EXAMPLE 1: Two air carts have total masses m1=320 grams and m2=195 grams. Assume that there are absolutely, positively, undoubtedly, unequivocally no frictional or other external, horizontally directed forces acting on the system of the two air carts. Initially, cart #1 is moving to the right and cart #2 is moving to the left. Cart #1 has a speed of 0.324 m/s, and Cart #2 has a speed of 0.766 m/s. Then the two carts collide and stick together. Cart 1 Photogates Cart 2 a. Using your knowledge of physics, determine the expected momentum of the system AFTER the collision. Make sure you designate which direction is positive. Remember units! (-0.0457 kg m/s, with positive being to the right) b. What is the total kinetic energy before the collision? Again, remember your units! (0.0740 J) c. Consider the KE after the collision. In this ideal experiment, do you expect it to go down, go up, or remain the same? Why? (It goes down, because anytime objects collide and stick together, KE always goes down. Method 2: Use momentum conservation to find that the velocity afterward is -0.0887 m/s, then use the KE formula to find KE of 0.00203 J. This is indeed far less KE than there was before the collision.)

EXAMPLE 1: Two air carts have total masses m1=320 grams and m2=195 grams. Assume that there are absolutely, positively, undoubtedly, unequivocally no frictional or other external, horizontally directed forces acting on the system of the two air carts. Initially, cart #1 is moving to the right and cart #2 is moving to the left. Cart #1 has a speed of 0.324 m/s, and Cart #2 has a speed of 0.766 m/s. Then the two carts collide and stick together. Cart 1 Photogates Cart 2 a. Using your knowledge of physics, determine the expected momentum of the system AFTER the collision. Make sure you designate which direction is positive. Remember units! (-0.0457 kg m/s, with positive being to the right) b. What is the total kinetic energy before the collision? Again, remember your units! (0.0740 J) c. Consider the KE after the collision. In this ideal experiment, do you expect it to go down, go up, or remain the same? Why? (It goes down, because anytime objects collide and stick together, KE always goes down. Method 2: Use momentum conservation to find that the velocity afterward is -0.0887 m/s, then use the KE formula to find KE of 0.00203 J. This is indeed far less KE than there was before the collision.)

Name: Collisions in 1-D: Linear Momentum and KEBe able to describe the type
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: Collisions in 1-D: Linear Momentum and KEBe able to describe the types of collisions (elastic and inelastic) and whether ornot momentum and/or kinetic energy is conserved for each of these.Given the masses of 2 carts on an ideal frictionless airtrac

