EBK PHYSICS FOR SCIENTISTS AND ENGINEER
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 8220100461262
Author: SERWAY
Publisher: Cengage Learning US
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 6, Problem 6.65CP

A 9.00-kg object starting from rest falls through a viscous medium and experiences a resistive force given by Equation 6.2. The object reaches one half its terminal speed in 5.54 s. (a) Determine the terminal speed. (b) At what time is the speed of the object three-fourths the terminal speed? (c) How far has the object traveled in the first 5.54 s of motion?

(a)

Expert Solution
Check Mark
To determine

The terminal speed of the object.

Answer to Problem 6.65CP

The terminal speed of the object is 78.3m/s.

Explanation of Solution

The mass of the object is 9.00kg, the time to reach its terminal speed is 5.54sec.

Write the expression for the terminal speed of the object

    vT=mgb                                                                                                     (I)

Here, m is the mass of the object, b is a constant., g is the acceleration due to gravity and vT is the terminal speed.

Write the expression for the speed of the object at an instant of time

    v=vT(1ebtm)                                                                                        (II)

Here, t is the time take and v is the instantaneous speed.

From the given condition, it is clear that the speed of the object is one half of its terminal speed at t=5.54sec.

Substitute 12vT for v in equation (II).

    12vT=vT(1ebtm)12=1ebtmebtm=12

Further solve the above expression.

    btm=ln(12)mb=tln(2)

Substitute tln(2) for mb in equation (I).

    vT=(tln(2))g

Conclusion:

Substitute 5.54sec for t and 9.8m/s2 for g in the above equation.

    vT=(5.54secln(2))(9.8m/s2)=78.3m/s

Therefore, the terminal speed of the object is 78.3m/s.

(b)

Expert Solution
Check Mark
To determine

The time at which the speed of the object is three-fourth of the terminal speed.

Answer to Problem 6.65CP

The time at which the speed of the object is three-fourth of the terminal speed is 11.1sec.

Explanation of Solution

From the given condition, it is clear that the speed of the object is three-fourth of its terminal speed.

Substitute 34vT for v in equation (II).

    34vT=vT(1ebtm)34=1ebtmebtm=14btm=ln(14)

Rearrange the above expression for t.

    t=(mb)ln(0.25)

Conclusion:

Substitute 5.54secln(2) for mb in above equation.

    t=(5.54secln(2))ln(0.25)=11.07sec11.1sec

Therefore, the time at which the speed of the object is three-fourth of the terminal speed is 11.1sec.

(c)

Expert Solution
Check Mark
To determine

The distance travelled by the object in first 5.54sec of motion.

Answer to Problem 6.65CP

The distance travelled by the object in first 5.54sec of motion is 121m.

Explanation of Solution

Write the expression for the speed of an object

    v=drdt

Here, r is the distance travelled by the object.

Rearrange the above expression for r.

    r=0tvdt                                                                               (III)

Recall equation (II)

    v=vT(1ebtm)

Substitute vT(1ebtm) for v in equation (III).

    r=0tvT(1ebtm)dt=vT[t+mb(ebtm1)]

Conclusion:

Substitute 78.34m/s for vT, 5.54secln(2) for mb, and 5.54sec for t in above expression.

    r=(78.34m/s)[5.54sec+5.54secln(2)(eln(2)(5.54sec)5.54sec1)]=120.9m121m

Therefore, the distance travelled by the object in first 5.54sec of motion is 121m.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Plz don't use chatgpt pls will upvote
No chatgpt pls will upvote
look at answer  show all work step by step

