A certain spring is found not to obey Hooke's law, it exerts a restoring force F.(z) = -az - Bz if it is stretched or compressed, where a = 60.0 N/m and B= 18.0 N/m?. The mass of the spring is negligible. • Part A Calculate the potential energy function U(z) for this spring. Let U=0 when z0. Express your answer in terms of z. ? U(z) = Submit Request Answer • Part B An object with mass 0.900 kg on a frictionless, horizontal surface is attached to this spring. pulled a distance 1.00 m to the right (the +z- direction) to stretch the spring, and released. What is the speed of the object when it is 0.50 m to the right of the z =0 equilibrium position? Express your answer in meters per second. ? v2 = m/s Submit Reguest Answer KReturn to Assignment Provide Feedback

A certain spring is found not to obey Hooke's law, it exerts a restoring force F.(z) = -az - Bz if it is stretched or compressed, where a = 60.0 N/m and B= 18.0 N/m?. The mass of the spring is negligible. • Part A Calculate the potential energy function U(z) for this spring. Let U=0 when z0. Express your answer in terms of z. ? U(z) = Submit Request Answer • Part B An object with mass 0.900 kg on a frictionless, horizontal surface is attached to this spring. pulled a distance 1.00 m to the right (the +z- direction) to stretch the spring, and released. What is the speed of the object when it is 0.50 m to the right of the z =0 equilibrium position? Express your answer in meters per second. ? v2 = m/s Submit Reguest Answer KReturn to Assignment Provide Feedback

Name: ### Hooke's Law and Nonlinear Springs#### Problem Statement:A certain
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: ### Hooke's Law and Nonlinear Springs#### Problem Statement:A certain spring is found not to obey Hooke's law; it exerts a restoring force \( F_{x}(z) = -\alpha z - \beta z^{3} \) if it is stretched or compressed, where \( \alpha = 60.0 \, \text{N/m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A 50-g mass on the end of a spring at its equilibrium position is stretched a distance of 5.00 cm and held there by a force of 10.0 N and then suddenly let go. Assume no friction. Part A What is the speed of the mass when it returns to half of its extended position (x = 2.50 cm)? Part B What is the speed of the mass when it returns to its equilibrium position?
Ā C. ETIVATS, JOCES, TO m Completion Status: QUESTION 14 Which of the five graphs correctly shows the potential energy of a spring (spring obeys Hooke's law) as a function of its elongation X? U кк ка IV Ο.Α.Ι OB. II OC. III OD.IV OEV of three particles on which external Cove All Answs
A particle of mass m moves along the x-axis. Its potential energy at any point x is, V(x) = Vox²e¬z². Vo = constant. %3D a. Find the force on the particle. b. Find all the points on the x-axis where the particle can be in equilibrium. Determine whether each equilibrium point is stable or unstable. Sketch the potential energy and label the equilibrium points.
Computation. 46 J of work is required to stretch an ideal spring from 1.5 m beyond its rest length to 3.1 m beyond its rest length. Calculate its spring constant, k. k N/m Record your numerical answer below assuming three significant figures. Remember to include a "-" if necessary. (C ^63 10:51 PM 10/23/2022 X ¦
Kate, a bungee jumper, wants to jump off the edge of a bridge that spans a river below. Kate has a mass m, and the surface of the bridge is a height h above the water. The bungee cord, which has length L when unstretched, will first straighten and then stretch as Kate falls. Assume the following: • The bungee cord behaves as an ideal spring once it begins to stretch, with spring constant k. • Kate doesn't actually jump but simply steps off the edge of the bridge and falls straight downward. • Kate's height is negligible compared to the length of the bungee cord. Hence, she can be treated as a point particle. Use g for the magnitude of the acceleration due tog gravity. How far below the bridge will Kate eventually be hanging, once she stops oscillating and comes finally to rest? Assume that she doesn't touch the water. Express the distance in terms of quantities given in the problem introduction.
A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). c)What is the child's final speed, vf in m/s?
H, Please explain and answer this question for me:thank you! Why does the shape of the ramp not affect the Total Energy in the non-friction case and Why does the shape of the ramp affect the Total Energy in the friction case?
ΣF-a W = Fd parallel KE =-mv² v =v, +at v² – v? = 2a(x-x,) Fr = H,FN w = mg E, +W = E, GPE = mgh EPE = - kx? A C D B 11. A small block, with a mass of 4 kg, starts from rest at the top of the apparatus shown above. It then slides without friction down the incline, across the first level section, around the loop and then onto the final level section on the right. It then collides with a spring and compresses it, which momentarily brings the block to a stop. The maximum height of the incline is 5 m, the radius of the loop is 1.0 m and the spring constant is 120 N/m.
A 79 kg bike racer climbs a 1400-m-long section of road that has a slope of 4.3° Part A By how much does his gravitational potential energy change during this climb? Express your answer with the appropriate units. AU = O μÅ Value Units ?
Can you please explain the logic behind this answer? Intuition tells me it would be answer choice A.
A 1.2 kg rock is pressed up against a spring with spring constant 30 N/m and then released, causing it to slide across a frictionless horizontal surface and then to slide up a frictonless incline to a height of 20 cm. (a) Fill out the Energy Chart below to calculate the Potential and Kinetic Energy at each time point. Use g = 10 m/s? for easier calcuations. Assume Energy is Conserved throughout the problem. Scene C Scene A Scene B h3D 20 ст- Ax h = 0 Scene A Scene B Scene C | (b) What is the initial compression of the spring, Ax? PEgravity = mgh КЕ = }mv² PEspring = }k(Ax)² 2.
(Figure 1) is the force-versus-position graph for a particle moving along the x-axis. Figure Fx (N) 4 2 0 -2 -4 1 2 3 -x (m) ▼ Part A Determine the work done on the particle during the interval 0-1 m. Express your answer with the appropriate units. Wo-1 = Units You have already submitted this answer. Enter a new answer. No credit lost. Try again. Submit Part B ΠΑ W1-2 = Submit Value Previous Answers Request Answer Determine the work done on the particle during the interval 1-2 m. Express your answer with the appropriate units. μA Value Units ? www Previous Answers Request Answer ? Units input for part B