Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Question
Chapter 4, Problem 86P
(a)
To determine
The proof that the magnitude of the acceleration is
(b)
To determine
The angle made by the string with the vertical and the position of the spring during the braking.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A skier traveling travelling with a magnitude of velocity v approaches a ramp that has an angle of
0. The approach to the ramp is frictionless, but there is friction on the ramp, and the coefficient
of kinetic friction between the skis and the ramp is uk. If the skier travels a distance d up the
ramp before coming to a stop, what was their initial velocity v? Your answer for v should be in
terms of d, g, uk, and 0.
น
A bicep muscle shown in Fig. P2.3 can apply a force F measured in Newtons (N) as a function of the elbow angle ϕ, measured in degrees as described by the quadratic equation F(ϕ) = 6ϕ − 0.04ϕ2.
For a bicep force of F = 200 N, solve the equation for ϕ by each of the following methods: factoring, completing the square, and the quadratic formula.
Using your solution from part (a), determine the elbow angle ϕ where the force exerted by the bicep is maximum. In addition, calculate the maximum force Fmax.
Plot F versus ϕ and clearly indicate the maximum force on the graph. Also clearly label the x-intercepts on the graph.
The distance between the vertical axes of a water-filled U pipe is 0.80 m and is fixed to a trolley. If the car speed increases from 40 km / h to 120 km / h in 10 seconds with a constant acceleration, what will be the level difference between the branches of the U pipe.
Chapter 4 Solutions
Physics for Scientists and Engineers
Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10P
Ch. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - Prob. 88PCh. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93PCh. 4 - Prob. 94PCh. 4 - Prob. 95PCh. 4 - Prob. 96PCh. 4 - Prob. 97PCh. 4 - Prob. 98P
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 block with some mass m is connected to a string that is attached to the ceiling. The block on the end of the string is going around a circular path with a constant radius r and constant speed. Applying Newton's second law to the x and y components of forces seperately in order to find the expressions for the tension of the string in terms of mass m, angle θ, and constant g.arrow_forwardA block of mass m = 10.5 kg rests on an inclined plane with a coefficient of static friction of µ, = 0.11 between the block and the plane. The inclined plane is L = 6.9 m long and it has a height of h = 3.3 m at its tallest point. Write an expression, in terms of 0, the mass m, the coefficient of static friction u, and the gravitational constant g, for the magnitude of the force due to static friction, F, just before the block begins to slide. Will the block slide?arrow_forwardThe crate shown in (Figure 1) lies on a plane tilted at an angle θθtheta = 22.5 degrees to the horizontal, with μk = 0.19. a) Determine the acceleration of the crate as it slides down the plane. b) If the crate starts from rest 8.95 mm up along the plane from its base, what will be the crate's speed when it reaches the bottom of the incline?arrow_forward
- A 4.20–kg block is set into motion up an inclined plane with an initial speed of vi = 7.60 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of θ = 30.0° to the horizontal. An inclined plane makes an angle of θ with the horizontal. A block is shown on the plane at two different positions, a distance d apart. An arrow labeled vi is above the lower position of the block, and points up and to the right, parallel to the plane. (a) For this motion, determine the change in the block's kinetic energy.J(b) For this motion, determine the change in potential energy of the block–Earth system.J(c) Determine the friction force exerted on the block (assumed to be constant).N(d) What is the coefficient of kinetic friction?arrow_forwardYou have put a sonar device at the top of a frictionless inclined plane. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. For an angle below the horizontal of 9.74°, we see that our object has slid a distance 0.54 m, as measured along the incline itself. - Calculate the height change and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o earrow_forwardCalculate the magnitude of the tension T and the angle 9 for which the eye bolt will be under a resultant downward force of 17.5 kN. Assume F = 7.5 kN, P = 8.0 kN, Ø = 21° Answers: T= i 2 KN Parrow_forward
- Consider the vector function r(t)=<cos(3t),sin(3t),t>. (a)If the position is given by r(t), find the velocity vector speed as functions of t. (b)Find the tangential and normal components of acceleration for the position function r(t).arrow_forwardA 2 kg box is against a vertical wall by a small force (f1=10n) perpendicular to the surface of the wall, and pushed upward by a force. Force applied to the box vertically. The force pushes the box and the wall. Determine the value of the applied force to keep the box moving upward at a constant velocityarrow_forwardTwo masses, m, = 2.00 kg and m2 = 7.25 kg are connected by a rope that passes over a frictionless pulley. The incline is frictionless and makes an angle 0 = 58.0° with the horizontal. Mass m, is accelerating vertically upward. What is the magnitude of the acceleration of the masses? {Consider Newton's Laws and the forces/components (+/-) on each mass, the inclined plane with no friction} O 2.95 m/s? O 5.33 m/s? O 3.91 m/s2 O 1.78 m/s2 O 4.40 m/s2arrow_forward
- The post weighing 1500 lbs is to just be vertically pulled out of the ground using two ropes as shown in the figure. One rope is subjected to a force of 600 lb and is directed at 60° from the horizontal. Determine the angle θ (degrees).arrow_forwardWhile traversing a two-lane highway, the driver observes a girl, 60 m ahead, at the edge of the traveled way of the opposite direction about to cross the road. The lane width of the traveled way is 3.5 m. The vehicle is 2 m wide and 3 m long. The speed of the vehicle is 75 kph and the walking speed of the girl is 1.5 m/s. The vehicle is traveling along the centerline of the traveled way. Asssume that the driver's PR time is 0.8 sec and the coefficient of friction between the vehicle tires and the pavement is 0.4. a. If the roadway is level, will the girl be able to corss the road safely? b. If the roadway has down grade of 0.5%, what is the coefficient of friction between the tires and the pavement required so that the driver won't hit the girl? c. Using the original coefficient of friction between vehicle tires and the pavement, at what roadway grade is the vehicle traversing such that the vehicle was just able to stop without hitting the girl?arrow_forwardWhile an elevator of mass 930 kg moves downward, the tension in the supporting cable is a constant 7730 N. Between t = 0 and t = 4.00 s, the elevator’s displacement is 5.00 m downward. What is the elevator’s speed at t = 4.00 s?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Drawing Free-Body Diagrams With Examples; Author: The Physics Classroom;https://www.youtube.com/watch?v=3rZR7FSSidc;License: Standard Youtube License