Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 77PQ
To determine
The magnitude of speed at time t.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
n object starts from origin att%3D0 moves along the x-
axis. the velocity of the object as a function of time is
shown in the in following figure. Find the average
velocity of the object between t%3D0S and t= 2s
4.0
v(m/s)
0 1 2 34 5 6
t(s)
A particle of mass begins to move at t = 0) from point r(t = 0) = at velocity e(t = 0) = t. The particle moves along the axis in 1 dimensional
motion. The only external force acting on the body during its motion is drag force due to air resistance which is quadratically proportional to the
velocity of the particle:
F₁ = -²
where c is a known real and positive constant.
a. Which function describes the velocity of the body as a function of time (A and a are real and positive constants)?
Hint: write down the equation of motion in terms of the velocity and its derivatives, and check which of the following function is a solution to this
equation.
O a.
O b.
OC. Ae-at
O d. Asin(at)
Oe. at +A
Of Ae
b. Find the constants A and a.
O a. A=t, a==
O b. Acto, a =
A
of3
O d. Aa=
A
1+1
Oc. A t,a==
C
m
Of A-cre, a=
O a.
O b.
Oe. At, a=-=
O f
c. Find the acceleration of the body as a function of its position coordinater.
O C. C₂
171
m
O a
zo
to
Ob
O d. (x
Oc
=e
171
m
778
Oe. cro
_ ಆಫ್ ಟೆ
+
m
m
C-(-3)…
C
You are cold, so you cover yourself in a blanket. A half-hour later, you feel much warner. Explain
in detail where the heat came from, and how the blanket helped.
You decide to ride your bicycle to the south. Describe the direction of the acceleration of the
bicycle during each of the following situations. (assume that you are still moving south the
whole time)
a) You slow down for a red light
b) You increase in speed after the red light
c) You ride south at a steady speed.
Chapter 6 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 6.1 - CASE STUDY Skydiving Arguments Take a moment to...Ch. 6.3 - A box rests on a steel surface. Four sides of the...Ch. 6.3 - Prob. 6.3CECh. 6.4 - Imagine trying to push a heavy sofa across the...Ch. 6.4 - Prob. 6.5CECh. 6.4 - Prob. 6.6CECh. 6.4 - What forces act on you as you walk across a room?...Ch. 6.5 - Figure 6.20 shows four objects moving downward....Ch. 6.5 - Prob. 6.9CECh. 6.5 - Prob. 6.10CE
Ch. 6.6 - The following objects are moving in uniform...Ch. 6 - In many textbook problems, we ignore certain...Ch. 6 - Prob. 2PQCh. 6 - Prob. 3PQCh. 6 - Prob. 4PQCh. 6 - Prob. 5PQCh. 6 - Draw a free-body diagram for the burglar, who is...Ch. 6 - The shower curtain rod in Figure P6.7 is called a...Ch. 6 - A rectangular block has a length that is five...Ch. 6 - A man exerts a force of 16.7 N horizontally on a...Ch. 6 - A makeshift sign hangs by a wire that is extended...Ch. 6 - In Problem 10, the mass of the sign is 25.4 kg,...Ch. 6 - Prob. 12PQCh. 6 - A motorcyclist is traveling at 55.0 mph on a flat...Ch. 6 - A small steel I-beam (Fig. P6.14) is at rest with...Ch. 6 - A box is at rest with respect to the surface of a...Ch. 6 - A filled treasure chest of mass m with a long rope...Ch. 6 - A filled treasure chest (m = 375 kg) with a long...Ch. 6 - Rochelle holds her 2.80-kg physics textbook by...Ch. 6 - Prob. 19PQCh. 6 - A sled and rider have a total mass 56.8 kg. They...Ch. 6 - Prob. 21PQCh. 6 - Prob. 22PQCh. 6 - Prob. 23PQCh. 6 - Lisa measured the coefficient of static friction...Ch. 6 - An ice cube with a mass of 0.0507 kg is placed at...Ch. 6 - Prob. 26PQCh. 6 - Curling is a game similar to lawn bowling except...Ch. 6 - Prob. 28PQCh. 6 - A sled and rider have a total mass of 56.8 kg....Ch. 6 - A sled and rider have a total mass of 56.8 kg....Ch. 6 - A cart and rider have a total mass of 56.8 kg. The...Ch. 6 - Prob. 32PQCh. 6 - Prob. 33PQCh. 6 - Prob. 34PQCh. 6 - Prob. 35PQCh. 6 - Prob. 36PQCh. 6 - A racquetball has a radius of 0.0285 m. The drag...Ch. 6 - Prob. 38PQCh. 6 - Prob. 39PQCh. 6 - Prob. 40PQCh. 6 - An inflated spherical beach ball with a radius of...Ch. 6 - CASE STUDY In the train collision case study...Ch. 6 - Your sailboat