Learning Goal: To understand the meaning and possible applications of the work-energy theorem. Find the net work W done on the particle by the external forces during the particle's motion. In this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the work-energy theorem. We will start with a special case: a particle of mass m moving in the x direction at constant acceleration a. During a certain interval of time, the particle accelerates from vV; to vf, undergoing displacement s given by s = If Express your answer in terms of F and s. ? X•10"

Learning Goal: To understand the meaning and possible applications of the work-energy theorem. Find the net work W done on the particle by the external forces during the particle's motion. In this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the work-energy theorem. We will start with a special case: a particle of mass m moving in the x direction at constant acceleration a. During a certain interval of time, the particle accelerates from vV; to vf, undergoing displacement s given by s = If Express your answer in terms of F and s. ? X•10"

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.41P: A train moves along the tracks at a constant speed u. A woman on the train throws a ball of mass m...

See similar textbooks

Similar questions

A train moves along the tracks at a constant speed u. A woman on the train throws a ball of mass m straight ahead with a speed υ with respect to herself. (a) What is the kinetic energy gain of the ball as measured by a person on the train? (b) by a person standing by the railroad track? (c) How much work is done by the woman throwing he ball and (d) by the train?
The relationship between work done by a force resultant and change in particle kinetic energy can be derived from Newton's second law expression Fr = where ma, by dotting both sides of the equation by v. V, is the velocity of the particle or body mass-center. O True O False
Select which of the following statements are True or False. Assume Newtonian Mechanics. v A particle's kinetic eñergy can change without having any net work done it. v Less power is required while slowly lifting a box than while lifting it up quickly. vA simple machiņe cannot reduce the work required to do a task. v The speed of an object is same in all inertial reference frames. v The work done by a constant force acting on an object is equal to the magnitude of the force times the distance the object moves. The work required to lift a mass one meter depends on the speed at which it is raised.. Submit Answer Tries 0/5
Uning a cable with a tension of1410 N, a tow truck. pults a cat5.00 kmalong a horizontal roadway. Part A How much wok does the cable do on the car if it puls harizominly? Express your answer with the appropriate units. How much work doen the cable do on the car it it pult at 35 of above me hortrontal ? Express your answer with the appropriate units .
In the following, you will solve two variations of this problem. In both variations, we will assume that the ant is walking on a paper that rests on a table, and then suddenly the sheet of paper starts moving. Make sure to model your work based upon what is provided here. Namely, make sure that you include a description of your coordinate system, that you represent any velocity vectors in terms of components, and that any velocity vectors. you relate (a) In the first variation, we want to find the velocity vector for the ant relative to the paper that would result in the ant traveling due east at 2 miles per hour relative to the table. The paper is still going to move due southeast at v2 mi/hr.
Problem A new type of force was discovered by physicists with the following expression: F subscript n e w end subscript equals alpha over x plus beta e to the power of x plus 3 x to the power of 4 where alpha & beta are constants, and x is the position. The expression above was obtained from the interaction of a massless Higgs Boson (a type of particle) and a black hole. Quantum physicists then decides to design and build a machine that is able to move the Higgs Boson from x2 to x1. How much work should the machine do to achieve this feat? (For simplicity, consider that no energy is lost in the process)
Remember to include given information, basic equations, calculations, and solutions with correct units for full credit. You are NOT to use kinematics unless otherwise stated. In order to catch Ronan by surprise, Groot throws Rocket (8.50 kg) at an angle of 30.0° above the horizontal. If Groot’s arm moves through a horizontal distance of 1.75 m in the process of applying the force at the given angle, a. How much work does Groot do on Rocket if he uses a force of 1200. N to throw him? b. What speed does Rocket reach if he started from rest and the total work was created by Groot alone? c. What would be Rocket’s total range if he followed a parabolic path after release, ending at the same height from which he was thrown?
You want to analyze the motion of an object moving in one dimension under a non zero net force. What are some of the differences between using Newton's second law and using the Work‑Energy theorem to analyze this object's motion? Mark all that apply. A. Newton's Second Law provides a more precise way of determining the object's speed. B. By using the Work‑Energy theorem, we can determine the object's speed directly as a function of its position. C. The Work‑Energy theorem provides a more precise way of determining the object's speed. D. By using Newton's Second Law, we can determine the object's position and speed separately as a function of time.
1. A box of mass m,, initially at rest, is acted on by a single position and time-dependent force y F(x) = Fo sin(b?t) £ + Fo e Viŷ with b, Fo, y, constants. a. Determine the units of the constant b, F., and y1. b. Assuming your system is the book, find the work done by this force on the book as it moves from 7 = õ to i; = xf& + Y1ŷ.
ACTIVITY 4: DECODE THE MESSAGE Directions: Determine the work done by the force on a given system in the following problems. Then, decode the message. A E How much work is done How much work is done by a shopper in pushing her distance of 7.9 m under the by the force? grocery cart by a force of action of a constant force of 32.0 N through a distance of 5.6 N. How much work is JA 4.0 kg object moves a 4.5 m? done on the object? Diplacement ( E You pull your bag with a MA crate is being lifted M You must exert a force of force of 30 N parallel to the into a truck. If it is moved 4.5 N on a book to slide it ground classroom 20 m away. How 3650 J of work is done, then J of work in the process, much work will you do on how far is the crate being how far have you moved the your bag? towards your with a 2470 N force and across a table. If you do 2.7 lifted? book? S A porter pulls a 10-kg luggage along a level road for 5 m by exerting a force of 20 N at angle of 30° with the horizontal…
In a downhill ski race, your final velocity is not affected very much by getting a running start, because the initial kinetic energy is compared with the gain in gravitational potential energy on even small hillsHowever, you will finish the race much faster (which is more important ) To demonstrate this, find the final speed and the time taken for a skier who skies 62.5 m along a slope that is 22 degrees measured from horizontal , in the following situations (you may neglect friction ) A find the final speed in m/s lf the skier starting from rest B how long (in s) does it take for the skier to reach the bottom of this hill starting from rest C find the final speed in (m/s) of the skier with speed of 2.50 m/s D how long in (s) does it take for the skier to reach the bottom of this hill with a starting speed of 2.50 m/s
The tomato is dropped. What is the velocity, v, of the tomato when it hits the ground? Assume 92.7 % of the work done in Part A is transferred to kinetic energy, E, by the time the tomato hits the ground. Express your answer with the appropriate units.