**Physics Problem: Spring Compression with Friction**A block of mass \( m = 4.90 \, \text{kg} \) slides along a horizontal table with an initial velocity \( v_0 = 4.00 \, \text{m/s} \). At position \( x = 0 \), it hits a spring with a spring constant \( k = 40.00 \, \text{N/m} \) and simultaneously begins to experience a friction force. The coefficient of friction is given by \( \mu = 0.300 \).**Problem Statement:**How far is the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.**Answer:**\[ \Delta x = \, \text{(to be calculated)} \, \text{m} \]**Diagram Explanation:**The accompanying diagram represents the physical scenario:- **Top Image:** - The block, shown in red, is moving toward the spring. - The spring is shown in gray, attached to the right end. - The initial velocity \( v_0 \) is depicted by a green arrow pointing to the right.- **Bottom Image:** - The block is shown compressing the spring. - The distance \( \Delta x \) is labeled, representing the compression distance of the spring when the block comes to rest momentarily.This problem involves energy conservation principles and friction. As the block compresses the spring, kinetic energy is converted into potential energy stored in the spring while also overcoming the work done against friction.

Answered: Image /qna-images/answer/42d84b48-24c0-487a-8f5c-029743eeed1f.jpg

A block of mass m = 4.90 kg slides along a horizontal table with velocity vo = 4.00 m/s. At x = 0, it hits a spring with www Vo spring constant k = 40.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by u = 0.300. How far has the spring compressed by the time %3D Ar the block first momentarily comes to rest? Assume the positive direction is to the right. Ax = m

A block of mass m = 4.90 kg slides along a horizontal table with velocity vo = 4.00 m/s. At x = 0, it hits a spring with www Vo spring constant k = 40.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by u = 0.300. How far has the spring compressed by the time %3D Ar the block first momentarily comes to rest? Assume the positive direction is to the right. Ax = 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 carriage hits a safety stop at a speed Vo = 3.25 m/s and is completely immobilized by Cinear springs which dece ler ahon expressed -k, x - k2 repres ents compression of the springs starhing from the posihion, and k,. and k, positive cons tanks , Pf the block non of a has cause d by a 3 k, x°, where x the magnitude of the Sprir unde formed kz are maximum com pression of and the the springs speed at the midpoint of is H75`mm deformahion is 2.85 m/s coilculate the constants k, anod le, and ba by spe cifying Hheir units.
A block of mass m on a frictionless surface is attached to a massless spring of constant k, When theblock is at x = 0, the spring is neither stretched nor compressed.At time ti the block is released from rest at x = xi . At time tf theblock passes x = 0 moving to the left with speed vf
A particle has initial velocity vo friction. At which second the particle has velocity v = 3i – 0.2j (m/s)? 3i + j (m/s). Assume that there is no air
A crate of mass m1 slides down a well-lubricated hill of height h, with negligible friction. At the bottom, where it is moving horizontally, it collides with another crate, of mass m2, that initially was sitting at rest and that is attached to a wall by a spring of spring constant k that initially is at its equilibrium length. Assume that the spring itself has negligible mass. a)Given that the distance d that the crates compress the spring is d=0.35 m, calculate the speed v2 of the crates immediately after the collision, in units of meters per second. Use the following values:k=950 N/mm1=2.4 kgm2=2.6 kgμ=0.49g=9.8 m/s2 b) What was the speed of the crate of mass m1 just before the collision with the second block, in meters per second? c)What is the height h of the hill, in meters?
Consider a Hot Wheels™ car with a mass of 121 g, that is pushed by a student along a track so that it is moving at 5 m/s. It hits a spring (k = 92.5 N/m) at the end of the track, causing it to compress. How far did the spring compress to bring the car to a stop? Calculate the answer in cm and make sure to include the unit. Report your final answer with three significant figures.
Vf A bale of cardboard to be recycled thrown down an incline (0 = 25°) at A with a velocity of 1.30 m/s. The bale slides along the surface ABC to a conveyor belt that moves with a velocity of 1.75 m/s. The distance along the inclined surface is dab = 7.0 m and the flat surface dBc = - 5 m. The coefficient of kinetic friction is k 0.25 between the bale and all surfaces. 0 = B dBc Determine: (a) the speed of the bale at C (b) the distance the bale slides on the conveyor belt before it comes to rest relative to the belt. dAB T 1 Vi A
Sam, whose mass is 74.0 kg, takes off across level snow on his jet-powered skis. The skis have a thrust of 220.0 N and a coefficient of kinetic friction wtih the snow of 0.07. Unfortunately, the skis run out of fuel after only 11.5 seconds. What Sam's top speed (in m/s) assuming that the acceleration due to gravity is 9.80 m/s2? How far (in m) has Sam traveled when he finally coasts to a stop?
Jum The mass of the block depicted in the image is 1.60 kg. The spring has a spring constant of 76.9 N/m. The coefficient of static friction between the block and the floor is 0.726. Assume that the spring makes no contact with the floor and therefore friction only acts on the block. How far must the block and spring assembly be compressed to just barely overcome the force of static friction acting on the block? Report your result in meters.
A vertical spring of stiffness k is attached to the top of a block of mass m. At t = 0 the top end of the initially unstretched spring is started to be pulled upwards with constant velocity v, as it can be seen in the figure. When does the speed of the body become maximal first, and what is this maximal value?
A mass of m = 0.500 kg slides across a horizontal frictionless counter with a speed vo= 0.300 m/s. It then runs into and compresses a spring of spring constant k-750 N/m. ୪୪୪୩ d O Weight, Normal, Spring Force, Friction O Weight, Spring Force, Friction O Weight, Normal, Spring Force O Weight, Normal, Friction Physics Principles (a) Pick all forces act on the spring-mass system as the mass compresses the spring. (b) Which of these forces do not do any work? C C -VO Weight, Normal Force, Spring Force Weight, Normal Force Normal, Spring Force Weight, Friction m
A child sits in a wagon with a pile of0.34-kg rocks. If she can throw each rock with a speed of 9.5 m>srelative to the ground, causing the wagon to move, how manyrocks must she throw per minute to maintain a constant averagespeed against a 3.4-N force of friction?
If the diesel engine coasts at 6.0 km/hkm/h into a freight car that is initially at rest, find the speed of the coupled cars. Express your answer to two significant figures and include the appropriate units.