Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
1st Edition
ISBN: 9781305259836
Author: Debora M. Katz
Publisher: Cengage Learning
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Chapter 4.8, Problem 4.7CE
To determine
If an airplane flies from city A to B then which speed ground speed or air speed needed to determine the flight time.
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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
Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
Ch. 4.1 - CASE STUDY How Many Dimensions? In each case,...Ch. 4.2 - Based on the particles motion diagram in Figure...Ch. 4.3 - Prob. 4.3CECh. 4.5 - Prob. 4.4CECh. 4.5 - Prob. 4.5CECh. 4.6 - A particle travels at a uniform linear speed...Ch. 4.8 - Prob. 4.7CECh. 4 - Prob. 1PQCh. 4 - In each case, determine whether the object is...Ch. 4 - CASE STUDY Imagine an indoor tennis court on a...
Ch. 4 - A basketball player dribbles the ball while...Ch. 4 - A motion diagram of a bouncing ball is shown in...Ch. 4 - Prob. 6PQCh. 4 - Prob. 7PQCh. 4 - Figure P4.8 shows the motion diagram of two balls,...Ch. 4 - Prob. 9PQCh. 4 - Prob. 10PQCh. 4 - Prob. 11PQCh. 4 - If a particles speed is always increasing, what...Ch. 4 - Prob. 13PQCh. 4 - An aircraft flies at constant altitude (with...Ch. 4 - A glider is initially moving at a constant height...Ch. 4 - If the vector components of the position of a...Ch. 4 - A If the vector components of a particles position...Ch. 4 - Prob. 18PQCh. 4 - A The spiral is an example of a mathematical form...Ch. 4 - A circus performer stands on a platform and throws...Ch. 4 - Anthony carelessly rolls his toy car off a...Ch. 4 - A physics student stands on a second-story balcony...Ch. 4 - During the battle of Bunker Hill, Colonel William...Ch. 4 - A During the battle of Bunker Hill, Colonel...Ch. 4 - A softball is hit with an initial velocity of 29.0...Ch. 4 - Figure P4.8 shows the motion diagram of two balls....Ch. 4 - A circus performer throws an apple toward a hoop...Ch. 4 - An arrow is fired with initial velocity v0 at an...Ch. 4 - A rock is thrown horizontally off a 56.0-m-high...Ch. 4 - A projectile is launched up and to the right over...Ch. 4 - Sienna tosses a ball from the window of her...Ch. 4 - Some cats can be trained to jump from one location...Ch. 4 - Dock diving is a great form of athletic...Ch. 4 - A graduate student discovers that the only...Ch. 4 - The bola is a traditional weapon used for tripping...Ch. 4 - In three different driving tests, a car moves with...Ch. 4 - A child swings a tennis ball attached to a 0.750-m...Ch. 4 - A Two particles A and B move at a constant speed...Ch. 4 - Prob. 39PQCh. 4 - Prob. 40PQCh. 4 - Prob. 41PQCh. 4 - A pendulum constructed with a bowling ball at the...Ch. 4 - Prob. 43PQCh. 4 - Prob. 44PQCh. 4 - Pete and Sue, two reckless teenage drivers, are...Ch. 4 - Prob. 46PQCh. 4 - Prob. 47PQCh. 4 - A brother and sister, Alan and Beth, have just...Ch. 4 - A man paddles a canoe in a long, straight section...Ch. 4 - Prob. 50PQCh. 4 - Prob. 51PQCh. 4 - Prob. 52PQCh. 4 - Suppose at one point along the Nile River a...Ch. 4 - Prob. 54PQCh. 4 - Prob. 55PQCh. 4 - Prob. 56PQCh. 4 - Prob. 57PQCh. 4 - Two bicyclists in a sprint race begin from rest...Ch. 4 - A particle has a nonzero acceleration and a...Ch. 4 - A golfer hits his approach shot at an angle of...Ch. 4 - You are watching a friend practice archery when he...Ch. 4 - Prob. 62PQCh. 4 - Prob. 63PQCh. 4 - David Beckham has lined up for one of his famous...Ch. 4 - Prob. 65PQCh. 4 - Prob. 66PQCh. 4 - Prob. 67PQCh. 4 - Frequently, a weapon must be fired at a target...Ch. 4 - Prob. 69PQCh. 4 - Prob. 70PQCh. 4 - Prob. 71PQCh. 4 - An observer sitting on a park bench watches a...Ch. 4 - Prob. 73PQCh. 4 - Prob. 74PQCh. 4 - Prob. 75PQCh. 4 - Prob. 76PQCh. 4 - Prob. 77PQCh. 4 - Prob. 78PQCh. 4 - A circus cat has been trained to leap off a...Ch. 4 - Prob. 80PQCh. 4 - An experimentalist in a laboratory finds that a...Ch. 4 - Prob. 82PQ
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- 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
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- 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
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