has capsized! Fortunately, you are...Ch. 6 - Prob. 44PQCh. 6 - The drag coefficient C in FD=12CAv2 (Eq. 6.5)...Ch. 6 - Prob. 46PQCh. 6 - The speed of a 100-g toy car at the bottom of a...Ch. 6 - Prob. 48PQCh. 6 - Artificial gravity is produced in a space station...Ch. 6 - Escaping from a tomb raid gone wrong, Lara Croft...Ch. 6 - Harry Potter decides to take Pottery 101 as an...Ch. 6 - Harry sets some clay (m = 3.25 kg) on the edge of...Ch. 6 - A small disk of mass m is attached by a rope to a...Ch. 6 - Prob. 54PQCh. 6 - Prob. 55PQCh. 6 - Prob. 56PQCh. 6 - When a star dies, much of its mass may collapse...Ch. 6 - A satellite of mass 16.7 kg in geosynchronous...Ch. 6 - Banked curves are designed so that the radial...Ch. 6 - A block lies motionless on a horizontal tabletop....Ch. 6 - A car with a mass of 1453 kg is rolling along a...Ch. 6 - Prob. 62PQCh. 6 - Prob. 63PQCh. 6 - A box rests on a surface (Fig. P6.64). A force...Ch. 6 - A box of mass m rests on a rough, horizontal...Ch. 6 - A cylinder of mass M at rest on the end of a...Ch. 6 - Problems 67. 70. 71. and 72 are grouped. A A block...Ch. 6 - Instead of moving back and forth, a conical...Ch. 6 - Prob. 69PQCh. 6 - A Suppose you place a block of mass M on a plane...Ch. 6 - Prob. 71PQCh. 6 - Prob. 72PQCh. 6 - A car is driving around a flat, circularly curved...Ch. 6 - Prob. 74PQCh. 6 - Two children, with masses m1 = 35.0 kg and m2 =...Ch. 6 - Chris, a recent physics major, wanted to design...Ch. 6 - Prob. 77PQCh. 6 - Prob. 78PQCh. 6 - The radius of circular electron orbits in the Bohr...Ch. 6 - A particle of dust lands 45.0 mm from the center...Ch. 6 - Since March 2006, NASAs Mars Reconnaissance...
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
- February 3, 2009, was a very snowy day along Interstate 69 just outside of Indianapolis, Indiana. As a result of the slippery conditions and low visibility (50 yards or less), there was an enormous accident involving approximately 30 vehicles, including cars, tractor-trailers, and even a fire truck. Many witnesses said that people were driving too fast for the conditions and were too close together. In this problem, we explore two rules of thumb for driving in such conditions. The first is to drive at a speed that is half of what it would be in ideal conditions. The other is the 8-second rule: Watch the vehicle in front of you as it passes some object such as a street sign, and you should pass that same object 8 seconds later. On a dry road, the 8-second rule is replaced by a 3-second rule. a. Assume vehicles on a slippery interstate highway follow both rules. What is the distance between the vehicles? b. If a driver followed the first rule of thumb, driving at a lower speed, but used the 3-second rule instead of the 8-second rule, what is the distance between the vehicles? How does that distance compare with the visibility on the day of the accident? c. Suppose drivers do not follow either rule of thumb for slippery conditions. What is the distance between vehicles? How does that distance compare with the visibility on that day? d. Suppose a driver was not obeying either rule of thumb when she sees a tractor-trailer that stopped on the highway. She presses on her brakes, locking the wheels, and her car crashes into the truck. Estimate the magnitude of the impulse exerted on her car. e. Estimate the impulse on the car in part (d) had the driver followed both rules of thumb for slippery conditions instead of ignoring them.arrow_forwarda a resistive force of magnitude (kmv - ma) N, where k and a are constants. (a) Show that dv (a – kv) dt %3D (b) If vo is the speed of the particle at time t = 0 s, show that: 1 kvo t In k a - kvarrow_forwardIn the movie Star Wars: The Empire Strikes Back, after being told that Darth Vader is his father, Luke Skywalker falls from a ledge in Cloud City (not on the Earth, so the magnitude of the free-fall acceleration is not necessarily 9.81 m/s2). Suppose he falls a distance of 28.5 m in 2.5 s. Assuming he starts from rest, answer the following questions. a. What is Lukes velocity 2.5 s after he starts to fall? b. What is the constant acceleration due to gravity, experienced by Luke, on Cloud City? Use an upward-pointing y axis.arrow_forward
