Work done by cables on railroad cars

In summary, two railroad cars with equal masses are connected by cables and start from rest, accelerating to a speed of 1.9 m/s after 1 minute. The work done by cable 1 on the car in the back can be found using the formula W=F*d and the change in kinetic energy can be calculated using KE=1/2*m*v^2. To find the work done by cable 1 on the car in front (b), we can use the same formula with a negative sign. To find the work done by cable 2 on the car in front (c), we can use the formula for work and double the result of (a). The speeds of the cars, cables, and engine are all the
  • #1
acherentia
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0

Homework Statement


Two railroad cars, each of mass 1.6 104 kg, are connected by a cable to each other, and the car in front is connected by a cable to the engine as shown in the figure below. The cars start from rest and accelerate to a speed of 1.9 m/s after 1 min.

(a) Find the work done by cable 1 on the car in the back.

(b) Find the work done by cable 1 on the car in front.

(c) Find the work done by cable 2 on the car in front.

http://s966.photobucket.com/albums/ae146/acherentia/?action=view&current=6-p-011.gif

Homework Equations



W=F*d

W=delta KE

KE=1/2 m v^2

The Attempt at a Solution



FOR A I need to find the speed at which the cable 1 pulls on the car in the back. How?

B asks for the work cable 1 does on the car in front and it will be the result for A with "-" in front

FOR C I should know the work done on the car in front, which is actually the work done on the car in front, car in the back and cable between them. How do I express this?

Thank you!
 
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  • #2
The speeds of the cars, cables and engine are all the same.
Perhaps you could use E1 for the energy of the car in the back and E2 for the energy of the front car. What formula will you use to calculate E1?
 
  • #3
Hi,

i just realized the problem is really simple. a delta x= (vf^2-vi^2)/2 and that is enough to find work for a), b) is the negative result of a and c) is twice the result of a.
 

1. What is the purpose of cables on railroad cars?

Cables on railroad cars are used to pull or push the cars along the tracks. They are an essential component of train operations, allowing trains to move efficiently and safely.

2. How do cables on railroad cars work?

Cables on railroad cars are attached to a locomotive or other motorized equipment and are pulled or pushed along the tracks. The cables are made of strong, durable materials such as steel, and are able to withstand the weight and force of the cars.

3. How much weight can cables on railroad cars handle?

The weight capacity of cables on railroad cars varies depending on the type and size of the cable. Generally, they are designed to handle heavy loads and can support the weight of several fully-loaded train cars.

4. What factors affect the work done by cables on railroad cars?

The work done by cables on railroad cars is affected by several factors, including the weight of the cars, the speed of the train, the terrain and incline of the tracks, and any external forces such as wind or friction. The strength and condition of the cables also play a crucial role.

5. What are the safety measures in place for cables on railroad cars?

There are several safety measures in place to ensure the proper functioning of cables on railroad cars. These include regular maintenance and inspections of the cables, as well as strict protocols for loading and unloading train cars. Additionally, train operators and crew members are trained to handle cables safely and follow all safety protocols.

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