A cart of mass m₁ = 4 kg is on frictionless surface and compressed against an ideal spring with spring constant k = 158 N/m for a distance of x = 1.08 m. After it is released, it hits a second cart of mass m₂ = 9 kg and bounces back while the second car continues traveling onto a ramp where it reaches a height of h₂ = 0.69 m. Find the magnitude of the velocity of the first cart in m/s immediately after hitting the second cart. Use g = 9.8 m/s² and retain your answer to two decimal places. k mi 0.0 m2 www m1 m2 1102 h₂

A cart of mass m₁ = 4 kg is on frictionless surface and compressed against an ideal spring with spring constant k = 158 N/m for a distance of x = 1.08 m. After it is released, it hits a second cart of mass m₂ = 9 kg and bounces back while the second car continues traveling onto a ramp where it reaches a height of h₂ = 0.69 m. Find the magnitude of the velocity of the first cart in m/s immediately after hitting the second cart. Use g = 9.8 m/s² and retain your answer to two decimal places. k mi 0.0 m2 www m1 m2 1102 h₂

Name: A cart of mass m₁ = 4 kg is on frictionless surface and compressed ag
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: A cart of mass m₁ = 4 kg is on frictionless surface and compressed against an ideal spring with spring constant k =158 N/m for a distance of x = 1.08 m. After it is released, it hits a second cart of mass m₂ = 9 kg and bounces backwhile the second c

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

There is a compressed spring between two laboratory carts of masses m1 = 145 g and m2 = 272 g. Initially, the carts are held at rest on a horizontal track as shown in figure A. The carts are released, and the cart of mass m, has velocity vi = 2.135î m/s in the positive x direction as in figure B. Assume rolling friction is negligible. m2 А. v = ? В. (a) What is the net external force on the two-cart system? (Express your answer in vector form.) N (b) Find the velocity of cart 2. (Express your answer in vector form.) V2 = m/s
A student (m = 63 kg) falls freely from rest and strikes the ground. During the collision with the ground, he comes to rest in a time of 0.040 s. The average force exerted on him by the ground is +18 000 N, where the upward direction is taken to be the positive direction. From what height did the student fall? Assume that the only force acting on him during the collision is that due to the ground.
A light spring of force constant 4.00 N/m is compressed by 8.00 cm and held between a 0.250 kg block on the left and a 0.540 kg block on the right. Both blocks are at rest on a horizontal surface. The blocks are released simultaneously so that the spring tends to push them apart. Find the maximum velocity each block attains if the coefficient of kinetic friction between each block and the surface is the following. In each case, assume that the coefficient of static friction is greater than the coefficient of kinetic friction. Let the positive direction point to the right. Hk 0.250 kg block 0.540 kg block 0.000 m/s m/s 0.100 0.497 m/s m/s m/s m/s
A bullet of mass mm = 0.0010 kgkg embeds itself in a wooden block with mass MM = 0.999 kgkg, which then compresses a spring (kkk = 130 N/mN/m ) by a distance xxx = 0.048 mm before coming to rest. The coefficient of kinetic friction between the block and table is μμ = 0.50. a. What is the initial velocity (assumed horizontal) of the bullet? Express your answer using two significant figures. b. What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block?
A block of mass 0.2 kg is launched by a spring k1= 2.0 N/m. The block moves along a frictionless horizontal table and pushes another spring, k2 = 2.3 N/m , to the maximum deflection x. If the initial deflection of the spring k1 is 0.050 m, what is the maximum deflection of spring k2? Consider that the masses of the springs are negligible.
A ball of mass 160 g is dropped from a height 1.5 m and bounces off the floor with a velocity 3.0 m/s [Up]. If the average Force on the ball from the floor is 15 N [up], for how long is the ball in contact with the floor in milliseconds?
Two objects of masses m, = 0.46 kg and m, = 0.90 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 250 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.6 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) m/s m/s a m m2
Solve the following: You have been asked to design a "ballistic spring system" to measure the speed of bullets. A spring whose spring constant is kk is suspended from the ceiling. A block of mass MM hangs from the spring. A bullet of mass mm is fired vertically upward into the bottom of the block. The spring's maximum compression dd is measured from its initial suspended position.
You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 66.5 kg. You pick up an object and drop it from rest, starting at a height of 1.02 meters above the floor, and it hits the floor 0.274 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body? 1,807 N 652.4 N 904 N 1,205 N
In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 208 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.90 kg), traveling at speed v1 = 3.50 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? eelle Number i Units
A 170-g billiard ball is shot toward an identical ball at velocity vi = 6.90 m/s.The identical ball is initially at rest. After the balls hit, one of them travels with velocity v1, f = (1.65 + 2.10) m/s. What is the velocity of the second ball after the impact? Ignore effects of friction during this process. (Express your answer in vector form.)
You have been asked to design an experiment to measure the speed of a fired bullet as part of your new job in the military sector. You decide you will use your knowledge of springs, conservation of momentum and energy to design your experiment. You decide to hang a spring with constant k vertically and attach a block of mass M to the end of the spring. The bullet of mass m is then fired vertically upward into the wooden block where it embeds into the block. You will measure the distance d that the spring is compressed and use this to find the initial speed of the bullet. A. Place the origin of your coordinate system on equilibrium position of the unstretched spring. Draw a before and after diagram of the bullet-spring system. Be sure to label any speeds, changes in length of the spring, and important information about the problem. Label the unknown bullet's speed VB. Label the unknown speed of the bullet + block system after the bullet embeds vo. B. Determine the symbolic energy…