Professional Application: A woodpecker’s brain is specially protected from large decelerations by tendon-like attachments inside the skull. While pecking on a tree, the woodpecker’s head comes to a stop from an initial velocity of 0.600 m/s in a distance of only 2.00 mm. (a) Find the acceleration in m/s2 and in multiples of ? ? g(?g = 9.80 m/s2). (b) Calculate the stopping time. (c) The tendons cradling the brain stretch, making its stopping distance 4.50 mm (greater than the head and, hence, less deceleration of the brain). What is the brain’s deceleration, expressed in ?multiples of? g ?
Step-by-step solution 32PE Step 1 of 8 (a) From the equation of motion, Therefore, Here is the final speed, is the initial speed is the acceleration and is the distance. Step 2 of 8 Substitute for , for and for . Therefore, the deceleration is . Step 3 of 8 The deceleration in terms of g is, The deceleration in terms of g is . Step 4 of 8 (b) The formula to find the time interval is,