An amusement park features a set of light railcars, currently resting on a straight, level section of track. Each railcar has a mass of 18 kg. Ellen and her younger brother Tim are seated in two of these railcars, which are initially at rest with the rubber buffers just touching each other. Ellen's mass is 42 kg, while Tim's mass is 32 kg. Ellen pushes Tim's railcar so that it moves away with a speed of 3.0 m/s relative to the track. Assuming that the frictional forces on the railcars are small, how far the railcars will have travelled after 2.0 s?

An amusement park features a set of light railcars, currently resting on a straight, level section of track. Each railcar has a mass of 18 kg. Ellen and her younger brother Tim are seated in two of these railcars, which are initially at rest with the rubber buffers just touching each other. Ellen's mass is 42 kg, while Tim's mass is 32 kg. Ellen pushes Tim's railcar so that it moves away with a speed of 3.0 m/s relative to the track. Assuming that the frictional forces on the railcars are small, how far the railcars will have travelled after 2.0 s?

Name: An amusement park features a set of light railcars, currently resting
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: An amusement park features a set of light railcars, currently resting on a straight, level section of track. Eachrailcar has a mass of 18 kg. Ellen and her younger brother Tim are seated in two of these railcars, which areinitially at rest with the

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

NASA's Langley Research Center has been experimenting with the use of air bags to soften the landings of crew exploration vehicles (CEV) on land. What stopping time will be required in order to safely stop a 7250 kg CEV moving at 7.65 m/s with an average force of 426000 N (an average force of 6 Gs)?
The figure below shows two boxes connected to each other by a light cord that passes over a pulley with negligible friction. The box of mass m1 = 3.80 kg lies on a horizontal table with negligible friction, while the box of mass m2 = 10.3 kg hangs vertically. Two boxes labeled m1 and m2 are attached together by a cord. Box m1 lies on a horizontal table with the cord extending horizontally from its right side. The cord extends horizontally from the right side of m1 then goes over a pulley and then straight down to m2. Box m2 hangs from the cord. (a) What is the magnitude of the acceleration of each box (in m/s2)? (Here, a1 is the acceleration of m1, and a2 is the acceleration of m2.) a1 = m/s2 a2 = m/s2 (b) What is the tension in the cord (in N)? N
There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 2.8 kg and the mass ofparticle 2 is 1.96 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by:~F21(t) = Fat ˆi + Fbt3 ˆjThe initial time is ti = 4.1 s and the final time is tf = 6.8 s.Use the following values for the parameters:Fa = -18.4 N/s , Fb = 11.2 N/s3,If the y component of the impulse from 1 on 2 is -5196 N s, what is the y component of the average force from 2 on1?
There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 2.8 kg and the mass ofparticle 2 is 1.96 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by:~F21(t) = Fat ˆi + Fbt3 ˆjThe initial time is ti = 4.1 s and the final time is tf = 6.8 s.Use the following values for the parameters:Fa = -18.4 N/s , Fb = 11.2 N/s3, If the y component of the impulse from 1 on 2 is -5196 N s, what is the y component of the change in momentum forparticle 2?
An ice skater with mass = mi goes skating while carrying a bag of sand with initial mass = m0 . At one point, she gives herself a constant initial velocity v0 , and then slowly pours the sand out of the bag at a constant rate κ. Is she speeding up or slowing down? Write out an expression for the velocity as a function of time. How long does it take for her velocity to change by a factor of 2? Your answer can include mi, m0, v0, and κ.
My sister Crystal of mass M1=50kg is on an ice covered sidewalk with her dog Buster, who has mass M2=38kg. They are initially distanced d=5.00m apart. By pulling on the massless leash, my sister exerts a constant force F=30.00N on Buster, Buster slides towards her. How fast is Buster moving when he and my sister meet? (The leash is not rigid, so the distance can change between them. They also end at the same point, which means even if you cannot solve for their position, you can set them equal to one another)
A man ( mass = 100 kg) fall freely from rest and strikes the ground. During the collision with the ground, he comes to rest in a time of .2s. The average force exerted on her by the ground is + 2000 N, where the upward direction is taken to be the positive direction. A) from what height did he just fall? Assume the only force acting on him during the collision is that of the ground. B) suppose instead of the man, a 5 kg rubber ball was dropped from the same vertical distance and the ball bounced back conserving the linear momentum. What would be the velocity of the ball just when it bounced back?
Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 3.2 × 104 kg (about 32 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of km/s. As you pass the location km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of N for 23.0 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) 7₁ = m
Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 3.0 x 104 kg (about 30 tons). The rocket engines are shut off, and you're coasting along with velocity of km/s. As you pass the location km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of N for 18 s ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) m
A 2.50 kg box sits halfway up a 16.0 m long ramp that is inclined at an angle of 16.00. You shove a second box, of mass 1.50 kg, that's at the bottom of the ramp, so that it starts sliding up the ramp with a speed of 20.0 m/s. It hits the first box, sticks to it, and they both continue to slide up the ramp. The coefficient of kinetic friction between the boxes and the ramp is 0.200. Where, from the bottom of the ramp, do they come to rest?
A stationary 2.17-kg object is struck by a stick. The object experiences a horizontal force given by F = at - bt 2, where t is the time in seconds from the instant the stick first contacts the object. If a = 1,500,000 N/s and b = 20,000,000 N/s?, what is the speed of the object just after it comes away from the stick at t = 2.55 x 103 s? %3D
Two boxes, Box A and Box B, are given an initial push and start moving at equal speed along a level, frictionless surface. The Box B has twice the mass of Box A. They both slide up the same frictionless incline plane. Which box rises to a greater height? Group of answer choices A) Box A rises to the greater height because it weighs less. B)The two objects rise to the same height. C) Box B rises to the greater height because it contains more mass. D) Box A rises to the greater height because it possesses a smaller amount of kinetic energy. E) Box B rises to the greater height because it possesses a larger amount of kinetic energy.