Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 2.34P
A particle is released from rest (y = 0) and falls under the influence of gravity and air resistance. Find the relationship between υ and the distance of falling y when the air resistance is equal to (a) αυ and (b) βυ2.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A cannon fires 7.5 kg shell vertically upward. The shell has an initial velocity of 40 m/s. Determine the maximum height to which it travels if (a) atmospheric resistance is neglected,(b) the atmospheric resistance is measured as R = 0.02v2N, v is the speed at any instant, measured in m/s.
A balloon is rising from the earth's surface. The ascent velocity v, = 2 (m/s) is constant. The horizontal
component of the speed of the balloon due to the wind is v, = 4y, where y is the height of the balloon from
the ground. Find the drift distance in the horizontal direction when the balloon rises y = 40 (m).
g = 10 (m/s²)
A) 150 (m)
В) 200 (m)
С) 225 (m)
D) 1600 (m)
E) 960 (m)
A 25-kg projectile is fired vertically upward from the ground. If the velocity is 35 m/s at 5 m above the ground, determine the maximum height (from the ground) in meters to which it will travel if:
a. Atmospheric resistance is neglected
b. Atmospheric resistance is measured as Fo = 8.01v? (in Newtons), where is the speed of the projectile at any instant, measured in m/s.
Chapter 2 Solutions
Classical Dynamics of Particles and Systems
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - If a projectile is fired from the origin of the...Ch. 2 - A clown is juggling four balls simultaneously....Ch. 2 - A jet fighter pilot knows he is able to withstand...Ch. 2 -
In the blizzard of ’88, a rancher was forced to...Ch. 2 - Prob. 2.7PCh. 2 - A projectile is fired with a velocity 0 such that...Ch. 2 - Consider a projectile fired vertically in a...Ch. 2 - Prob. 2.11P
Ch. 2 - A particle is projected vertically upward in a...Ch. 2 -
A particle moves in a medium under the influence...Ch. 2 - A projectile is fired with initial speed 0 at an...Ch. 2 -
A particle of mass m slides down an inclined...Ch. 2 - A particle is projected with an initial velocity 0...Ch. 2 - A strong softball player smacks the ball at a...Ch. 2 - Prob. 2.19PCh. 2 - A gun fires a projectile of mass 10 kg of the type...Ch. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - A skier weighing 90 kg starts from rest down a...Ch. 2 - A block of mass m = 1.62 kg slides down a...Ch. 2 - A child slides a block of mass 2 kg along a slick...Ch. 2 - A rope having a total mass of 0.4 kg and total...Ch. 2 - A superball of mass M and a marble of mass m are...Ch. 2 - An automobile driver traveling down an 8% grade...Ch. 2 - A student drops a water-filled balloon from the...Ch. 2 - Prob. 2.31PCh. 2 - Two blocks of unequal mass are connected by a...Ch. 2 - A particle is released from rest (y = 0) and falls...Ch. 2 - Perform the numerical calculations of Example 2.7...Ch. 2 - Prob. 2.36PCh. 2 - A particle of mass m has speed υ = α/x, where x is...Ch. 2 - The speed of a particle of mass m varies with the...Ch. 2 - A boat with initial speed υ0 is launched on a...Ch. 2 - A train moves along the tracks at a constant speed...Ch. 2 - Prob. 2.42PCh. 2 - Prob. 2.45PCh. 2 - Prob. 2.46PCh. 2 - Consider a particle moving in the region x > 0...Ch. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - According to special relativity, a particle of...Ch. 2 - Let us make the (unrealistic) assumption that a...Ch. 2 - A particle of mass m moving in one dimension has...Ch. 2 - A potato of mass 0.5 kg moves under Earth’s...Ch. 2 - Prob. 2.55P
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
