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
Concept explainers
Textbook Question
Chapter 4, Problem 17PQ
A If the vector components of a particle’s position moving in the xy plane as a function of time are
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A. Without finding T and N, write the acceleration of the motion a(t) to
the position vector r(t) = (1)i + (t+)j+ (t-P) k
in the form
a(t) = a, T+ an N at the value of t 1.
A. Without finding T and N, write the acceleration of the motion a(t) to
the position vector r(t) = (t?)i + (t+)j+ (t-) k
in the form
a(t) = ar T + ay N at the value of t = 1.
v sin 20
gives the distance x travelled (in feet) by a projectile launched from
32
The formula r% =
the ground, with initial velocity v (in feet/sec) and initial angle 0 (in radians or degrees).
a. Write an expression for the total differential in x.
b. Use the total differential to estimate the error in calculating the range of a projectile with
initial velocityv 100 ft/sec and initial angle 0= 50 degrees, with measurement errors of dv
= t10 ft/sec (for velocity) and d6==5 degrees (for the initial angle). (Note: remember to
use radians for the differential in 0.)
Chapter 4 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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
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
- Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length per time, and radius r has the dimension of length. Which of the following expressions may be correct? Explain your answer in each case. a. a = vr b. a = v/r c. a = v2/r d. a = v/r2arrow_forwardTwo birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.arrow_forwardIf a particles speed is always increasing, what are the possible angles between the particles velocity and acceleration?arrow_forward
- A. Without finding T and N. write the acceleration of the motion a(t) to the position vector r(t) = (t*)t + (t+ )s+ (t-) k in the form a(t) = a, T+ ax N at the value of t 1. %3!arrow_forwardProblem 2 Suppose the position of particle 1 is given by the vector r1 (4t2 i+ 2 j) and the position of particle %3D 2 is given by r2 = (2 i - t j) where t represents time. Both vectors are dimensionless. A. Find the vector R = r, - r2 which is the difference in position between the two particles at any time, and the separation at t = 2. Note that the separation is the magnitude of R. Give your answer to 3 significant figures. B. Find the vector V, which is defined as V = v1 - V2, Where v, is the velocity vector of particle 1 and v, is the velocity vector of particle 2. Note that you get the velocity vector by taking the time derivative of the position vector. Please upload file that has your initials in the file name. For example, if your initials are FDR, the name your file "Week2QuizProb1_FDR.pdf". Upload Choose a Filearrow_forwardWhich of the following statements is incorrect? O A scalar quantity specifies both the magnitude and unit. O In a coordinate system, the x-component in quadrant 1 is always positive. O A vector quantity specifies both the magnitude and direction. Distance and displacement are always equal in magnitude. O Acceleration is a rate of change of velocity.arrow_forward
- A, weather forecast states that the temperature is predicted to be -5oC the following day. Is this temperature a vector or a scalar quantity, explain.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_forwardtem b Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia. Mia is running due north with a speed of 7.00 m/s. The velocity of the ball relative to Mia is 3.70 m/s in a direction 30.0° east of south. U= 3.78 μA Part B m Submit Previous Answers Request Answer S X Incorrect; Try Again; One attempt remaining 195] ΑΣΦ ? What is the direction of the velocity of the ball relative to the ground? Express your answer in degrees. 15.12 You have already submitted this answer Enter a new answer. No credit lost. Try again. Submit Previous Answers Request Answer north of eastarrow_forward
- a. The position of an object is given by x(t) = A + B*t + C*t³ (yes, those exponents are intentional, this is NOT constant acceleration). Provided that x is measured in meters and t in seconds, what must be the units for the constants A, B, and C. b. Another position function is given by y(t) = D # E*t1 + F*t3/2). What are its velocity, and acceleration functions with time? c. Bonus: choose and declare your values for D, E and F, and make graphs of y(t), vy(t), and a,(t). Don't forget appropriate units at each step.arrow_forwardA. DRAWING AND ESTIMATING THE VECTOR COMPONENTS Sketch the given vectors; determine the direction of the two components by circling two directions (N, S, E or W). Finally indicate which component (or effect) is greatest in magnitude. 45 km, 300° 10 km, 265° 200 mi, 150° N -E W- E W- E S Components: E W N S Components: E W NS Components: E W NS Greatest magnitude? Greatest magnitude? Greatest magnitude?arrow_forwardA ball is thrown following a projectile motion.It is known that the horizontal distance (range) the ball can travel is given by R=v0²/g sin 20 ,where r is the range (in feet) ,v0 is the initial speed (in ft/s),0 is the angle of elevation the ball is thrown and g=32 ft/s² is the acceleration due to gravity. A. Express the new range in terms of the original range when an angle 0(0arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY