(1) A wooden block with a mass of 700 g is moving east with a constant velocity of 8 m/s when it is struck by a 20 g bullet moving west with a velocity of 625 m/s. The bullet strikes the block and goes through it. If the bullet
emerges from the block with a velocity of 470 m/s west, determine the following:
(i) the displacement of the block from the point of impact and
(ii) the time required for the block to stop after impact.
(All masses are conserved and the coefficient of friction of the wooden block is 0.21)

5submission this assignment is worth 20 points total. you are required to submit the following by next lab: 1. (3 points) determine the equation for the output angular velocity ω2 = θ˙ 2 as a function of θ1, ω1 = θ˙ 1 and α. you must show all your work to receive credit. 2. (2 points) use the result of problem#1 to plot ω2 over 0 ≤ θ1 ≤ 360deg with ω1 = 360deg/sec. do this for α = {10,30}deg. show the results on the same plot and properly label the axes, title, legend. for this you can use matlab or ms excel. 3. (3 points) determine the equation for the output angular acceleration ω˙ 2 and create a plot similar to the one in problem#2. 4. (10 points) submit plots of the results (ω2 and ω˙ 2) obtained from creo/mechanism and compare them to results of problem#2 and problem#3. note that you should do these comparisons for the two cases with α = {10,30}deg. 5. (2 points) provide a brief explanation of the results. did they match? what are the implications as misalignment angle increases?