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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
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- A woodpecker’s brain is specially protected from large accelerations 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 meters per second squared and in multiples of g, where 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 acceleration of the brain). What is the brain’s acceleration, expressed in multiples of g?arrow_forwardA 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 ?arrow_forwardA woodpecker’s brain is specially protected from largedecelerations by tendon-like attachments inside the skull.While pecking on a tree, the woodpecker’s head comes to astop from an initial velocity of 0.600 m/s in a distance of only2.00 mm. (a) Find the acceleration in m/s2and in multiplesof g (g= 9.80m/s2)⎠. (b) Calculate the stopping time. (c)The tendons cradling the brain stretch, making its stoppingdistance 4.50 mm (greater than the head and, hence, lessdeceleration of the brain). What is the brain’s deceleration,expressed in multiples of g ?arrow_forward
- In 1992, a 14-kg meteorite struck a car in Peekskill, NY, leaving a 20-cm-deep dent in the trunk. If the meteorite was moving at 500 m/s before striking the car, what was the magnitude of its acceleration while stopping? Find the time it takes for the meteorite to come to a complete stop.arrow_forwardA Formula One car is a single-seat racing car with an open cockpit and substantial wings located in the front and rear. At high speeds, the aerodynamics of the car help to create a strong downward force which allows the car to brake from 27.8 m/s (100 km/hr or 62.2 mi/hr) to 0 in as small of a distance as 17 meters. Determine the deceleration rate (i.e., acceleration) achieved by such a car.arrow_forwardTo Merge into the highway you need to increase your speed from 50 km/h to 100 km/h. If your car can accelerate at 8.0 m/s², what should the minimum length of the ramp be? (report your answer in meters) Your Answer: Answerarrow_forward
- Colonel John P. Stapp, USAF, participated in studying whether a jet pilot could survive emergency ejection. On March 19, 1954, he rode a rocket-propelled sled that moved down a track at a speed of 632 mi/h. He and the sled were safely brought to rest in 1.40 s. Stapp's face is contorted by the stress of rapid negative Col. John Stapp and his rocket sled are acceleration. (Courtesy of U.S. brought to rest in a very short time interval. Air Force) (a) Determine the negative acceleration he experienced (in m/s). m/s2 (b) Determine the distance he traveled during this negative acceleration (in m). (c) What If? Col. Stapp was able to walk away from this experiment. If the human body can survive a negative acceleration five times that experienced by Col. Stapp, what minimum stopping time (in s) would this correspond to in the 1954 experiment? Sarrow_forwardA car weighing 2.5 metric tons and traveling at 90 km/h hits a 500 m long stretch of black ice. Unfortunately, due to skidding, neither accelerating nor braking has any effect on the speed! The driver manages to maintain steady straight direction of motion and the only impact is provided by the ice friction force, which is numerically equal to 4v² Newtons, where the velocity v of the car is measured in m/sec. (a) Using Newton's Second Law F = ma, set up a mathematical model for the position x(t) and velocity v(t) of the car as functions of time t. Start by drawing a diagram and choosing a consistent system of units based on kg, m, sec (1 ton = 1000 kg, 1 m/sec = 3.6 km/h, 1 N = 1 kg · m/sec²). Introduce and label the variables, show the units and write down the differential equations and the intial conditions. (b) Use the model in part a to calculate v(t) and x(t). Fully show the process of solving the initial value problems. (c) Based on your work so far, how long will it take to pass…arrow_forwardNow the air track is tilted so that it makes a 10° angle with the horizontal. The car is let go from rest at t = 0. Assuming negligible friction, how fast (in m/s) is the car going after 1.58 seconds? Use g = 9.81 m/s² for the free-fall acceleration. Enter the number without units.arrow_forward
- A jogger runs 10 km in 45 minutes, rests for 10 minutes, and then runs another 8 km in 1 hour. The average speed of the jogger over the entire run is A 12.41 km/h B 11.61 km/h C 10.29 km/h D 9 km/h E 9.39 km/harrow_forwardA basketball player jumps straight up for a ball. To do this, he lowers his body 0.330 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.920 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. (Enter a number.) m/s (b) Calculate his acceleration (in m/s2) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.330 m. (Enter a number.) m/s² (c) Calculate the force (in N) he exerts on the floor to do this, given that his mass is 102 kg. (Enter a number.) Narrow_forwardA red train traveling at 72 km/h and a green train traveling at 144 km/h are headed toward each other along a straight, level track.When they are 950 m apart, each engineer sees the other’s train and applies the brakes.The brakes slow each train at the rate of 1.0 m/s2. Is there a collision? If so, answer yes and give the speed of the red train and the speed of the green train at impact, respectively. If not, answer no and give the separation between the trains when they stoparrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill