Two carts on a frictionless track are traveling directly toward each other. The first cart has mass m, and speed v,, the second cart has mass m, = (½)m, and speed v, = 2v,. If they collide head-on and stick together, what can you say about the total momentum and total kinetic energy of the two-cart system? Ignore friction and air resistance. ("final" refers to after the collision and "initial" refers to before the collision.) O The final momentum equals the initial momentum and the final kinetic energy equals the initial kinetic energy. O The final momentum is zero and the final kinetic energy is zero. O The final momentum is zero and the final kinetic energy equals half the initial kinetic energy O The final momentum equals half the initial momentum and the final kinetic energy equals half the initial kinetic energy. O The final momentum is zero and the final kinetic energy equals the initial kinetic energy.

Two carts on a frictionless track are traveling directly toward each other. The first cart has mass m, and speed v,, the second cart has mass m, = (½)m, and speed v, = 2v,. If they collide head-on and stick together, what can you say about the total momentum and total kinetic energy of the two-cart system? Ignore friction and air resistance. ("final" refers to after the collision and "initial" refers to before the collision.) O The final momentum equals the initial momentum and the final kinetic energy equals the initial kinetic energy. O The final momentum is zero and the final kinetic energy is zero. O The final momentum is zero and the final kinetic energy equals half the initial kinetic energy O The final momentum equals half the initial momentum and the final kinetic energy equals half the initial kinetic energy. O The final momentum is zero and the final kinetic energy equals the initial kinetic energy.

Name: Two carts on a frictionless track are traveling directly toward each
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: Two carts on a frictionless track are traveling directly toward each other. The first cart has mass m, and speed v, the second cart has mass m, = (½)m, and speed v, = 2v,. If they collide head-on and stick together, whatcan you say about the total m

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 1OQ

See similar textbooks

Similar questions

Two identical objects (such as billiard balls) have a one-dimensional collision in which one is initially motionless. After the collision, the moving object is stationary and the other moves with the same speed as the other originally had. Show that both momentum and kinetic energy are conserved.
If a rainstorm drops 1 cm of rain over an area of 10km2 in the period of 1 hour, what is the momentum of the rain that falls in one second? Assume the terminal velocity of a raindrop is 10 m/s.
In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2 = u1. If the initial kinetic energies of the two particles are equal, find the conditions on u1/u2 and m1/m2 such that m1 is at rest after the collision. Examine both cases for the sign of .
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?
A car and a large truck traveling at the same speed collide head-on and stick together. Which vehicle undergoes the larger change in the magnitude of its momentum? (a) the car (b) the truck (c) the change in the magnitude of momentum is the same for both (d) impossible to determine without more information.
A head-on, elastic collision occurs between two billiard balls of equal mass. If a red ball is traveling to the right with speed v and a blue ball is traveling to the left with speed 3v before the collision, what statement is true concerning their velocities subsequent to the collision? Neglect any effects of spin. (a) The red ball travels to the left with speed v, while the blue ball travels to the right with speed 3v. (b) The red ball travels to the left with speed v, while the blue ball continues to move to the left with a speed 2v. (c) The red ball travels to the left with speed 3v, while the blue ball travels to the right with speed v. (d) Their final velocities cannot be determined because momentum is not conserved in the collision. (e) The velocities cannot be determined without knowing the mass of each ball.
Check Your Understanding Suppose the initial velocities were not at right angles to each other. How would this change both the physical result and the mathematical analysis of the collision?
What is the average momentum of an avalanche that moves a 40-cm-thick layer of snow over an area of 100 m by 500 m over a distance of 1 km down a hill in 5.5 s? Assume a density of 350kg/m3 for the snow.
Two objects of equal mass are moving with equal and opposite velocities when they collide. Can all the kinetic energy be lost in the collision?
A particle of mass m moving along the x-axis with a velocity component +u collides head-on and sticks to a particle of mass m/3 moving along the x-axis with the velocity component −u. What is the mass M of the resulting particle?
Two skateboarders, with masses m1 = 75.0 kg and m2 = 65.0 kg, simultaneously leave the opposite sides of a frictionless half-pipe at height h = 4.00 m as shown in Figure P11.49. Assume the skateboarders undergo a completely elastic head-on collision on the horizontal segment of the half-pipe. Treating the skateboarders as particles and assuming they dont fall off their skateboards, what is the height reached by each skateboarder after the collision? FIGURE P11.49
What external force is responsible for changing the momentum of a car moving along a horizontal road?