Q. A woodpecker's brain is specially protected from large decelerations bytendon-like attachments inside the skull. While pecking on a tree, the woodpecker'shead comes to a stop from an initial velocity of 0.565 m/s in a distance of only 2.15mm.a. Find the acceleration in m/s²b. Find the acceleration in multiples of g (g = 9.80 m/s2) This means that you want todetermine how much bigger the acceleration you calculated in part a is compared tothe acceleration due to gravity,c. Calculate the stopping time (in s).

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Answered: Q. A woodpecker's brain is specially…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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At time t, the position of a body moving along the s-axis is s=−t^3+12t^2−36t m. a. Find the body's acceleration each time the velocity is zero. b. Find the body's speed each time the acceleration is zero. c. Find the total distance traveled by the body from t=0 to t=3.
2. a. A particle is undergoing a uniform rectilinear motion and the displacement as a function of time is given by r(t) = 6tª- 2t³ -12t²+3t+3 where r is in meters and t is in seconds. b. What is a uniform rectilinear motion? c. Find the average acceleration of the particle between t = 0 and t = 2s d. When is the acceleration zero? = 3. The position of a particular particle as a function of time is given by r 9.60t i+ 8.58 j - 1.00t² k) m. Determine the particle's velocity and acceleration as a function of time.
m L 4. A box with a mass m = 0.4 kg is released from rest at the top of a curved section of a track that is one quarter of a circle with a radius R = 0.2m. When the box reaches the bottom of the curved track it slides on a horizontal section of the track. There is no friction on the curved section of the track. a. Find the velocity of the box at the bottom of the curved section of the track. b. Find the normal force on the block when it is at the bottom of the circular section of the ramp. If there is a Resistive force F on the horizontal section of the track and is given as a function of speed by F=-4v² c. Write down the differential equation for the speed of the block. 1 d. Show that the solution can be written as: v = 0.5 + 10t
9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance. a. Find the maximum height, hℎ, in meters, reached by the arrow. b. In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.
A jet plane lands with a speed of 145 m/s and can accelerate at a maximum rate of -7.00 m/?2 as it comes to rest. a. From the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest? b. Can this plane land on a small tropical island airport where the runway is 0.9 km long? Why?
The first active volcano observed outside the earth was discovered in 1970 on Io, one of the moons of jupiter. The volcano was observed ejecting material to the height of about 3x105m. Given the acceleration of gravity on Io is 1.8 m/s2. Find: a. The initial velocity of the ejected material. b. What is the velocity at half that height?
Question 4 A stretched string of length 50 cm is plucked a quarter of the way along its length to give an initial velocity of 10 m/s. Find expressions for the coefficients an and bn. a. an = 0 bn = 0 -0.5 b. an = 0.25 y(x,0) sin(kx)dx, b₁ = 0 4 0.5 = c. an = 0, bn foy(x,0) sin(kx) dx @n 4 -0.5 d. an = So y(x,0) sin(kx) dx, y(x,0)sin(kx)dx Wn b₁ =0.255 0
2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average acceleration of 2.4 m/s2. The runway is 1.2 km. Write out the 3 Kinetic equations. a. b. Write out the values of initial position, initial velocity, and acceleration. How many seconds will it take for the plane to reach takeoff speed? с. d. How far will the plane have to travel to get to takeoff speed? will the plane be able to get to take off before it gets to the end of the runway? е.
A particle moves along the x-axis according to r(t) = 20t - 4t² m. Help on how to format answers: units. a. Determine the instantaneous velocity at each of the following times. At time t = 1s the instantaneous velocity is: At time t = 8s the instantaneous velocity is: b. Determine the instantaneous speed at each of these times. At time t = 1s the instantaneous speed is: At time t = 8s the instantaneous speed is: c. What is the average velocity between t = 1s and t = 8 s? Answer:
A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by v⃗ =[ 5.00m/s − (0.0180m/s3) t2 ] i + [ 2.00m/s + (0.550m/s2) t ] j . a. What is the magnitude of the velocity of the car at t = 8.00 s? b. What is the direction (in degrees counterclockwise from + x-axis) of the velocity of the car at t = 8.00 s? c. What is the magnitude of the acceleration of the car at t = 8.00 s? d. What is the direction (in degrees counterclockwise from + x-axis) of the acceleration of the car at t = 8.00 s?
A round with a mass of m= 11.5 g is shot out of a rifle that has length L= 1.14 m. The round spends t= 0.14 s in the barrel. a. Write an expression, in terms of the given quantities, for the magnitude of the rounds acceleration, a, as it travels through the rifles barrel. You may assume that acceleration is constant throughout the motion. b. Calculate the numerical value for the magnitude of the rounds acceleration, a in m/s square. c. What is the numerical value of the net force F NET in Newton’s acting in the round?

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