EBK COLLEGE PHYSICS
11th Edition
ISBN: 8220103600385
Author: Vuille
Publisher: Cengage Learning US
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 4, Problem 87AP
A car accelerates down a hill (Fig. P4.87), going from rest to 30.0 m/s in 6.00 s. During the acceleration, a toy (m = 0.100 kg) hangs by a string from the car’s ceiling. The acceleration is such that the string remains perpendicular to the ceiling. Determine (a) the angle θ and (b) the tension in the string.
Figure P4.87
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
m
C
A block of mass m slides down a ramp of height hand
collides with an identical block that is initially at rest.
The two blocks stick together and travel around a loop of
radius R without losing contact with the track. Point A is
at the top of the loop, point B is at the end of a horizon-
tal diameter, and point C is at the bottom of the loop, as
shown in the figure above. Assume that friction between
the track and blocks is negligible.
(a) The dots below represent the two connected
blocks at points A, B, and C. Draw free-body dia-
grams showing and labeling the forces (not com
ponents) exerted on the blocks at each position.
Draw the relative lengths of all vectors to reflect
the relative magnitude of the forces.
Point A
Point B
Point C
(b) For each of the following, derive an expression in
terms of m, h, R, and fundamental constants.
i. The speed of moving block at the bottom of
the ramp, just before it contacts the stationary
block
ii. The speed of the two blocks immediately…
The velocity of an elevator is given by the graph shown.
Assume the positive direction is upward.
Velocity (m/s)
3.0
2.5
2.0
1.5
1.0
0.5
0
0
5.0
10
15
20
25
Time (s)
(a) Briefly describe the motion of the elevator.
Justify your description with reference to the
graph.
(b) Assume the elevator starts from an initial position
of y = 0 at t=0. Deriving any numerical values
you
need from the graph:
i. Write an equation for the position as a
function of time for the elevator from
t=0 to t = 3.0 seconds.
ii. Write an equation for the position as a
function of time for the elevator from t = 3.0
seconds to t = 19 seconds.
(c) A student of weight mg gets on the elevator
and rides the elevator during the time interval
shown in the graph. Consider the force of con-
tact, F, between the floor and the student. How
Justify your answer with reference to the graph
does F compare to mg at the following times?
and your equations above.
i. = 1.0 s
ii. = 10.0 s
Students are asked to use circular motion to measure the
coefficient of static friction between two materials. They
have a round turntable with a surface made from one of
the materials, for which they can vary the speed of rotation.
They also have a small block of mass m made from the sec-
ond material. A rough sketch of the apparatus is shown in
the figure below. Additionally they have equipment normally
found in a physics classroom.
Axis
m
(a) Briefly describe a procedure that would allow you
to use this apparatus to calculate the coefficient of
static friction, u.
(b) Based on your procedure, determine how to
analyze the data collected to calculate the
coefficient of friction.
(c) One group of students collects the following
data.
r (m)
fm (rev/s)
0.050
1.30
0.10
0.88
0.15
0.74
0.20
0.61
0.25
0.58
i. Use the empty spaces in the table as needed to
calculate quantities that would allow you to
use the slope of a line graph to calculate the
coefficient of friction, providing labels with…
Chapter 4 Solutions
EBK COLLEGE PHYSICS
Ch. 4.2 - Which of the following statements are true? (a) An...Ch. 4.2 - Which has greater value, a newton of gold on Earth...Ch. 4.2 - Respond to each statement, true or false: (a) No...Ch. 4.2 - A small sports car collides head-on with a massive...Ch. 4.4 - If you press a book flat against a vertical wall...Ch. 4.4 - A crate is sitting in the center of a flatbed...Ch. 4.4 - Suppose your friend is sitting on a sled and asks...Ch. 4.6 - Consider the two situations shown in Figure 4.30,...Ch. 4.6 - For the woman being pulled forward on the toboggan...Ch. 4 - A passenger sitting in the rear of a bus claims...
