Last Question hopefully .. Physics

Question

A 9.00 kg hanging weight is connected by a string over a pulley to a 5.00 kg block that is sliding on a flat table (Fig. P5.49). If the coefficient of kinetic friction is 0.162, find the tension in the string.

Image Link ( http://www.webassign.net/sb5/p5-49.gif )

Answer 1

Draw free body diagram first. Using Newton's second law ,

T - 5g(0.162) = 5a ......(1)

9g - T = 9a ......(2)

(1)/(2): [T - 5g(0.162)]/[9g - T] = 5/9

Solve for T,

T = 36.60 N