Chapter 6 Solutions

EBK PHYSICS FOR SCIENTISTS AND ENGINEER

Ch. 6 - Before takeoff on an airplane, an inquisitive...Ch. 6 - What forces cause (a) an automobile, (b) a...Ch. 6 - A falling skydiver reaches terminal speed with her...Ch. 6 - An object executes circular motion with constant...Ch. 6 - Describe the path of a moving body in the event...Ch. 6 - The observer in the accelerating elevator of...Ch. 6 - Prob. 6.6CQCh. 6 - It has been suggested dial rotating cylinders...Ch. 6 - Consider a small raindrop and a large raindrop...Ch. 6 - Why does a pilot lend to black out when pulling...Ch. 6 - Prob. 6.10CQCh. 6 - If the current position and velocity of every...Ch. 6 - A light string can support a stationary hanging...Ch. 6 - Whenever two Apollo astronauts were on the surface...Ch. 6 - In the Bohr model of the hydrogen atom, an...Ch. 6 - A curve in a road forms part of a horizontal...Ch. 6 - In a cyclotron (one type of particle accelerator),...Ch. 6 - A car initially traveling eastward turns north by...Ch. 6 - A space station, in the form of a wheel 120 m in...Ch. 6 - Consider a conical pendulum (Fig. P6.8) with a bob...Ch. 6 - A coin placed 30.0 cm from the center of a...Ch. 6 - Why is the following situation impossible? The...Ch. 6 - A crate of eggs is located in the middle of the...Ch. 6 - A pail of water is rotated in a vertical circle of...Ch. 6 - A hawk flies in a horizontal arc of radius 12.0 m...Ch. 6 - A 40.0-kg child swings in a swing supported by two...Ch. 6 - A child of mass m swings in a swing supported by...Ch. 6 - A roller-coaster car (Fig. P6.16) has a mass of...Ch. 6 - A roller coaster at the Six Flags Great America...Ch. 6 - One end of a cord is fixed and a small 0.500-kg...Ch. 6 - Prob. 6.19PCh. 6 - An object of mass m = 5.00 kg, attached to a...Ch. 6 - All object of mass m = 500 kg is suspended from...Ch. 6 - A child lying on her back experiences 55.0 N...Ch. 6 - A person stands on a scale in an elevator. As the...Ch. 6 - Review. A student, along with her backpack on the...Ch. 6 - A small container of water is placed on a...Ch. 6 - Review. (a) Estimate the terminal speed of a...Ch. 6 - The mass of a sports car is 1 200 kg. The shape of...Ch. 6 - A skydiver of mass 80.0 kg jumps from a...Ch. 6 - Calculate the force required to pull a copper ball...Ch. 6 - A small piece of Styrofoam packing material is...Ch. 6 - Prob. 6.31PCh. 6 - Prob. 6.32PCh. 6 - Assume the resistive force acting on a speed...Ch. 6 - Review. A window washer pulls a rubber squeegee...Ch. 6 - A motorboat cuts its engine when its speed is 10.0...Ch. 6 - You can feel a force of air drag on your hand if...Ch. 6 - A car travels clockwise at constant speed around a...Ch. 6 - The mass of a roller-coaster car, including its...Ch. 6 - A string under a tension of 50.0 N is used to...Ch. 6 - Disturbed by speeding cars outside his workplace,...Ch. 6 - A car of mass m passes over a hump in a road that...Ch. 6 - A childs toy consists of a small wedge that has an...Ch. 6 - A seaplane of total mass m lands on a lake with...Ch. 6 - An object of mass m1 = 4.00 kg is tied to an...Ch. 6 - A ball of mass m = 0.275 kg swings in a vertical...Ch. 6 - Why is the following situation impossible? A...Ch. 6 - (a) A luggage carousel at an airport has the form...Ch. 6 - In a home laundry dryer, a cylindrical tub...Ch. 6 - Prob. 6.49APCh. 6 - A basin surrounding a drain has the shape of a...Ch. 6 - A truck is moving with constant acceleration a up...Ch. 6 - The pilot of an airplane executes a loop-the-loop...Ch. 6 - Review. While learning to drive, you arc in a 1...Ch. 6 - A puck of mass m1 is tied to a string and allowed...Ch. 6 - Because the Earth rotates about its axis, a point...Ch. 6 - Galileo thought about whether acceleration should...Ch. 6 - Figure P6.57 shows a photo of a swing a ride at an...Ch. 6 - Review. A piece of putty is initially located at...Ch. 6 - An amusement park ride consists of a large...Ch. 6 - Members of a skydiving club were given the...Ch. 6 - A car rounds a banked curve as discussed in...Ch. 6 - In Example 6.5, we investigated the forces a child...Ch. 6 - A model airplane of mass 0.750 kg flies with a...Ch. 6 - A student builds and calibrates an accelerometer...Ch. 6 - A 9.00-kg object starting from rest falls through...Ch. 6 - For t 0, an object of mass m experiences no force...Ch. 6 - A golfer tees off from a location precisely at i =...Ch. 6 - A single bead can slide with negligible friction...Ch. 6 - Prob. 6.69CPCh. 6 - Because of the Earths rotation, a plumb bob does...
Knowledge Booster
Background pattern image
Physics
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Newton's Second Law of Motion: F = ma; Author: Professor Dave explains;https://www.youtube.com/watch?v=xzA6IBWUEDE;License: Standard YouTube License, CC-BY