An engine is used to pull a train of two cars out of a mine. The floor of the mine slopes upward at an angle of 30 degrees. Each car has a mass of 10^4 kg and travels without friction. The engine can exert a max force of 1.5 * 10^5 N on car Aa) The engine first accelerates the cars from rest by exerting its maximum force. What is the acceleration of the cars?b) Once the train has reached a reasonable speed, the engineer throttles back so they continue at a constant speed. Now what force does the engine exert on car A?c) What is the tension in the massless, straight chain connecting cars A and B while they are traveling at a constant speed?

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Asked Feb 7, 2019
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An engine is used to pull a train of two cars out of a mine. The floor of the mine slopes upward at an angle of 30 degrees. Each car has a mass of 10^4 kg and travels without friction. The engine can exert a max force of 1.5 * 10^5 N on car A
a) The engine first accelerates the cars from rest by exerting its maximum force. What is the acceleration of the cars?
b) Once the train has reached a reasonable speed, the engineer throttles back so they continue at a constant speed. Now what force does the engine exert on car A?
c) What is the tension in the massless, straight chain connecting cars A and B while they are traveling at a constant speed?

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Expert Answer

Step 1

It is given that the engine is pulling two cars of equal mass out of a mine. The floor of mine is a frictionless upward slope. 

Let car A connected to the engine has acceleration aA and car B has acceleration aB

We would draw a free body diagram.

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Step 2

The force exerted by engine on car A + The component of weight of Car A along the slope would be responsible for the acceleration of car A. 

Write this in form equation and substitute the values. 

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Step 3

When car A would accelerate, it would pull car B. We...

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Kinematics

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