A light spring with a spring constant k = 370 N/m is attached to a vertical wall at one end and a block with a mass m = 0.582 kg at the other end. The block rests on a horizontal frictionless surface and is initially at the equilibrium length of the spring. The block is then displaced from the equilibrium position of the spring in such a manner as to stretch the spring by an amount A = 0.110 m and then released. As the block oscillates about the equilibrium position, determine the amount of work done on the block by the spring for the following segments of travel. (a) the block traveling from the equilibrium position (x = 0) to the position x = A (Enter your answer to at least two decimal places.) Wo-A (b) the block traveling from the position x = A to the equilibrium position (x = 0) (Enter your answer to at least two decimal places.) WA -o- (c) the round trip from the equilibrium position (x = 0) to the position x = A and then back to the equilibrium position Wo -A-0 Additional Materials O eBook Tutorial

A light spring with a spring constant k = 370 N/m is attached to a vertical wall at one end and a block with a mass m = 0.582 kg at the other end. The block rests on a horizontal frictionless surface and is initially at the equilibrium length of the spring. The block is then displaced from the equilibrium position of the spring in such a manner as to stretch the spring by an amount A = 0.110 m and then released. As the block oscillates about the equilibrium position, determine the amount of work done on the block by the spring for the following segments of travel. (a) the block traveling from the equilibrium position (x = 0) to the position x = A (Enter your answer to at least two decimal places.) Wo-A (b) the block traveling from the position x = A to the equilibrium position (x = 0) (Enter your answer to at least two decimal places.) WA -o- (c) the round trip from the equilibrium position (x = 0) to the position x = A and then back to the equilibrium position Wo -A-0 Additional Materials O eBook Tutorial

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

Related questions

Q: A potato of mass m = 0.26 kg hangs motionless, suspended by two strings as in the figure. Find the…

A: The mass of the potato:

Q: A block of mass 0.75 kg slides on a rough horizontal tabletop. It hits a spring and compresses it…

A: The given values are, m=0.75 kgx=5.7 cm=0.057 mk=100 N/mμk=0.25

Q: A 0.280-kg block along a horizontal track has a speed of 1.70 m/s immediately before colliding with…

A: (a). using conservation of energy, the initial kinetic energy is equal to the final spring energy.…

Q: A 1.5-kg block slides down a 10-m long ramp inclined at 60° to the horizontal. The coefficient of…

Q: A 2.4 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: Using energy conservation KE=PE stored in spring

Q: 1 of 1 Previous Answers Request Answer Submit Incorrect; Try Again; 9 attempts remaining Part D…

A: Using the conservation of energy, The spring potential energy = potential energy gained…

Q: A horizontal spring with force constant k = 680 N/m is attached to a wall at one end and to a…

Q: n object of mass 24,000 kg, moving horizontally at 0.12 m/s is brought to a halt by a spring, with a…

Q: A 30-kg child is jumping up and down on the center of a trampoline. The combined spring constant* of…

Q: The spring in a spring gun has a force constant k = 600. N/m. It is compressed 2.5 cm from its…

A: we can use the principle of conservation of energy to find the speed of ball . The potential energy…

Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

A: The spring can be stretched up to a distance of 0.073 m.Explanation:

Q: The spring is compressed a mass (m 450 g) a distance of Ax = 9.0 cm. When the mass is released from…

Q: A block of mass m = 0.32 kg is set against a spring with a spring constant of k1 = 681 N/m which has…

A: Using the conservation of energy, 12k1d12-μkmgx=12k2d22

Q: A block of mass 3.60 kg is placed against a horizontal spring of constant k = 825 N/m and pushed so…

Q: A 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the…

Q: A 2.0-kg block slides down a smooth incline, and then travels on a rough horizontal surface 0.25)…

A: mass of block (m) = 2 kg distance moved on horizontal surface (d) = 0.5 m coefficient of friction on…

Q: A horizontal spring with force constant k = 695 N/m is attached to a wall at one end and to a block…

A: spring constant (k) = 695 Nmmass (m) = 2.15 kg amplitude of motion (A) = 4 cm = 0.04 m

Q: spring laying HORIZONTALLY on a flat surface is compressed 4.5 cm (convert to m), and a ball is…

A: Given:- A spring laying in the horizontal. Displacement of the compressed spring x = 4.5 cm =…

Q: A vertical spring with a constant of 370 N/m is mounted on the floor. From directly above the…

Q: An ideal spring is used to stop blocks as they slide along a table without friction. A 0.80 kg block…

A: Given: mass of the block (m) = 0.80 kg speed (v) = 1.6 m/s…

Q: A horizontal spring is attached to a mass on a frictionless horizontal surface. The spring constant…

A: Given,

Q: 4. It just so happens that you have planned your first bungee jumping trip the week your physics…

Q: 13. A 4.50-kg child is swinging on a swing. If she is released from rest at a point 1.45 m above the…

Q: A 0.300-kg block along a horizontal track has a speed of 1.30 m/s immediately before colliding with…

A: a)Change in kinetic energy of block is the equal to the potential energy of compressed spring.

