1. The figure shows a box of mass mi = 9.65 kg moving down on a plane inclined at angle 01 = 560. The box is connected via a cord of negligible mass to a box of mass m2 = 2.15 kg on a plane inclined at angle 02 = 34. The coefficient of kinetic friction between mi, my and the surface is MK = 0.200; the pulley is frictionless and has negligible mass. (a) draw a free body diagram for each block in the system. (b) What is the acceleration of the system? (c) What is the tension in the cord? 2. A 2.00 kg block is initially at rest in space, when a force given by F = (4x2)i + (6y)j + (2.0) k acts on the block from initial position r1 = 0 to r2 = 1.001 + 2.00j + 3.00k in 2.00 seconds (where r is in meters and F in Newtons). (a) What is the work done by the force F on the block from r, to r2? (b) What are the magnitude and direction (relative to the +z axis) of the block velocity at r2? (c) What are the magnitude and direction (relative to the +z axis) of the block acceleration at r2? (d) What is the instantaneous power at r2? 3. A block of mass m1 = 18.0 kg is connected to a block of mass m2 = 32.0 kg by a massless string that passes over a light, frictionless pulley. The 32.0-kg block is N connected to a spring that has negligible mass and a force constant of k = 220 N/m as shown in the figure below. The spring is unstretched when the system is as shown in the figure, and the incline is frictionless. The 18.0-kg block is pulled a distance h = 24.0 cm down the incline of angle 0 = 40.0 . and released from rest. Find the speed of each block when the spring is again unstretched