- It is possible to shoot an arrow at a speed as high as 100 m/s. (a) If friction can be ignored, how high would an arrow launched at this speed rise if shot straight up? (b) How long would the arrow be in the air?arrow_forwardIn 1898, the world land speed record was set by Gaston Chasseloup-Laubat driving a car named Jeantaud. His speed was 39.24 mph (62.78 km/h), much lower than the limit on our interstate highways today. Repeat the calculations of Example 2.7 (acceleration for first 6 miles, time of timed mile, acceleration for last 6 miles) for the Jeantaud car. Compare the results of the ThrustSSC to Jeantaud.arrow_forwardA firecracker explodes into four equal pieces (Fig. P3.35). Given the magnitude and direction of the velocity for each piece and the coordinate system shown, determine the x and y velocity components for each piece of the firecracker.arrow_forward
- A falcon is soaring over a prairie, flying at a height of 45.0 m with a speed of 12.9 m/s. The falcon spots a mouse running along the ground and dives to catch its dinner. Ignoring air resistance, and assuming the falcon is only subject to the gravitational force as it dives, how fast will the falcon be moving the instant it is 5.00 m above the ground?arrow_forwardA In a classic laboratory experiment, a cart of mass m1 on a horizontal air track is attached via a string over an ideal pulley to a hanging cylinder of mass m2. The system is released from rest, and the motion is measured. Find the speed of the cart after the cylinder has descended a distance H.arrow_forwardSome cats can be trained to jump from one location to another and perform other tricks. Kit the cat is going to jump through a hoop. He begins on a wicker cabinet at a height of 1.750 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.125 m above the floor. a. With what initial velocity did Kit leave the cabinet if the hoop is at a horizontal distance of 1.544 m from the cabinet? b. If Kit lands on a bed at a horizontal distance of 3.587 m from the cabinet, how high above the ground is the bed?arrow_forward
- Anthony carelessly rolls his toy car off a 74.0-cm-high table. The car strikes the floor a horizontal distance of 97.0 cm from the edge of the table. a. What was the velocity with which the car left the table? b. What was the angle of the cars velocity with respect to the floor just prior to impact?arrow_forwardIn an airport terminal, there are two fast-moving sidewalks (9.0 km/h); one carries its passengers south, and the other carries its passengers north. Each sidewalk is 0.50 km long. At the instant a woman steps onto the north end of the southbound sidewalk, a man steps onto the south end of the northbound sidewalk. He stands still with respect to the sidewalk, while she walks south at 5.0 km/h. a. How long after stepping onto the sidewalks do they pass each other? (Report your answer to the nearest second.) b. How far does each person travel in that time? (Report your answer in kilometers.)arrow_forwardn a particular Cartesian coordinate system, a particle has coordinatesx(t) = 2sin(3t) + C,y = 0,z = 0,where t is in seconds, x is in meters, and C is a constant to be determined by the data. At t = 0 the particle was at x = 1 m. Part (a) Find the value of constant C, in meters. Part (b) Find the instantaneous velocity, in meters per second, at t = 1.5 s. Part (c) Find the instantaneous velocity, in meters per second, at t = 1.5 s. Part (d) Find the instantaneous velocity, in meters per second, at t = 2.8 s. Part (e) Find the instantaneous acceleration, in meters per square second, at t = 1.5 s. Part (f) Find the instantaneous acceleration, in meters per square second, at t = 1.5 s. 14% Part (g) Find the instantaneous acceleration, in meters per square second, at t = 2.8 s.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Impulse Derivation and Demonstration; Author: Flipping Physics;https://www.youtube.com/watch?v=9rwkTnTOB0s;License: Standard YouTube License, CC-BY