Ch. 4 - A space explorer is moving through space far from...Ch. 4 - (a) If gold were sold by weight, would you rather...Ch. 4 - If you push on a heavy box that is at rest, you...Ch. 4 - A ball is held in a persons hand. (a) Identify all...Ch. 4 - A weight lifter stands on a bathroom scale. (a) As...Ch. 4 - (a) What force causes an automobile to move? (b) A...Ch. 4 - If only one force acts on an object, can it be in...Ch. 4 - In the: motion picture It Happened One Night...Ch. 4 - Analyze the motion of a rock dropped in water in...Ch. 4 - Identify the action-reaction pairs in the...Ch. 4 - Draw a free-body diagram for each of the following...Ch. 4 - In a tug-of-war between two athletes, each pulls...Ch. 4 - Suppose you are driving a car at a high speed. Why...Ch. 4 - As a block slides down a frictionless incline,...Ch. 4 - A crate remains stationary after it has been...Ch. 4 - In Figure 4.4, a locomotive has broken through the...Ch. 4 - If an object is in equilibrium, which of the...Ch. 4 - A truck loaded with sand accelerates along a...Ch. 4 - A large crate of mass m is placed on the back of a...Ch. 4 - Which of the following statements are true? (a) An...Ch. 4 - A woman is standing on the Earth. In terms of...Ch. 4 - An exoplanet has twice the mass and half the...Ch. 4 - Choose the best answer. A car traveling at...Ch. 4 - The heaviest invertebrate is the giant squid,...Ch. 4 - A football punter accelerates a football from rest...Ch. 4 - A 6.0-kg object undergoes an acceleration of 2.0...Ch. 4 - One or more external forces are exerted on each...Ch. 4 - A bag of sugar weighs 5.00 lb on Earth. What would...Ch. 4 - A freight train has a mass of 1.5 107 kg. If the...Ch. 4 - Four forces act on an object, given by A = 40.0 N...Ch. 4 - Consider a solid metal sphere (S) a few...Ch. 4 - As a fish jumps vertically out of the water,...Ch. 4 - A 5.0-g bullet leaves the muzzle of a rifle with a...Ch. 4 - A boat moves through the water with two forces...Ch. 4 - Two forces are applied to a car in an effort to...Ch. 4 - A 970.-kg car starts from rest on a horizontal...Ch. 4 - An object of mass m is dropped from the roof of a...Ch. 4 - After falling from rest from a height of 30.0 m, a...Ch. 4 - The force exerted by the wind on the sails of a...Ch. 4 - A force of 30.0 N is applied in the positive...Ch. 4 - What would be the acceleration of gravity at the...Ch. 4 - Calculate the magnitude of the normal force on a...Ch. 4 - A horizontal force of 95.0 N is applied to a...Ch. 4 - A car of mass 875 kg is traveling 30.0 m/s when...Ch. 4 - A student of mass 60.0 kg, starting at rest,...Ch. 4 - A 1.00 103-N crate is being pushed across a level...Ch. 4 - A block of mass m = 5.8 kg is pulled up a = 25...Ch. 4 - A rocket takes off from Earths surface,...Ch. 4 - A man exerts a horizontal force of 125 N on a...Ch. 4 - A horse is harnessed to a sled having a mass of...Ch. 4 - A block of mass 55.0 kg rests on a slope having an...Ch. 4 - A dockworker loading crates on a ship finds that a...Ch. 4 - Suppose the coefficient of static friction between...Ch. 4 - The coefficient of static friction between the...Ch. 4 - Two identical strings making an angle of = 30.0...Ch. 4 - A 75-kg man standing on a scale in an elevator...Ch. 4 - A crate of mass m = 32 kg rides on the bed of a...Ch. 4 - (a) Find the tension in each cable supporting the...Ch. 4 - The distance between two telephone poles is 50.0...Ch. 4 - (a) An elevator of mass m moving upward has two...Ch. 4 - A certain orthodontist uses a wire brace to align...Ch. 4 - A 150-N bird feeder is supported by three cables...Ch. 4 - The leg and cast in Figure P4.40 weigh 220 N (w1)....Ch. 4 - A 276-kg glider is being pulled by a 1 950-kg jet...Ch. 4 - A crate of mass 45.0 kg is being transported on...Ch. 4 - Consider a large truck carrying a heavy load, such...Ch. 4 - A student decides to move a box of books into her...Ch. 4 - An object falling under the pull of gravity is...Ch. 4 - A 3.00-kg block starts from rest at the top of a...Ch. 4 - To meet a U.S. Postal Service requirement,...Ch. 4 - A block of mass 12.0 kg is sliding at an initial...Ch. 4 - The person in Figure P4.49 weighs 170. lb. Each...Ch. 4 - A car is traveling at 50.0 km/h on a flat highway....Ch. 4 - A 5.0-kg bucket of water is raised from a well by...Ch. 4 - A hockey puck struck by a hockey stick is given an...Ch. 4 - A setup similar to the one shown in Figure P4.53...Ch. 4 - An Atwoods machine (Fig. 4.38) consists of two...Ch. 4 - A block of mass m1 = 16.0 kg is on a frictionless...Ch. 4 - Two blocks each of mass m are fastened to the top...Ch. 4 - Two blocks of masses m and 2m are held in...Ch. 4 - The systems shown in Figure P4.58 are in...Ch. 4 - Assume the three blocks portrayed in Figure P4.59...Ch. 4 - Two packing crates of masses 10.0 kg and 5.00 kg...Ch. 4 - A 1.00 103 car is pulling a 300.