A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.4 kg. The system is released with an initial compression of the spring of 10 cm and an initial speed of the mass of 3 m/s. (a) What is the maximum stretch during the motion?

A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.4 kg. The system is released with an initial compression of the spring of 10 cm and an initial speed of the mass of 3 m/s. (a) What is the maximum stretch during the motion?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 5P: A block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m...

See similar textbooks

Related questions

Q: A block of mass m = 2.8 kg is dropped (starting from rest) from a height h = 0.81 meters above the…

A: Consider the top of the spring as the reference line. Apply principle of conservation of energy…

Q: The properties of a spring are such that a load of 2 g produces an extension of 1.7 cm. A mass of…

A: Mass (m) = 2 g = 0.002 kg Extension in the spring's length = 1.7 cm = 0.017 m

Q: An m=20.0g object is held against the free end of a spring of constant k=25.0N/m that is compressed…

A: The time period of the object fall from the 1 m off the table Substitute all values in the above…

Q: A 2 kg block is released from rest at position 1, slides down a frictionless curve, proceeds on a…

A: As energy cannot be created or destroyed, it can only be transferred from one form to another.…

Q: A weight of 40N is placed on a horizontal plane touching one end of a horizontal spring whose other…

A: Given spring constant k= 5N/mm=5000N/m Weight of block =40N this gives mass m of block =4.08kg ~4 kg…

Q: A spring with a spring constant of 335 N/m is initially compressed by a distance of 0.045 m from its…

A: Given data: k = 335 N/m x= 0.045 m m=0.045 kg Need to determine the speed of the block.

Q: A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of…

Q: A 3.00 kg block on a horizontal floor is attached to a horizontal spring that is initially…

Q: As seen in Fig. 1, a 5.00 kg mass starts from rest at the top of a frictionless incline at heighty0=…

A: Work done by gravitational force will be = mgh Work = 5 x 9.8 x 3 =147 J Using Work energy…

Q: given by u = 0.400. How far has the spring compressed by the time the block first momentarily comes…

A: Here some of the initial kinetic energy changes into potential energy of spring and some will…

Q: If possible, express your final answer in the form u(1) = Rcos(@,t – 8). 4. A 10-kg mass is attached…

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 10 kg mass is suspended from a spring having a spring constant of 140 N/m. The mass is moved in…

A: Given,Mass, m = 10 kgSpring constant, k = 140 N/mexternal force, F(t) = 5 sintair resistance, fc =…

Q: A mass of 4.0 kg is in motion along a horizontal, frictionless surface with a speed of 2.5 m/s when…

A: Given: The mass of the object is 4 kg. The initial speed of the object is 2.5 m/s. The spring…

Q: A spring with a constant of 730 N/m is compressed by a block of mass m = 1.2 kg. When the block is…

A: m = 1.2 kg k = 730 N/m L = 0.05 m coefficient of kinetic friction = 0.44 v = 2.3 m/s Using equation…

Q: A mass on a spring rests on a horizontal frictionless surface. You displace it 8.00 cm 2) from…

Q: A vertical spring with a spring constant of 480 N/m is mounted on the floor. From directly above the…

A: The spring constant of the spring = 480 N/m.The mass of the block =0.30 kg.The compressed distance =…

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

Q: A pendulum consists of a 2 kg bob attached to a light string of length 6.0 m. The bob is struck…

Q: An elastic cord is 74 cmcm long when a weight of 72 NN hangs from it but is 80 cmcm long when a…

A: Given data: Initial length (x1) = 74 cm = 0.74 m Initial force (F1) = 72 N Final length (x2) = 80 cm…

Q: A small block of mass M = 150 g is placed on top of a larger block of mass 3M which is placed on a…

Q: A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach a maximum…

Q: A spring with a mass of 2 kg has natural length 0.5 m. A force of 25.6 N is required to maintain it…

Q: A mathematical pendulum of mass 1.0 kg and length 1.0 m is moved by an angle 60° from the vertical…

A: The energy possessed by an object in motion with a velocity v is known as the kinetic energy and is…

Q: The properties of a spring are such that a load of 10 g produces an extension of 1.4 cm. A mass of…

A: Write the expression for the force and substitute the required values to calculate the value of…

Q: A spring with a spring constant of 303 N/m is initially compressed by a distance of 0.056 m from its…

Q: A 57kg trampoline artist jumps vertically upward with a speed of 4.1m/s. If the trampoline, 3.5m…

A: Write the given values with the suitable variables. m=57 kgu=4.1 m/sh=3.5 mk=5.3×104 N/m Here, m, u,…

Q: A horizontal spring has a spring constant of 31.5 N/m. A mass of 4k g is attached to the spring and…

A: Given: The mass of the object is 4 kg. The spring constant is 31.5 N/m. The amplitude of the system…

Q: Consider an object of mass 0.150kg that is attached to a horizontal spring of spring constant 35.2…

Q: A 10-kg mass is attached to a spring, stretching it 0.7 m from its natural length. The mass is…

A: Given, Mass of spring = 10 kg Natural length of spring = 0.7 m Intial Velocity = 1 m/s Force due to…

Q: A massless spring (k=375N/m) is pulled by 0.3m from its natural length and released. The spring is…

A: Spring constant of spring k=375N/m pulled distance A=0.3m mass of the attached block m=0.5kg maximum…

