Part E : Thinking and Investigation [17 marks], Communication [6 marks] Solve the following problems neatly in steps with concluding statements. 44. In testing a new material to be used in non-slip door mats. Scientists made a mat made of this new material, and did the following experiment. A force (F) was used to pull a wooden block across the mat as shown below. [T- 5 marks, C-2 marks] The size of the force was varied and the data table below shows the size of the force and the block's resulting acceleration. FIN) a (m/s' 20 0.25 25 0.85 30 1.35 1.95 a) Plot the data, reversing the independent and dependent variables in this graph, so that the force goes on the vertical axis and the acceleration goes on the horizontal axis. Determine the equation of the relationship obtained. (T - 1, C - 1) F (N) a (m/s=) The industrial standard for the coefficient of friction for non-slip mats is 0.85. b) Using your slope value and your y-intercept value from the graph, determine the coefficient of friction between the block and the mat. Show your work/reasoning. (T - 2) c) Would this mat be approved for production based on its coefficient of friction? Briefly explain. (T - 2, C - 1)