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. [5 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. F (N) a (m/s') 20 0.25 25 0.85 30 1.35 35 1.95 Plot the data on the graph below and draw a line of best fit. Extend the line back to the a) "y' axis so that you have a y-intercept point and determine the slope of the line. (1) F (N) 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. (2) c) Would this mat be approved for production based on its coefficient of friction? Briefly explain. (2)