A block of mass 5M is attached to a very light horizontal spring of force constant k= 100 N and is resting on a frictionless horizontal table. Suddenly it is struck by a stone of mass M traveling horizontally at speed vo =45.3 m/s to the right, after which the stone rebounds with speed vo/3 horizontally to the left. What is the speed ( in m/s) of the block of mass 5M after the collision (before the spring is compressed)? 5M M www ww

A block of mass 5M is attached to a very light horizontal spring of force constant k= 100 N and is resting on a frictionless horizontal table. Suddenly it is struck by a stone of mass M traveling horizontally at speed vo =45.3 m/s to the right, after which the stone rebounds with speed vo/3 horizontally to the left. What is the speed ( in m/s) of the block of mass 5M after the collision (before the spring is compressed)? 5M M www ww

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

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 60P: A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected...

See similar textbooks

Similar questions

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 cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected to a post by a large spring, initially unstretchcd and with force constant k = 2.00 104 N/m, as shown in Figure P8.60. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0 above the horizontal. (a) Assuming that the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on the carriage. (d) Consider the system consisting of the cannon, carriage, and projectile. Is the momentum of this system conserved during the firing? Why or why not?
A 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a 1-kg object that is initially at rest. The velocity of the 1-kg object after the collision is (a) greater than 4 m/s, (b) less than 4 m/s, (c) equal to 4 m/s, (d) zero, or (e) impossible to say based on the information provided.
A projectile of mass 2.0 kg is fired in the air at an angle of 40.0 to the horizon at a speed of 50.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0-kg part falls straight down after breakup with an initial speed of 10.0 m/s, the 0.7-kg part moves in the original forward direction, and the 0.3-kg part goes straight up. Launch a. Find the speeds of the 0.3-kg and 0.7-kg pieces immediately after the break-up. b. How high from the break-up point does the 0.3-kg piece go before coming to rest? c. Where does the 0.7-kg piece land relative to where it was fired from?
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.
Two blocks of masses m 1 and m 2 approach each other ona horizontal table with the same constant speed, v 0, as measuredby a laboratory observer. The blocks undergo a perfectlyelastic collision, and it is observed that m 1 stops but m 2 movesopposite its original motion with some constant speed, v.(a) Determine the ratio of the two masses, m 1/m 2. (b) What isthe ratio of their speeds, v/v 0?
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?
A bullet (mass of 210 grams) is shot horizontally with a velocity of 120 m/s to strike a ballistic pendulum whose mass is 3.5 kg. Assuming they swing together after the collision, determine the maximum height that the ballistic pendulum system reaches
A particle of mass m1 undergoes a one-dimensional elastic collision with a particle of mass m2 = 2m1 that is initially at rest. If particle 2 recoils at speed v2 = 1200 m/s, what is the speed of particle 1 before the collision?
In one dimension, a particle of mass m and velocity Vî collides elastically with a particle of mass 3m. After the collision, the velocity of the particle with mass m becomes -2Vi. Find the velocity vector of the 3m particle before and after the collision. Hint: K.E(i)=K.E(f) ΣP(i)=ΣP(f)
Initially resting in the xy coordinate plane's center, an item erupts into three parts. Immediately after the explosion, a piece of mass 2m travels with a velocity of v in the negative x direction, while another piece of mass 3m moves with the same velocity in the negative y direction. The third component has a mass of 4m. i. immediately after the explosion, what is the magnitude of the third particle's velocity in terms of the above variables? Beginning with momentum conservation is a good place to start. ii. Immediately after the explosion, what is the direction of motion of the third piece (as an angle relative to the positive x axis)?
In the figure, block 1 of mass mi slides from rest along a frictionless ramp from height h = 2.7 m and then collides with stationary block 2, which has mass m2 = 2m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction k is 0.55 and comes to a stop in distance d within that region. What is the value of distanced if the collision is (a) elastic and (b) completely inelastic?