-kg trailer....Ch. 4 - Two blocks of masses m1 and m2 (m1 m2) are placed...Ch. 4 - In Figure P4.63, the light, taut, unstretchable...Ch. 4 - An object with mass m1 = 5.00 kg rests on a...Ch. 4 - Objects with masses m1 = 10.0 kg and m2 = 5.00 kg...Ch. 4 - Two objects with masses of 3.00 kg and 5.00 kg are...Ch. 4 - In Figure P4.64, m1 = 10. kg and m2 = 4.0 kg. The...Ch. 4 - A block of mass 3m is placed on a frictionless...Ch. 4 - A 15.0-lb block rests on a horizontal floor, (a)...Ch. 4 - Objects of masses m1 = 4.00 kg and m2 = 9.00 kg...Ch. 4 - Two blocks each of mass m = 3.50 kg are fastened...Ch. 4 - As a protest against the umpires calls, a baseball...Ch. 4 - Three objects are connected on a table as shown in...Ch. 4 - (a) What is the minimum force of friction required...Ch. 4 - (a) What is the resultant force exerted by the two...Ch. 4 - A woman at an airport is towing her 20.0-kg...Ch. 4 - A boy coasts down a hill on a sled, reaching a...Ch. 4 - Three objects are connected by light strings as...Ch. 4 - A box rests on the back of a truck. The...Ch. 4 - A high diver of mass 70.0 kg steps off a board...Ch. 4 - A frictionless plane is 10.0 m long and inclined...Ch. 4 - Measuring coefficients of friction A coin is...Ch. 4 - A 2.00-kg aluminum block and a 6.00-kg copper...Ch. 4 - On an airplanes takeoff, the combined action of...Ch. 4 - Two boxes of fruit on a frictionless horizontal...Ch. 4 - A sled weighing 60.0 N is pulled horizontally...Ch. 4 - A car accelerates down a hill (Fig. P4.87), going...Ch. 4 - An inventive child wants to reach an apple in a...Ch. 4 - The parachute on a race car of weight 8 820 N...Ch. 4 - A fire helicopter carries a 620-kg bucket of water...Ch. 4 - The board sandwiched between two other boards in...Ch. 4 - A 72-kg man stands on a spring scale in an...
Additional Science Textbook Solutions
Find more solutions based on key concepts
1. Rub your hands together vigorously. What happens? Discuss the energy transfers and transformations that take...
College Physics: A Strategic Approach (3rd Edition)
What were the major microbiological interests of Martinus Beijerinck and Sergei Winogradsky? It can be said tha...
Brock Biology of Microorganisms (15th Edition)
Identify each of the following reproductive barriers as prezygotic or postzygotic. a. One lilac species lives o...
Campbell Essential Biology with Physiology (5th Edition)
Separate the list P,F,V,,T,a,m,L,t, and V into intensive properties, extensive properties, and nonproperties.
Fundamentals Of Thermodynamics
What process causes the Mediterranean intermediate Water MIW to become more dense than water in the adjacent At...
Applications and Investigations in Earth Science (9th Edition)
What are the cervical and lumbar enlargements?
Principles of Anatomy and Physiology
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
- In general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A = (1,0, -3), B = (-2, 5, 1), and C = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.arrow_forwardIn general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A = (1,0, −3), B = (-2, 5, 1), and C = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.arrow_forwardOnly Part C.) is necessaryarrow_forward
- Only Part B.) is necessaryarrow_forwardA (3.60 m) 30.0°- 70.0° x B (2.40 m)arrow_forwardIn general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A = (1,0, -3), B = (-2, 5, 1), and C = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.arrow_forward
- fine the magnitude of the vector product express in sq meters what direction is the vector product in -z or +zarrow_forward4) Three point charges of magnitude Q1 = +2.0 μC, Q2 = +3.0 μС, Q3 = = +4.0 μС are located at the corners of a triangle as shown in the figure below. Assume d = 20 cm. (a) Find the resultant force vector acting on Q3. (b) Find the magnitude and direction of the force. d Q3 60° d Q1 60° 60° Q2 darrow_forwardThree point charges of magnitudes Q₁ = +6.0 μС, Q₂ = −7.0 μС, Qз = −13.0 μC are placed on the x-axis at x = 0 cm, x = 40 cm, and x = 120 cm, respectively. What is the force on the Q3 due to the other two charges?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 LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Drawing Free-Body Diagrams With Examples; Author: The Physics Classroom;https://www.youtube.com/watch?v=3rZR7FSSidc;License: Standard Youtube License