(Newton's First, Second and Third Laws, Free-Body Diagrams, Some particular Forces: Gravitational Force, Weight, Normal Force, Friction, Tension, Applying Newton's Laws) 1. (40 pts) A body of mass m = 5.00 kg is initially moving with velocity Vo = 20.0 m/s downward along a frictionless incline, as shown in Figure 1. A constant force F = 200.0 N is then applied to the mass in an upward direction parallel to the incline. The force of gravity acts vertically downward. The acceleration due to gravity g is 9.8 m/s' exactly. Calculate the maximum angle max possible of the incline angle 0 such that the mass can be brought to rest in a displacement x of maximum value 4Xmax = 12.0 m from where the force is first applied. Make sure to first draw a proper free-body diagram. Choose the positive x direction of the coordinate system to point down the incline. Then make appropriate use of Newton's laws to solve algebraically for the acceleration. Then substitute that algebraic solution for acceleration into an appropriate kinematic equation to continue and complete the algebraic solution. Then insert values for your variables into your algebraic solution. Vo Figure 1. A force F applied to a body initially moving with velocity Vo downward along a frictionless incline