A 500-g block is released from rest and slides down a frictionless track that begins 2.28 m above the horizontal, as shown in the figure below. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 34.5 N/m. Find the maximum distance the spring is compressed.**Diagram Explanation:**The diagram shows a track with an initial height \( h \) from which a block (mass = 500 g) is released. The block travels down the curved, frictionless track and hits a spring at the bottom. The spring is attached to a fixed surface and has a spring constant \( k = 34.5 \, \text{N/m} \). The spring is compressed as the block sticks to it, and the task is to determine the maximum compression distance.

Answered: Image /qna-images/answer/e42c826f-6e70-429f-9490-488ca7ae2949.jpg

A 500-g block is released from rest and slides down a frictionless track that begins 2.28 m above the horizontal, as shown in the figure below. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 34.5 N/m. Find the maximum distance the spring is compressed. m 500 g h

A 500-g block is released from rest and slides down a frictionless track that begins 2.28 m above the horizontal, as shown in the figure below. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 34.5 N/m. Find the maximum distance the spring is compressed. m 500 g h

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 mass m is released from rest from the top of a frictionless ramp. The mass slides down and…

A: Step 1: Consider the conservation energy of the system Since the ramp is frictionless, there will be…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 435 N/m as shown in the…

Q: A 9.5 kg block is forced against a horizontal spring, compressing the spring 0.3 m. When released,…

Q: u are asked to design spring bumpers for the walls a parking garage. A freely rolling 1300 kg car…

A: Given that, Mass of car M = 1300 kg velocity of car V = 0.63 m/sec compression in spring x = 8.1…

Q: frictionless

A: Given: Mass of the bullet = 10 g Mass of the block = 1.60 Kg Value of spring constant = 23.7 N/m…

Q: m. A single mass m, = 4.5 kg hangs from a spring in a motionless elevator. The spring is extended x…

A: m=4.5 kg x=15 cm =0.15 m Force which is causing the spring to stretch is gravitation force F=mg…

Q: A hockey puck sliding along frictionless ice with speed v to the right collides with a horizontal…

A: x1 = 1cm v1 =v, v2 =2v From conservation of energy, 1/2kx2 = 1/2mv2 So X12/x22= v12/v22

Q: A heavy block is suspended from a vertical spring. The elastic potential energy stored in the spring…

Q: A 205 g205 g object is attached to a spring that has a force constant of 77.5 N/m.77.5 N/m. The…

A: Mass of object is Force constant is Amplitude or distance traveled by object to right of equilibrium…

Q: A 1.7040 kg object is pressed into a spring. The spring constant is 309 N/m. The object is released…

Q: A spring-loaded dart gun is used to shoot a dart straight up into the air. When fully compressed,…

A: Solution

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

Q: A 10.0 kg block is released from point A in the Figure below. The track is friction-less except for…

Q: As shown in the figure below, a box of mass m = 7.40 kg is sliding across a horizontal frictionless…

Q: N A block is attached to an ideal spring with k = 200 m and initially at rest on a horizontal…

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

A: Given data: Mass (m) = 6.00 × 105 kg Initial velocity (v0) = 0.500 m/s Final velocity (v) = 0 m/s…

Q: The 3.8 kg box shown below slides down the ramp from a height of 2.4 m, and strikes the spring.…

A: mass = 3.8 kg h = 2.4 m k = 4.7 N/m

Q: m y A 1.7060 kg object is pressed into a spring. The spring constant is 355 N/m. The object is…

A: Given data: Mass (m) = 1.7060 kg Spring constant (k) = 355 N/m Height (h) = 149.0 cm = 1.490 m…

Q: The 10 kg mass has a velocity of 13 m/s and is just starting to compress a spring at position 1 then…

A: According to work energy theorem the change in energy of a system is the work done on or by the…

Q: A 215 g object is attached to a spring that has a force constant of 71.5 N/m. The object is pulled…

A: Given data The mass of the object is m = 215 g. The spring constant is given as k = 71.5 N/m. The…

Q: A child, eating a 30 cm long gummy snake which has a spring constant of 15 N/m, comes to play on the…

A: Given:- Length of the gummy snake = 30 cm = 0.3 m Spring constant of the gummy snake = k = 15 N/m…

Q: = 6. A horizontal spring has negligible mass, spring constant k 250 N/m, and is fixed at one of its…

A: As per given data, Spring constant(k) = 250N/m mass(m) = 2.5kg distance compressed (x) = 0.250m…

Q: A pogo stick stores energy by compressing a stiff spring (that is, a spring with a large value for…

Q: Two blocks (m and M) are attached to each other, while m is also fixed to a relaxed spring, as…

Q: A spring with k= 360 N/m is compressed x = 11cm by a 1.85 kg block on a horizontal table with…

A: (A) When the block is released up to its maximum compression than the velocity of the mass is zero.…

Q: Item 2 2 of 10 I Review I Constants A 2.00 kg block on a horizontal floor is attached to a…

A: Given : m = 2.00 kg x1 = 0.0360 m k = 800 N/m µk = 0.380 x2 = 0.0160 m s = 0.02 m

Q: The 10-kg block is released from rest on the horizontal surface at point B, where the spring has…

Q: 1. A red cart, m, = 12 kg sliding to the right with velocity 1.70 m/s has an elastic collision with…

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 500-g block is released from rest and slides down a frictionless track that begins 2.28 m above the horizontal, as shown in the figure below. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 34.5 N/m. Find the maximum distance the spring is compressed.

