Answered: A mass attached to a spring has 4 J of…

Name: A mass attached to a spring has 4 J of potential energy when stretche
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: A mass attached to a spring has 4 J of potential energy when stretched to its fullamplitude. The kinetic energy of the mass halfway to equilibrium isO A) less than 4 JB)more than 4Jequal to 4 J

Science

Physics

A mass attached to a spring has 4 J of potential energy when stretched to its full amplitude. The kinetic energy of the mass halfway to equilibrium is

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 block attached to a horizontal spring that has a spring constant of 18 N/m oscillates between x = - 0.68 m and x = 0.68 m on a frictionless surface as shown. What is the kinetic energy of the block when its position is at x = 0, in Joules?
Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9), then the frequency of oscillation of a simple pendulum in that place, f, as compared to its frequency on earth is: f = 9f O f= f/3 O f= 2f O f= f/2 A block of mass m 5 Kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring tótal mechanical energy is 22.5 J. The maximum velocity of block. ymax, is:
A particle that can move along the x-axis is part of a system with potential energy U(x) = A x 2 − B x , where A and B are positive constants. (a) Make a sketch of U(x) vs x. (b) Where are the particle’s equilibrium positions? (You may neglect the “point” where x is very large) (c) Describe how a particle would move if given small displacements from the equilibrium positions. For each of the points you identified in Part A, identify if it is a point of stable or unstable equilibrium.
A mass of 4.0 kg traveling at 5.0 m/s along a smooth, horizontal plane hits a relaxed spring. The mass is slowed to zero velocity when the spring has been compressed by 0.18 m. What is the final spring force when the mass is stopped?
A linear spring is compressed by 0.135 m from its equilibrium position. If it stores 6.1 J of energy in this state, what is its spring constant?
hass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position. (a) Find the position x of the mass at the timest= 1/12, 1/8, 1/6, 11/4, and 91/32 s. (Use g = 32 ft/s? for the acceleration due to gravity.) x(n/12) = ft x(n/8) = ft x(п/6) — ft x(п/4) — ft x(9n/32) ft (b) What is the velocity of the mass when t = 3t/16 s? ft/s In which direction is the mass heading at this instant? O downward O upward (c) At what times does the mass pass through the equilibrium position? п 3D 0, 1, 2, ..
A mass of 0.69 kg is is initially traveling at 6.19 m/s across a horizontal, frictionless surface. It then reaches a spring with a fixed end having a spring constant of 334 N/m that is positioned horizontally and initially at equilibrium. The incoming mass will then contact the spring, compressing it as it comes to rest. What is the speed of the mass upon the spring being compressed by 0.173 m from its equilibrium position?
A horizontal spring has a 2.00 kg mass attached at the end is stretched 10 cm. The mass has a maximum acceleration of 1.75 m/s2. (a) How long will it take to reach the maximum compression point? (b) What is the total mechanical energy of the spring?
Using the spring force, F = -kx, calculate: a) The work done by an external force stretching the spring a distance L away from the equilibrium length. b) At a stretch length L, how much potential energy is stored in the spring? If a mass m is attached to the spring and released from a stretch length L, what is the maximum velocity c) of the mass? d) At what x coordinate does this maximum velocity occur?
A 7.0 kg block on a horizontal, frictionless surface is attached to a light spring (force constant = 1.2 kN/m). The block is initially at rest at its equilibrium position when a force of magnitude P acting parallel to the surface is applied to the block, as shown. When the block is 8.0 cm from the equilibrium position, it has a speed of 0.80 m/s. How much work is done on the block by the force P as the block moves the 8.0 cm? A. 7.4 J B. 5.4J C. 6.1J D. 6.7J E. 4.9J
Please answer questions 3, 4 and 5! A 780 g object is hung from a spring with a force constant of 30 N/m. What is the displacement of the spring from equilibrium length if it is hanging vertically Now, the mass in question a is being pulled downward by an additional 9 cm. What is the potential energy? You release the object, what is the period of oscillation of the mass/spring system? Using yt=Acos(wt), what is the expression of the vertical motion along the y-axis? What is the maximum speed of the oscillating object? What is the maximum kinetic energy? Do these values make sense from the values in part b?
A 1 kg block on a spring is stretched out 0.5 meters. What will its speed be when it reaches its equilibrium point? The spring constant is 100N/m ?