in advance.

Explanation / Answer

a) 43.9cos53.1 - T - 0.30 x (4.93*9.81 - 43.9sin53.1) x 9.81 = 4.93 x 1.50 T = 14.986 N (or 15 N) b) on other box : T - m x 9.81 x 0.30 = m x 1.50 m = 3.373 kg

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