**Diagram Explanation:**
The diagram shows a track with an initial height \( h \) from which a block (mass = 500 g) is released. The block travels down the curved, frictionless track and hits a spring at the bottom. The spring is attached to a fixed surface and has a spring constant \( k = 34.5 \, \text{N/m} \). The spring is compressed as the block sticks to it, and the task is to determine the maximum compression distance.

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 2 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

At an archery event, a woman draws the string of her bow horizontally back from 0 to 0.416 m with a force that increases steadily from 0 to 800 N. Assume the bowstring is a spring. What is the spring constant of the bowstring? O 980 N/m O 2,940 N/m O 1,410 N/m O 1,920 N/m O 2,230 N/m Comma nd
Problem 1 A 1-kg block is 3 meters from a light spring. The coefficient of kinetic friction between the floor and the block is 0.25 (the coefficient of friction is the same on the entire surface). The block has a speed of 3 m/s when it hits the spring that has a force constant of 50 N/m. The block comes to rest when it has compressed the spring a maximum distance d. Find: 1. The speed of the object at the beginning of the 3 meters. 2. The value of the maximum compression d. k m
Problem 1 A block of mass m = 2 kg moves toward a spring of constant k. When it is at a distance L = 1 m from the end of the spring, it has a speed of v 4 m/s. It then hits and compresses the spring to the maximum distance x = 0.3 m. The coefficient of kinetic friction between the block and the floor is k = 0.1. Find the spring constant k. m L V ww μl k =
N 2. A horizontal spring is compressed by 25.0 cm. A 640.0 g box is then placed against the spring and then released. After travelling 3.15 m from the release point, the speed of the mass is 5.68 m/s. The coefficient of friction is 0.34. What is the spring constant of the spring? mi Tum Tm =
A 2 kg block is attached to a spring of force constant 500 N/m, as shown in the figure below. The block is pushed 10 cm to the left of equilibrium and is then released from rest. What is the speed of the block (in m/s) as it passes through equilibrium if the coefficient of friction between the block and the surface is 0.400? x= 0 Lütfen birini seçin: a. 1.3 b. 2.9 C. 4.5 d. 5.3 e. 7.9
A 10.0 g bullet is fired into and embeds itself in a 1.75 kg block attached to a spring with a spring constant of 22.0 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m
To measure the static friction coefficient between a 4.50-kg block and a vertical wallI, the setup shown in the drawing is used. A spring (spring constant = 498 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0466 m, what is the coefficient of static friction? Number i Units
k A small toy car of mass m = 0.05 kg is placed on a rough surface and compressed against a spring with spring constant k = 20 N/m. The equilibrium length of the spring is xo = 0.25 m , and it is compressed to a length of x1 between the car and the spring is f = 1 N. When the spring extends back to a 0.1 m. After the car is released, the magnitude of kinetic friction length of x2 0.2 m, what is the magnitude of the toy car's velocity? Pick the correct answer v = 2 m/s C v = 0m/s v = 3.46 m/s C v = 2.8 m/s v = 2.24 m/s
A 10.0 g bullet is fired into and embeds itself in a 1.80 kg block attached to a spring with a spring constant of 21.5 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m
In an arcade game a 0.1-kg disk is shot across a frictionless horizontal surface by compressing it against a spring and releasing it. The spring has a spring constant of 340 N/m and is compressed from its equilibrium position by 7.0 cm when the disk comes to a complete stop. Part A As the disk gets released from the spring, what will be the speed (in m/s) of the disk when the spring is compressed by 3.9 cm ?
A block of mass m=1.2 kg is attached to a horizontal spring of force constant k=75 N/m. The block is pushed, and spring is compressed, to the position 10.0 cm to the left of the equilibrium position; then, block is released. A. Neglect friction. Find the speed of the block as it passes through the equilibrium position. B. If the friction is significant and µ = 0.22, what is the speed of the block as it passes through the equilibrium position? Please show the detailed solution, Thank you
To measure the static friction coefficient between a 4.96-kg block and a vertical wall, the setup shown in the drawing is used. A spring (spring constant = 491 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0579 m, what is the coefficient of static friction? Number i Units m