Set Question 2

Problem 1: To stop a car, first you require a certain reaction time to begin braking, then the car slows at a constant rate. Suppose that the total distance moved by your car during these two phases is 45.2m when its initial speed is 62.7 km/h, and 24.4 m when its initial speed is 43.4 km/h. Use Maxima to solve for (a) your reaction time and (b) your acceleration. Problem 2: Kobe Bryant (height = 1.98 m) shoots a basketball from a height of 2.40 m with an initial speed of 11.0 m/s directed at 240 above the horizontal (see Figure 1). (a) How far from the basket was Kobe Bryant if he made a basket? (b) At what angle with respect to the horizontal did the ball enter the basket? (c) Is the shot made by Kobe worth 3 pts? (Note that the distance of the 3 point line from the basket is approximately 7.24 m [23 ft and 9 inches]). Vo =11.0 m/s 24.0 10 ft 2.40 m = 3.05 m X = ?Problem 3: Block A of mass 15.0 kg is in equilibrium, but it would slip if block B of mass 8.00 kg were any heavier (see Figure 2). (a) Draw free-body diagrams that illustrate the forces on block A, block B, and the knot (denoted as C). (b) For angle 0=35.0o, what is the coefficient of static friction (us) between block A and the surface below it? C A B Figure 2. System of blocks in equilibrium illustrating Problem 3 Problem 4: A uniform rod of length 6.00 m6.00 m and mass 4.40 kg4.40 kg is hinged at point A and held in equilibrium by a light cord, as shown in Figure 3. A load weighing 25.0 N25.0 N hangs from the rod at a distance dd so that the tension in the cord is 87.0 N87.0 N. (a) Draw a free-body diagram that illustrates the forces on the rod. (b) Determine the vertical and horizontal forces (Fhx and Fhy) on the rod exerted by the hinge. (c) Determined from the appropriate torque equation for the system. Cord B 0=550 W =25 N Figure 3. Uniform rod in equilibrium illustrating Problem 4