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°. Each car has a mass of 104 kg and normally travels without friction on the tracks. The engine can exert a maximum force of 1.5 · 105 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 that 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 travelling at a constant speed? d. If the engineer again throttles back so that the force exerted by the engine on car A decreases at the constant rate of 3N per second, how long before the train stops moving up the track? Assume the original speed was 3 meters per second.

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7. 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°. Each car has a mass of 104 kg and normally travels
without friction on the tracks. The engine can exert a maximum force of 1.5 · 105 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
that 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 travelling at a constant speed?
d. If the engineer again throttles back so that the force exerted by the engine on
car A decreases at the constant rate of 3N per second, how long before the train
stops moving up the track? Assume the original speed was 3 meters per second.
A
В
e=30°
Transcribed Image Text:7. 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°. Each car has a mass of 104 kg and normally travels without friction on the tracks. The engine can exert a maximum force of 1.5 · 105 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 that 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 travelling at a constant speed? d. If the engineer again throttles back so that the force exerted by the engine on car A decreases at the constant rate of 3N per second, how long before the train stops moving up the track? Assume the original speed was 3 meters per second. A В e=30°
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