1. Box on an inclined plane, with friction. A 20 kg box is given a push to start it moving up a wooden ramp inclined at an angle of 30 degrees to the horizontal. When the impulse from the push ends, the box has an initial speed of 4 m/s and travels up the ramp for 0.75 s before coming to a stop. We want to find the coefficient of friction, between the box and the ramp. a) Since we're dealing with friction, a force, we should start by drawing a picture of the motion and a free body diagram. Be sure to label the forces in your free body diagram. What choice of coordinate axes will result in the smallest number of force components? (Note: we are considering the motion of the box only after the initial push has ended.) b) Using the force labels (symbols) from part a), find algebraic expressions for the and y components of each of the forces in your free body diagram. Write Newton's second law equations for both x and y components c) Do we know, or can we calculate using the given information, the x and y components of the acceleration? If so, determine these components of the acceleration. d) Use your Newton's second law equations to solve for the coefficient of friction