Some mice can survive a fall from any height; they do this flattening out their bodies to increase their cross sectional area which acts like a parachute. Model a 20 g mouse as a 4 cm x 9 cm rectangle with a drag coefficient of 1.1, and assume the density of air is 1.2 kg/m³. A. What is the terminal velocity of this mouse? B. Suppose the mouse is falling at 5 m/s. What would be its acceleration at this instant?

Some mice can survive a fall from any height; they do this flattening out their bodies to increase their cross sectional area which acts like a parachute. Model a 20 g mouse as a 4 cm x 9 cm rectangle with a drag coefficient of 1.1, and assume the density of air is 1.2 kg/m³. A. What is the terminal velocity of this mouse? B. Suppose the mouse is falling at 5 m/s. What would be its acceleration at this instant?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 49PQ: Water is flowing through a pipe that has a constriction opening into a region with a wider...

See similar textbooks

Related questions

Q: Two blocks are on an incline plane as shown. Block A has a mass of 20kg and Block B has a mass of…

A: Solution:-

Q: A 500 g block w/ an a horizontal tabletop a. How far will it b. What is the c tabletop?

A: mass = m = 500 g = 0.5 kg initial speed = Vi= 90 cm/s = 0.9 m/s frictional force = f =0.8 N

Q: A 10 kg box is on the horizontal surface with an exerting force of 95.3 N to start a box in the…

A: Given: Mas of the box = m = 10 kg Force required to start the motion of object = F = 95.3 N Once the…

Q: Consider dropping a baseball from rest at an altitude of 300 m. Assume that the baseball has a drag…

Q: AN OBJECT WITH A MASS OF 0.980 Kg and a frontal area of 0.0400 m^2 is falling straight down. the…

Q: Mazie stands on her kitchen floor. The coefficient of kinetic friction between her socks and the…

A: Given, Mass of Mazie =58 kg Coefficient of kinetic friction between her socks and the floor =0.35…

Q: Lift on an airplane is F = (P2-P1) A. The total wing area of a certain airplane is 20 square meter.…

Q: In short-track speed skating, the track has straight sections and semicircles 16 m in diameter.…

Q: Electrons are ejected from a metal surface with the speeds ranging up to v=4.6x10° m/s when light…

Q: an airplane flying at a constant speed, a. If the angle of attack α= 0, the thrust to drag ratio T…

Q: A box is projected upward onto a ramp that has a 15 degree incline. I know knows that it starts with…

Q: A small block slides at a speed V on a horizontal surface. Determine the angle e at which it will…

A: Answer..

Q: Dana has a sports medal suspended by a long ribbon from her rearview mirror. As she accelerates onto…

A: a. When Dana accelerates the medal experience a pseudo force, the magnitude of this force is equal…

Q: A 24 kg box is tied to a 14 kg box with a horizontal rope. The coefficient of friction between the…

A: In this question we are given that a 24 kg box is tied to a 14 kg box with a horizontal rope. The…

Q: You have just landed on Planet X. You release a 180 gg ball from rest from a height of 10.0 mm and…

A: Write the second kinetic equation and substitute the required values to determine the acceleration…

Q: 15 A81 kg skydiver can be modeled as a rectangular "bax with dimensions 18 cm x 35 cm x 180 cm. If…

A: We know that Drag force is D = 1/2*density*v2*C*A Where C is the Drag coeffecientW = m*gAt terminal…

Q: A student suggests that the force of air resistance FA depends on the relative speed of an object…

A: Basic Details The force of air resistance depends on the relative speed of the object passing…

Q: The surface of a pool table is h=0.710 m from the floor. The winner of a competition wants to know…

A: height = h =0.71 m horizontal distance = R = 4.95 m initial horizontal component of velocity = V0x=…

Q: 3. a. You put this large blow up Halloween decoration in your yard. The wind is blowing it to the…

Q: The drag on a pitched baseball can be surprisingly large. Suppose a 145 g baseball with a diameter…

Q: Consider a setup with a horizontal table, two masses, a string, and a massless, frictionless pulley.…

Q: An early submersible craft for deep-sea exploration was raised and lowered by a cable from a ship.…

A: Given The tension of the cable when it is stationary shows its weight that is equal to W = 6000 N.…

Q: Fast pls in 10 lin i will give u like for sure 17. Assume a water strider has a roughly circular…

A: The water strider has a roughly circular foot of radius, r=0.0101 mm =1.01×10-5 m. The surface…

Q: A stuntman drives a car of mass 1125 kg east with a speed of 20 m/s. a. If the car accelerates at…

Q: I watched a lot of Looney Toons when I was a kid, and liked that the Roadrunners legs would spin for…

Q: A friction experiment is performed on a planet that has the same mass as Earth but half the radius.…

A: Write the given values with the suitable variables. Mp=MrP=r2F=15 Nm=1 kgμ=0.3 Here, Mp, M, rP, r,…

Q: a. Consider two parachutists, a heavy person and a light person, who jump from the same altitude…

A: Introduction: Once the parachute inflates, the air enters and is intercepted by the fabric of it. It…

Q: Q1 A spherical buoy has a diameter of 1.5 m. weighs 8.50 kN. and is anchored to the sea floor with a…

A: Here we have to use Buoyancy force formula.