- A particle is subject to uniform gravity and the linear resistance force -mKv, where K is a positive constant and v is the velocity of the body. Initially the particle is projected with speed u in a direction making an angle a with the horizontal. Which of the following is TRUE about the subsequent motion? O It has a vertical asymptote at x = u u cos(a/K) O It has a vertical asymptote at x = (u/K) cos a. O When u.K/g is small, the time of flight is (2u/g) sin(2a). O When u.K/g is small, the range is (u²/g) sin(2a). When u.K/g is small, the time of flight is 2u sin(a/g).arrow_forwardP.6-20 Given that E(x, z; t) = a,0.1 sin (10x) in air, find H(x, z; t) and B. COS (6710ºt-Bz) (V/m)arrow_forwardAssume = 36 and H = 4. Determine the x-component of H.arrow_forward
- A 15kg-particle moves in xyz-plane experience a force of F=12N i - 20N j + 10N k . Determine the acceleration vector of the particle.arrow_forwardconsider x place as P. solve this problems correctly.arrow_forwardA 2.75 kg ball is dropped straight down on a concrete floor and bounces straight up. At an instant when the ball is in contact with the floor, its acceleration is 34.0 m·s−2 upward. At that instant, calculate the force on the ball that is exerted by the floor.arrow_forward
- A motorboat and its load weigh 980 kg. Assume that the propeller force is constant and equal to 24 kg, and the water resistance is equal numerically to 1.5v kg where v is the speed at any instant in m/sec. If the boat starts from rest, then what is the speed of the motorboat at the end of 20 seconds? 2.23 m/s 4.15 m/s 4.46 m/s 3.55 m/sarrow_forwardTo assess a patient who is suspected of having heart disease, the physician must examine the cardiac function when (a) the patient is at rest with a heart beating at a normal pace, and (b) when under stress, for example, after exercise. To simulate the conditions of stress, the patient exercises by walking a treadmill to increase heart beat and sustain high levels of cardiac stress. Suppose a 50 kg patient exercises on the treadmill, angled at 30◦ from the ground, exerting a constant force of 500 N up the slope of the treadmill while running a constant velocity of 4 m/s along the treadmill for 5 minutes. The coefficient of friction of the treadmill is µs = 0.45. Determine the work done by the patient.arrow_forwardA 10-kg mass is launched vertically upward from Earth's surface with an initial velocity of vo m/s. The only force acting on the mass are gravity and atmospheric resistance proportional to the square of the speed. Assuming that the atmospheric resistance is 8 N if the speed is 2 m/s, find the time required for the mass to reach maximum altitudearrow_forward
- If a = 0.72, r = 0.24, then value of (t) is (а) 0.02 (b) 0.04 (c) 0.4 (d). 0.2arrow_forwardA 52.0 kg woman steps off of a diving platform with a height of 8.0 m and drops straight down into the water. If she reaches a depth of 5.1 m, what is the average magnitude of the resistance force Faverage exerted on her by the water? Ignore any effects due to air resistance. < Fa = average Narrow_forwardplease answer both Severar vectors in the x-y plane are shown in the tigure with their tails at the origin of the coordinate system and with a label at their heads. Two of these vectors are given in terms of the unit-vectors i and j as P = (5.80i + 2.10j) and Q = (-1.10i + 4.40j), where the numbers are measured in meters. 4. 2. 1. -1 -2 -4 -5 6-5-4-3-2-1 12 3456 X (m) Identify vectors P and Q in the figure. The label of vector P on the figure is DALIOB: 2. C 3 D: 40E: SO 6 The tabel of vector Q on the figure is OA: 1108: 21 C: 3O0: 40 E: SOF 6 An electric point charge of Q, = 8.37 nC is placed at the origin of the real axis. Another point charge of Q2 = 4.25 nC is placed at a position of p = 3.58 m on the real axis. At which position can a third point charge of q -7.61 nC be placed so that the net electrostatic force on it is zero? (in m) OA: 1.449 OB: 1.637 0C: 1.85 OD: 2.09 OE: 2.362 OF: 2.669 OG: 3.016 OH: 3.408 Submit Answer Tries 0/20 This discussion is closed. Send Feedback ()arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Gravitational Force (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=pxp1Z91S5uQ;License: Standard YouTube License, CC-BY