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2. {40 pm] 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 pm] 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 = 5.130 kg is initially sliding with velocity 1:0 = 20.0 mfs downward along an incline with angle a = 30.1) \" and with unknown coefficient of kinetic friction Hr A constant force F = 1130.1] N is then applied to the mass in an upward direction parallel to the incline. The force ofgravity acts vertically downward. The acceleration due to gravity 9 is 9.3 m;"sI exactly. Calculate the minimum value of the coefcient of kinetic friction pk such that the mass can be brought to rest in a displacement x of maximum value Arm\" = 12.0 m from where the force is rst applied. Make sure to rst draw a proper freebody diagram. iv'iake appropriate use of Newton's laws and a kinematic equation to solve the problem fully algebraically for wk . Then insert values for your variables. Choose the positive x direction to point down along the incline. &. : Figure 2. A force F applied to a body initially moving with velocity by, downward along an incline with friction

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