Q: A contestant in a winter sporting event pushes a 45 kg block of ice in the positive direction across…

A: The below figure represents the free body diagram of the block.

Q: 1. You are tasked with designing the runway on an aircraft carrier. The minimum speed for the F/A18…

A: Hey there since you have posted a question with multiple sub-division we have solved the first 3…

Q: What is the terminal speed of a 7.11 kg spherical ball that has a radius of 1.69 cm and a drag…

A: Given value--- mass = 7.11 kg. radius = 1.69 cm. drag coefficient = 1.38 density of air = 1.20…

Q: an adventurous archeologist crosses between two rocks cliffs, with a ranging river far below, by…

Q: April works at the grocery store. She needs to move a heavy crate of bananas ( m = 80 kg) to the…

Concept explainers

Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

Question

2. Some mice can survive a fall from any height; they do this flattening
out their bodies to increase their cross sectional area which acts like
a parachute. Model a 20 g mouse as a 4 cm x 9 cm rectangle with a
drag coefficient of 1.1, and assume the density of air is 1.2 kg/m³.
A. What is the terminal velocity of this mouse?
B. Suppose the mouse is falling at 5 m/s. What would be its
acceleration at this instant?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given data:

VIEW

Step 2: Draw the free body diagram:

VIEW

Step 3: A. Find the terminal velocity:

VIEW

Step 4: B. Find the acceleration when speed is 5 m/s:

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

You are part of a team in an engineering class that is working on a scale model of a new design for a life vest. You have been asked to find the mass of a piece of foam that will be used for flotation. Because the piece is too bulky to fit on your balance, you break it into two parts. You measure the mass of the first part as 128.3 0.3 g and the second part as 77.0 0.3 g. a. What are the maximum and minimum values for the total mass you might reasonably report? b. What is the best estimate for the total mass of the foam? Hint: Propagation of uncertainty is described in Appendix A.
A 20.0-kg child sits on a four-legged stool. The radius of each of the stools feet is 0.022 m. a. Ignoring the mass of the stool, what is the force that is exerted on the floor? b. What is the pressure applied to the floor by the stool?
A rock with a mass of 540 g in air is found to have an apparent mass of 342 g when submerged in water. (a) What mass of water is displaced? (b) What is the volume of the rock? (c) What is its average density? Is this consistent with the value for granite?
(a) A very powerful vacuum cleaner has a hose 2.86 cm in diameter. With the end of the hose placed perpendicularly on the flat face of a brick, what is the weight of the heaviest brick that the cleaner can lift? (b) What If? An octopus uses one sucker of diameter 2.86 cm on each of the two shells of a clam in an attempt to pull the shells apart. Find the greatest force the octopus can exert on a clamshell in salt water 32.3 m deep.
In an immersion measurement of a woman's density, she is found to have a mass of 62.0 kg in air and an apparent mass of 0.0850 kg when completely submerged with lungs empty. (a) What mass of water does she displace? (b) What is her volume? (c) Calculate her density. (d) If her lung capacity is 1.75 L is she able to float without treading water with her lungs filled with air?
An inflated spherical beach ball with a radius of 0.3573 m and average density of 10.65 kg/m3 is being held under water in a pool by Janelle. The density of the water in the pool is 1000.0 kg/m3. When Janelle releases the ball, it begins to rise to the surface. If the drag coefficient of the ball in the water is 0.470 and the constant upward force on the ball is 1875 N, what will be the terminal speed of the ball as it rises? Ignore the effects of gravity on the ball.
A spherical weather balloon is filled with hydrogen until its radius is 3.00 m. Its total mass including the instruments it carries is 15.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? (c) Why does the radius of the balloon tend to increase as it rises to higher altitude?
(a) How high will water rise in a glass capillary tube with a 0.500-mm radius? (b) How much gravitational potential energy does the water gain? (c) Discuss possible sources of this energy.
(a) The pressure inside an alveolus with a 2.00104 -m radius is 1.40103 Pa, due to its fluid-lined walls. Assuming the alveolus acts like a spherical bubble, what is the surface tension of the fluid? (b) Identify the likely fluid. (You may need to extrapolate between values in Table 11.3.)
(a) What is the mass of a deep breath of air having a volume of 2.00 L? (b) Discuss the effect taking such a breath has on your body's volume and density.
Water is flowing through a pipe that has a constriction opening into a region with a wider cross-sectional area. If the pipe regions are cylindrical with radii of 0.10 m and 0.35 m, respectively, and the water is moving with a speed of 1.50 m/s in the wider section, what is the speed of the water in the constricted section?
Show that the Reynolds number NRis unitless by substituting units for all the quantities in its definition and cancelling.