Q: A block of mass m2 = 10.0 kg, at rest on a horizontal surface that has negligible friction, is…

A: using conservation of momentum mu + MV = (m +M) v 14(3.2) + 10(0) = (14+10)v v = 1.87 m/s (combined…

Q: A block of mass m = 2.(K) kg is attached to a spring of force constant k = 500 N/m as shown in…

A: Given:- A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m The block…

Q: . A small balloon containing sand with a combined mass of 98.2gg is suspended with an ideal string…

Q: The block of mass m = 1.60 kg slides along the horizontal rough plane as shown in the figure. The…

A: Given information: The mass of the block (m) = 1.60 kg The stiffness of the of the spring (k) = 30…

Q: An ornament of mass 41.4 g is attached to a vertical ideal spring with a force constant (spring…

A: When the mass is lowered and the spring stop stretching then the restoring force by the spring is…

Q: When a spring is stretched by 5 cm, its elastic potential energy is 1 J. What will its elastic…

A: Springs have a natural tendency to regain their unstretched or equilibrium position if no force is…

Q: Consider a pendulum of mass “m" attached to a spring of mass "M' that is free to move in single…

A: We know that the formula of the spring force is given as F = -kx here k is the spring constant x…

Q: A spring is attached to a block with a mass of 2.33 kg. The block is set on a rough horizonal…

Q: A wire of original length L and cross sectional area A is stretched within its elastic limit by a…

A: We are assuming that given in the question is Young’s modulus.Energy density is the energy stored…

Q: "A particle with a mass of .7 kg is attached to a horizonal spring with a force constant of 40 N/m.…

Q: If a box of 90kg is put into the trunk of a car and as a result height of the car's bumper decreases…

A: Given value--- mass = 90 kg. x = 12 cm. We have to find--- spring constant ?

Q: A spring with a mass of 2 kg has natural length 0.5 m. A force of 25.6 N is required to maintain it…

A: Mass of the spring=2 kg Natural length =0.5 m Stretched length=0.7 m Force=25.6 N

Q: A 0.35 kg mass is held against a compressed spring with a spring constant of 89 N/m. The mass is…

A: Using the work-energy theorem, Ki+Ui+Wnc=Kf+Uf0+12kx2-μmgx=12mv2+0v=kx2m-2μgx

Q: A 7.2-kg mass is hanging from the ceiling of an elevator by a spring with spring constant k = 150N/m…

Q: block of mass m= 2.00 kg is attached to a spring of force constant k =565 N/m as shown in the figure…

Q: A horizontal spring with stiffness 0.8 N/m has a relaxed length of 16 cm (0.16 m). A mass of 22…

Q: A 0.79 kg mass is held against the compressed spring and released from rest. the linear spring…

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

(a) What is the maximum stretch during the motion?

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

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 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 vibration sensor, used in testing a washing machine, consists of a cube of aluminum 1.50 cm on edge mounted on one end of a strip of spring steel (like a hacksaw blade) that lies in a vertical plane. The strips mass is small compared with that of the cube, but the strips length is large compared with the size of the cube. The other end of the strip is clamped to the frame of the washing machine that is not operating. A horizontal force of 1.43 N applied to the cube is required to hold it 2.75 cm away from its equilibrium position. If it is released, what is its frequency of vibration?
A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P7.15. The block is pulled to a position xi = 5.00 cm to the right of equilibrium and released from rest. Find the speed the block has as it passes through equilibrium if (a) the horizontal surface is frictionless and (b) the coefficient of friction between block and surface is k = 0.350. Figure P7.15
A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.
Use the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a. Write an expression for the force FH exerted by the spring on the block. b. Sketch FH versus t.
A block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m and pushed downward so that the spring is compressed by 0.100 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise?
Consider a damped harmonic oscillator. After four cycles the amplitude of the oscillator has dropped to 1/e of its initial value. Find the ratio of the frequency of the damped oscillator to its natural frequency.
Consider an undamped linear oscillator with a natural frequency ω0 = 0.5 rad/s and the step function a = 1 m/s2. Calculate and sketch the response function for an impulse forcing function acting for a time τ = 2π/ω0. Give a physical interpretation of the results.
Consider an object of mass 0.150kg that is attached to a horizontal spring of spring constant 35.2 N/m is kept on the frictionless level air track and stretched to the length of 6.50 cm.An outward initial velocity of 2.20 m/s is given to the object,so that determine the displacement of the spring between 6.50 cm and the extreme position
A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.4 kg. The system is released with an initial compression of the spring of 10 cm and an initial speed of the mass of 3 m/s. (a) What is the maximum speed during the motion?
A vertical spring with elastic constant 95 N/m is compressed by 25 cm, and an object of mass 350 g is placed on top. When released, the spring will move upward, and the object will lose contact with the spring at its uncompressed position. What is the maximum height above the uncompressed position this object will attain?
A block of mass m = 0.5 kg is attached to a spring with a force constant of 100 N/m. The assembly is on a horizontal frictionless surface. The spring is stretched a distance of A = 0.30m. At the instant it is released from this position, the magnitude of the force on the block is:
Consider a plot of the spring's compression ) as a function of the magnitude of the applied force (F) for an ideal elastic spring. The slopeof the curve would be none of the given choices Othe mass of the object attacned tot O the spring constam O the acceleration due to gravity the reciprocal of the sprng constant