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 and in m/s multiples of g (g = 9.80 m/s). (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 ?

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 and in m/s multiples of g (g = 9.80 m/s). (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 ?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

See similar textbooks

Similar questions

An indestructible bullet 2.00 cm long is fired straight through a board that is 10.0 cm thick. The bullet strikes the board with a speed of 470 m/s and emerges with aspeed of 265 m/s. (To simplify, assume that the bullet accelerates only while the front tip is in contact with the wood.) (a) What is the average acceleration of the bullet through the board? m/s2 (b) What is the total time that the bullet is in contact with the board? (Enter the total time for the bullet to completely emerge from the board.)
A 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…
A 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.
(5) In 1992, a 14 kg meteorite struck a car in Peekskill, NY, leaving a 20-cm-deep dent in the trunk. (a) If the meteorite was moving at 500 m/s before striking the car, what was the magnitude of its acceleration while stopping? Indicate any assumptions you made. (b) What other questions can you answer using the data in the problem?
To 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: Answer
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.
On September 8, 2004, the Genesisspacecraft crashed in the Utah desert because its parachute did not open.The 210 kg capsule hit the ground at 311 km/h and penetrated the soilto a depth of 81.0 cm. What was its acceleration (in m/s2 and in g’s), assumed to be constant, during the crash?
A world’s land speed record was set by Colonel John P. Stapp when in March 1954 he rode a rocket-propelled sled that moved along a track at 1020 km/h. He and the sled were brought to a stop in 1.4 s. In terms of g, what acceleration did he experience while stopping?
(a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? (b) Can this plane land on a small tropical island airport where the runway is 0.800 km long?
A 1500 kg automobile travels at a speed of 105 km/h along a straight concrete highway. Faced with an emergency situation, the driver jams on the brakes, and the car skids to a stop. (a) What will be the car's stopping distance for dry pavement ( = 0.85)? (b) What will be the car's stopping distance for wet pavement ( = 0.60)?
A toad with mass of 280 g leaps into the air to catch a fly. If the toad's jump was at an angle of 35 degrees with respect to the horizontal, and with an initial velocity of 5.1 m/s, what is its speed (in m/s) when it reaches its maximum vertical displacement?
A particle of mass 1.0 kg is subjected to a force Fiz = -3.0N and a second force of F2 = 14.0N.Calculate the magnitude of the acceleration, in m/s, of the particle. Use two significant digits please.