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

Current Attempt in Progress The system of three particles has the indicated particle masses, velocities, and external forces. Determine Hc and d(Hc)/dt for this three-dimensional system. 2 1.8 m/s 14.8 N 5.1 kg 12.4 m ㅎ 3.5 m 1.7 m 13 x1.6 kg 3.1 m/s Answers: 2.0 m/s 2.0 kg --y HG = ( A i+ i j+ i k) kg.m²/s d(HG)/dt = ( i i + 1 j+ i k) kg.m²/s²
A 3.12-kg steel ball strikes a massive wall at 10.0 m/s at an angle of ? = 60.0° with the plane of the wall. It bounces off the wall with the same speed and angle (see the figure below). If the ball is in contact with the wall for 0.210 s, what is the average force exerted by the wall on the ball? magnitude N direction (direction options: +y direction, -y direction, +x direction, -x direction)
A block of mass m1 = 15.5 kg slides along a horizontal surface (with friction, μk = 0.29) a distance d = 2.65 m before striking a second block of mass m2 = 5.25 kg. The first block has an initial velocity of v = 9.25 m/s. What is the speed of m1, in m/s, right before it collides with m2? Assuming that block one stops after it collides with block two, what is block two's velocity after impact in m/s?
A 70 kg space voyager is stranded on a 700 kg escape pod that has left the main spacecraft and is floating in free space (you may assume its velocity is 0 m/s). A rescue ship is approaching and will pass within 100 m of the escape pod. The space voyager plans to push herself away from the escape pod towards the point by which the rescue ship will pass (point P in the diagram). The space voyager knows that she can apply a constant force of 100 N while she pushes for the 0.50 s it takes her to straighten her arms. (a) What will her velocity be after she has finished pushing against the rescue pod? (b) How long before the rescue ship is due to arrive a point P should the space voyager begin her push?
Three glasses are placed by a waiter on a light-weight tray. The first glass has a mass of M1 = 625 g and is located R1 = 13 cm from the center of the tray at an angle θ1 = 35 degrees above the positive x-axis. The second glass has a mass of M2 = 325 g and is located R2 = 24 cm from the center of the tray at an angle θ2 = 45 degrees below the positive x-axis. The third glass has a mass of M3 = 225 g and is located R3 = 17 cm from the center of the tray at an angle θ3 = 45 degrees above the negative x-axis. A fourth glass of mass M4 = 825 g is to be placed on the tray so that the center of mass is located at the center of the tray. Part (c) Write a symbolic equation for the vertical position from the central y-axis that the fourth glass must be placed so that the vertical center of mass of the four glasses is at the center of the tray. Part (d) Calculate the numeric value of the vertical position from the central y-axis of the fourth glass in cm. Part (e) Calculate the distance…
Dizzy is speeding along at 31.1 m/s as she approaches the level section of track near the loading dock of the Whizzer roller coaster ride. A braking system abruptly brings the 325-kg car (rider mass included) to a speed of 3.5 m/s over a distance of 5.12 meters. Determine the magnitude of the braking force (in newtons) applied to Dizzy's car.
A 480-gram ball is traveling horizontally at 11.9 m/s to the left when it is suddenly struck horizontally by a bat, causing it to reverse direction and to travel at 9.7 m/s to the right. If the bat produced an average force of 1,185 N on the ball, for how long was it in contact with the ball?
A 156 g cart moves on a horizontal, frictionlesssurface with a constant speed of 11.1 cm/s.A 60.6 g piece of modeling clay is droppedvertically onto the cart.If the clay sticks to the cart, find the finalspeed of the system.Answer in units of cm/
7. During a snowball fight, a 0.30-kilogram snowball traveling at a speed of 17.0 m/s hits a student in the back of the head. If the contact time is 0.10 s, what is the magnitude of the average force on the student's head? N ssf f60° Ossi 09 JS 50 ssf60
A 142g baseball is moving at 17.0 m / s in the + x direction. When hit with a bat by a baseball player, its final velocity is 21.0 m / s in the -x direction. The bat acts on the ball for 6.0 x 10⁻² s. What is the magnitude of the average force exerted by the bat on the ball?
A falcon with a mass m1= 1.18 kg is diving at a speed of v1= 26.1 m/s at an angle of θ= 55.6 degrees below horizontal. Note that x is horizontal and y is vertical, as shown in the diagram. A pigeon, whose mass is m2= 0.55 kg, is flying in the positive x direction at a speed of v2= 7.1 m/s. The falcon catches the pigeon, and they move as one. Neglect gravity and air resistance. Part (a) Write an expression for the x component of the final velocity. Part (b) Write an expression for the y component of the final velocity. Part (c) What is the magnitude, in meters per second, of the final velocity? Part (d) What is the angle, in degrees below the horizontal, that the final velocity makes with the x axis?
A 33-kg girl stands on a 6-kg wagon holding two 14.0-kg weights. She throws the weights horizontally off the back of the wagon at a speed of 8.0 m/s relative to herself. weight. girl + wagon MOHOHOHOHOHOHOOOOOOOO Assuming that the wagon was at rest initially, what is the speed of the girl after she throws both weights at the same time? Assuming that the wagon was at rest initially, what is the speed with which the girl will move after she throws the weights one at a time, each with a speed of 8.0 m/s relative to herself?