Question

In: Physics

A railroad freight car rolls on a track at 2.65 m/s toward two identical coupled freight...

A railroad freight car rolls on a track at 2.65 m/s toward two identical coupled freight cars, which are rolling in the same direction as the first, but at a speed of 1.20 m/s. The first reaches the second two and all couple together. The mass of each is 2.30 ✕ 104 kg.

(a) What is the speed (in m/s) of the three coupled cars after the first couples with the other two? (Round your answer to at least two decimal places.)

(b)Find the (absolute value of the) amount of kinetic energy (in J) converted to other forms during the collision.

Solutions

Expert Solution

Let the mass of 1 railroad freight car be

Given mass,

In question 1 freight car collide and couple with 2 identical coupled freight cars.

--------

Mass of the first freight car,

Initial velocity of the first freight car,

Mass of identical coupled freight cars,

Initial velocity of the coupled freight cars,

==============

During collision momentum is conserved

Initial momentum = Final momentum

Cancel mass m

(a) ANSWER:

=================================

(b) Find the amount of kinetic energy lost during collision

Kinetic energy lost = Initial kinetic energy- Final kinetic energy.

----------

Initial kinetic energy,

----------------

Final kinetic energy,

--------------

(b) ANSWER:

=================================


Related Solutions

1. A freight car carrying sand moves along a frictionless level railroad track at constant speed....
1. A freight car carrying sand moves along a frictionless level railroad track at constant speed. An additional amount of sand is thrown straight down onto the car as it passes by a storage building. What happens to the velocity of the car? A) It decreases. B) It remains the same. C) It increases. D) cannot be determined from the information given 2. A 27g tennis ball heads straight toward a racket at 21 m/s. A player swings the racket,...
A railroad car moving at a speed of 3.20 m/s overtakes, collides, and couples with two...
A railroad car moving at a speed of 3.20 m/s overtakes, collides, and couples with two coupled railroad cars moving in the same direction at 1.20 m/s. All cars have a mass of mass 1.10 105 kg. Determine the following. (a) speed of the three coupled cars after the collision____ (Give your answer to at least two decimal places.) m/s (b) kinetic energy lost in the collision ___ J 2. A cue ball at rest on a frictionless pool table...
A railroad car of mass 18800 kg moving at 3.85 m/s collides and couples with two...
A railroad car of mass 18800 kg moving at 3.85 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 2.31 m/s. How much kinetic energy is lost in the collision? Answer in units of J.
A railroad car of mass 35000 kg moving at 4.00 m/s collides and couples with two...
A railroad car of mass 35000 kg moving at 4.00 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 2.00 m/s. a) What is the speed of the three coupled cars after the collision? b) How much kinetic energy is lost in the collision?
My Notes A 5000-kg freight car rolls along rails with negligible friction. The car is brought...
My Notes A 5000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in the figure below. Both springs are described by Hooke's law and have spring constants with k1 = 1700 N/m and k2 = 3200 N/m. After the first spring compresses a distance of 33.0 cm, the second spring acts with the first to increase the force as additional compression occurs as shown in...
A car moving due east at 6 m/s collides at the intersection with an identical car....
A car moving due east at 6 m/s collides at the intersection with an identical car. If the entangled wreckage moves at 5.5 m/s at 22 degrees north of east after the collision, what was the velocity and direction of the second car immediately before the collision? The entangled wreckage slides along the horizontal road leaving skid marks. If the coefficient of friction between the entangled wreckage and the road is 0.34, how long are the skid marks?
A railroad car of mass 2.20 ✕ 104 kg moving at 5.00 m/s collides and couples...
A railroad car of mass 2.20 ✕ 104 kg moving at 5.00 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the collision?   _________________m/s (b) How much kinetic energy is lost in the collision?   ________________J
A 4100 kg open railroad car coasts along with a constant speed of 9.90 m/s on...
A 4100 kg open railroad car coasts along with a constant speed of 9.90 m/s on a level track. Snow begins to fall vertically and fills the car at a rate of 5.00 kg/min . Ignoring friction with the tracks, what is the speed of the car after 80.0 min ?
A railroad car of mass 3.10 ✕ 10^4 kg moving at 3.50 m/s collides and couples...
A railroad car of mass 3.10 ✕ 10^4 kg moving at 3.50 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the collision? __m/s (b) How much kinetic energy is lost in the collision? __J
A solid 0.5350-kg ball rolls without slipping down a track toward a loop-the-loop of radius R...
A solid 0.5350-kg ball rolls without slipping down a track toward a loop-the-loop of radius R = 0.8150 m. What minimum translational speed vmin must the ball have when it is a height H = 1.276 m above the bottom of the loop, in order to complete the loop without falling off the track?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT