In the figure, block 2 (mass 1.40 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 160 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.80 kg), traveling at speed v₁ = 6.00 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? 1 200000 Number i Units

In the figure, block 2 (mass 1.40 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 160 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.80 kg), traveling at speed v₁ = 6.00 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? 1 200000 Number i Units

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter11: Collisions

Section: Chapter Questions

Problem 73PQ: Three runaway train cars are moving on a frictionless, horizontal track in a railroad yard as shown...

See similar textbooks

Similar questions

A 5.00-g bullet moving with an initial speed of v = 400 m/s is fired into and passes through a 1.00-kg block as shown in Figure P8.57. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 900 N/m. The block moves d = 5.00 cm to the right after impact before being brought to rest by the spring. Find (a) the speed at which the bullet emerges from the block and (b) the amount of initial kinetic energy of the bullet that is converted into internal energy in the bullet-block system during the collision. Figure P8.57
A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.
A 5.00-g bullet moving with an initial speed of i = 400 m/s is fired into and passes through a 1.00-kg block as shown in Figure P9.89. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 900 N/m. The block moves d = 5.00 cm to the right after impact before being brought to rest by the spring. Find (a) the speed at which the bullet emerges from the block and (b) the amount of initial kinetic energy of the bullet that is converted into internal energy in the bullet-block system during the collision.
Pendulum bob 1 has mass m1. It is displaced to height h1 and released. Pendulum bob 1 elastically collides with pendulum bob 2 of mass m2 (Fig. P11.43). FIGURE P11.43 a. Find an expression for the maximum height h2 of pendulum bob 2. b. If m2 = 2.5m1 and h1 = 5.46 m, what is h2?
Three runaway train cars are moving on a frictionless, horizontal track in a railroad yard as shown in Figure P11.73. The first car, with mass m1 = 1.50 103 kg, is moving to the right with speed v1 = 10.0 m /s; the second car, with mass m2 = 2.50 103 kg, is moving to the left with speed v2 = 5.00 m/s, and the third car, with mass m3 = 1.20 103 kg, is moving to the left with speed v3 = 8.00 m /s. The three railroad cars collide at the same instant and couple, forming a train of three cars. a. What is the final velocity of the train cars immediately after the collision? b. Would the answer to part (a) change if the three cars did not collide at the same instant? Explain. FIGURE P11.73
You hold a slingshot at arms length, pull the light elastic band back to your chin, and release it to launch a pebble horizontally with speed 200 cm/s. With the same procedure, you fire a bean with speed 600 cm/s. What is the ratio of the mass of the bean to the mass of the pebble? (a) 19 (b) 13 (c) 1 (d) 3 (e) 9
A particle is suspended from a post on top of a can by a light string of length L. as shown in Figure P9.57a. The can and particle are initially moving to the right at constant speed the with the string vertical. The can suddenly comes to rest when it runs into and sticks to a bumper as shown in Figure P9.57b. The suspended panicle swings through an angle . (a) Show that the original speed of the cart can be computed from. vi=2gL(1cos) (b) If the bumper is still exerting a horizontal force on the cart when the hanging panicle is at its maximum angle forward from the vertical. at what moment does the bumper stop exerting a horizontal force?
Initially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in Figure P11.40. They are released from rest simultaneously and collide elastically in the trough of the track. If m2 = 4 m1, m1 = 0.045 kg, and h = 0.65 m, what is the velocity of each ball after the collision?
In the figure, block 2 (mass 1.70 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 218 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.70 kg), traveling at speed v1 = 3.40 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed?
A bullet of mass 9 g moving with an initialspeed 300 m/s is fired into and passes througha block of mass 3 kg, as shown in the figure.The block, initially at rest on a frictionless,horizontal surface, is connected to a spring offorce constant 976 N/m. a) If the block moves a distance 3.6 cm to theright after the bullet passed through it, findthe speed v at which the bullet emerges fromthe block.Answer in units of m/s. b) Find the magnitude of the energy lost in thecollision.Answer in units of J. I'm lost on how to answer the a-section of this question and wasn't able to reach the b-section.
In the figure, particle 1 of mass m1 = 3.4 kg slides rightward along an x axis on a frictionless floor with a speed of 4.0 m/s.When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 4.5 kg. When particle 2 then reaches a wall at xw = 73 cm, it bounces from the wall with no loss of speed. At what position on the x-axis does particle 2 then collide with particle 1?
Bob is on a sled of mass 3500 kg moving at 32 m/s. Pong is on a sled of mass 4100 kg moving at 10 m/s. They collide with each other, with the collision softened by a spring of force constant 7.1 MN/m. What is the max compression of the spring?