Q: Two blocks are forced together compressing a spring S between them. Block A has a mass of 0.8 kg,…

Q: A horizontal spring with force constant k = 665 N/m is attached to a wall at one end and to a…

Q: A bungee jumper steps off a bridge with zero initial velocity and falls straight down towards the…

A: The energy stored in the spring is given by U = 0.5 ky2 where, k is the spring constant and y is…

Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…

A: GIVEN: Mass of block =4 kg For the spring Work done =12kx2 where k is spring constant x…

Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

100%

A light spring with a spring constant k = 370 N/m is attached to a vertical wall at one end and a block with a mass m = 0.582 kg at the other end. The block rests on a horizontal frictionless surface and is
initially at the equilibrium length of the spring. The block is then displaced from the equilibrium position of the spring in such a manner as to stretch the spring by an amount A = 0.110 m and then released. As
the block oscillates about the equilibrium position, determine the amount of work done on the block by the spring for the following segments of travel.
(a) the block traveling from the equilibrium position (x = 0) to the position x = A (Enter your answer to at least two decimal places.)
Wo-A
(b) the block traveling from the position x = A to the equilibrium position (x = 0) (Enter your answer to at least two decimal places.)
WA -o-
(c) the round trip from the equilibrium position (x = 0) to the position x = A and then back to the equilibrium position
Wo -A-0
Additional Materials
O eBook
Tutorial

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

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 box of mass m=125 kg on a horizontal frictionless surface is pressed against (but is not attached to) an ideal spring of spring constant k=970 N/m and negligible mass, compressing the spring a distance x=0.16 m from the springs equilibrium position. After it is released, the box slides up a frictionless incline as shown in the figure. What is the maximum height the box rises when it travels up the incline before coming to rest and then sliding back down? (Use the conservation of the total mechanical energy)
A 0.200-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with a light spring of force constant 3.70 N/m located at the end of the track. (a) What is the spring's maximum compression if the track is frictionless? (b) If the track is not frictionless, would the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)? O greater O less O equal
A vertical spring with the spring constant and a 590 N/m is mounted on the floor. From directly above the spring, which is unstrained, a 0.19 kg block is dropped from rest. It collides with and sticks in the spring, which is compressed by 2.2 cm and bringing the block to a momentary halt. Assuming air resistance is negligible, From what height above the compress spring was a block dropped?
As shown in the figure below, a box of mass m = 9.80 kg is sliding across a horizontal frictionless surface with an initial speed vi = 3.70 m/s when it encounters a spring of constant k = 2250 N/m. The box comes momentarily to rest after compressing the spring some amount xc. Determine the final compression xc (in m) of the spring.
A 0.300-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with a light spring of force constant 5.25 N/m located at the end of the track. (a) What is the spring's maximum compression if the track is frictionless? If the track is not frictionless, would the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)?
A 400-g ball is thrown vertically upward at 2.0 m / s from a position that is 80 cm on a vertical spring resting on the floor. The ball rises first and then falls on the spring, whose spring constant is 400 N / m. Calculate (a) the speed of the ball as it touches the spring; (b) the maximum compression that the compressed spring undergoes by the ball. Neglect friction with air
A horizontal spring on a frictionless surface with a spring constant of 50 N/m is compressed 0.4 m away from equilibrium and it is held at rest. A 5 kg mass is attached at the end of the spring. The spring-mass system is released from rest. Calculate the kinetic energy of the mass when it is halfway back to its equilibrium position (0.2 m away).
A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other end is connected to a box. The box is pulled to the right, stretching the spring. Static friction exists between the box and the table, so when the spring is stretched only by a small amount and the box is released, the box does not move. The mass of the box is 0.75 kg, and the spring has a spring constant of 77 N/m. The coefficient of static friction between the box and the table on which it rests is us = 0.59. How far can the spring be stretched from its unstrained position without the box moving when it is released?
As shown in the figure, a 1.50 kg box is held at rest against a spring with a force constant k = 725 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction μk = 0.47 and is 6.0 cm in length. (a) Calculate the spring's potential energy in terms of d d2 (b) Calculate the magnitude of the friction force (in N). N (c) Calculate the work done by the frictional force (in J). Be sure to include the correct sign in your answer. J (d) The speed of the box is 1.9 m/s after sliding across the rough patch. Calculate the initial compression d (in cm) of the spring. cm
Problem 10: A simple pendulum with mass, m=1 kg and length, L=2.0 m is released by a push when the support string is at an angle of 450 from the vertical direction. The initial speed of the suspended mass at the release point is 3.0 m/s. (a) The maximum angle that pendulum moves in the second half of its swing is ______ (b) The mechanical energy of pendulum (measured relative to its lowest point) is ______
A horizontal spring on a frictionless surface with a spring constant of 40 N/m is compressed 0.3 m away from equilibrium and it is held at rest. A 2 kg mass is attached at the end of the spring. The spring-mass system is released from rest. Calculate the initial elastic potential energy stored in the spring before it was released.
An ideal spring with k = 8 N/m is initially compressed 0.40 m. One end is attached to a wall and the other is attached to a 1.0 kg block. The block is released from rest and slides 0.20 m on the horizontal surface before coming to rest (the spring is still compressed by 0.20 m at this time). The coefficient of kinetic friction between the block and surface is Fung Answer: 0.163 X X=0