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2. (40 pts) This problem is similar to the first problem of Test 5, except now there is friction. As shown in Figure 2, a

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2. (40 pts) This problem is similar to the first problem of Test 5, except now there is friction. As shown in Figure 2, a body of mass m = 5.00 kg is initially sliding with velocity Vo = 20.0 m/s downward along an ngle 0 = 30.0 and with unknown coefficient of kinetic friction /. A constant force F = 2 of 5 in applied to the mass in an upward direction parallel to the incline. The force of gravity downward. The acceleration due to gravity g is 9.8 m/s' exactly. Calculate the minimum coefficient of kinetic friction / such that the mass can be brought to rest in a displacement Ax of maximum value Xmax = 12.0 m from where the force is first applied. Make sure to first draw a proper free-body diagram. Make appropriate use of Newton's laws and a kinematic equation to solve the problem fully algebraically for / . Then insert values for your variables. Choose the positive x direction to point down along the incline. Vo m F Figure 2. A force F applied to a body initially moving with velocity vo downward along an incline with friction

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