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
Videos
Textbook Question
Chapter 2, Problem 2.15P
A particle of mass m slides down an inclined plane under the influence of gravity. If the motion is resisted by a force f = kmυ2, show that the time required to move a distance d after starting from rest is
where θ is the angle of inclination of the plane.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
When a mass M experiences a velocity change of v in a time of t, it experiences a force of F. Assuming the same velocity change of v, the force experienced by a mass of (1/2)M in a time of (1/2)t is ____.
a. 2F
b. 4F
c. (1/2)*F
d. (1/4)*F
e. none of these
A runner of mass 62.0 kg initially moves at a speed of 8.05 m/s.How long must an average external force of 1.60* 10^2 N act to bring the runner to rest?
Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk=μkN)fk=μkN) is a=g(sinθ−μkcosθ).a=g(sinθ−μkcosθ). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (μk=0).(μk=0).
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 of mass 3 kg is moving with constant velocity of magnitude 10 m/s for 20s. The magnitude of the resultant force acting on the particle is: B) 1.5N B) 3 N C) 6 N D) 0 Narrow_forwardA 3.5 kg particle moves along an x axis according to x(t) = −12 + 5t2 − 4t3, with xin meters and t in seconds. In unit-vector notation, what is the net force acting on theparticle at t = 6 s?arrow_forwardYou drive an automobile of mass 2.10 x 103 kg from sea level to the top of a mountain 2.05 km high. What is its change in weight?arrow_forward
- Suppose that a projectile of mass m moves in a verticalplane in the atmosphere near the surface of the earth underthe influence of two forces: a downward gravitationalforce of magnitude mg, and a resistive force FR that isdirected opposite to the velocity vector v and has magnitudek v2 (where v = |v| is the speed of the projectile;see Fig. 4.1.15). Show that the equations of motion of theprojectile are mx'' = -kvx' , my'' = -kvy' -mg,arrow_forwardA 2500 kilogram truck is moving initially with a velocity of 10.00 meters per second. To change its velocity from 10.00 meters per second to 20.00 meters per second in a duration of 2.00 seconds, how much Force must be applied? 7500 N 12500 N 14700 N 3750 Narrow_forwardA kg mass is travelling with a constant speed of 5 m/s it is brought to rest in 2 seconds. The average force acting on it to bring it to rest is (a) 1.6 N (b) 2.5 N (c) 10.0 N (d) 40. 0 Narrow_forward
- An object of mass mm is initially at rest. After a force of magnitude F acts on it for a time T, the object has a speed v. Suppose the mass of the object is doubled, and the magnitude of the force acting on it is quadrupled. In terms of T, how long does it take for the object to accelerate from rest to a speed v now?arrow_forwardIf a 0.50 kg block initially at rest on a frictionless, horizontal surface is acted upon by a force of 4.2 N for a distance of 4.3 m, then what would be the block's velocity (in m/s)?arrow_forwardm = 8 kg v0 = 6 m/s F = 12 N the box reaches 10 m in 1.4 seconds If you wanted the box to reach a distance of x = 10 m in 0.761 seconds, to what value would you change the force (in N)?arrow_forward
- A certain cable of an elevator is designed to exert a force of 4.5 × 10^4 N. If the maximum acceleration that a loaded car can withstand is 3.5 m/s2, what is the combined mass of the car and its contents?arrow_forwardAn astronaut moves in space with a constant speed. If he is far from the influence of gravity of any star or planet, what is the minimum force required in order for him to keep on moving? a) force equal to its weight b) force equal to its mass c) force depending on its speed d) zeroarrow_forwardA 2500 kilogram truck is moving initially with a velocity of 10.00 meters per second. To change its velocity from 10.00 meters per second to 20.00 meters per second in a duration of 2.00 seconds, how much Force must be applied?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
Newton's Third Law of Motion: Action and Reaction; Author: Professor Dave explains;https://www.youtube.com/watch?v=y61_VPKH2B4;License: Standard YouTube License, CC-BY