Question

A 21-car train standing on the siding is started in motion by the train’s engine. 3 cm slack is between each of the cars, which are 8 m long. The engine is tightly connected to the first car and moves at a constant speed of 25 cm/s. How much time is required for the pulse to travel the length of the train?

Answer in units of s.

Answer 1

The length of the train can be calculated by multiplying the number of cars by the length of each car and the length of the slack between them. Since there are 21 cars and 20 slacks, the total length of the train is (21 * 8 m) + (20 * 0.03 m) = 168.6 m.

To calculate the time required for the pulse to travel the length of the train, we need to know the pulse repetition frequency (PRF) of the train. However, the search results do not provide information on the PRF of a train. Therefore, we cannot accurately calculate the time required for the pulse to travel the length of the train

Hope you understand!

Answer 2

To calculate the time required for the pulse to travel the length of the train, we need to determine the total distance the pulse needs to travel and divide it by the speed of the pulse.

1. Calculate the total distance the pulse needs to travel:

• There are 21 cars in the train, and there is a 3 cm slack between each car.
• Each car is 8 m long, which is equivalent to 800 cm
• The total distance between the cars is (21 - 1) * 3 cm = 60 cm.
• The total distance the pulse needs to travel is the sum of the lengths of the cars and the distances between them:
• Total distance = (21 * 800 cm) + 60 cm = 16860 cm.

2. Calculate the time required for the pulse to travel the distance:

• The speed of the pulse is given as 25 cm/s.
• Divide the total distance by the speed to get the time:
• Time = Total distance / Speed = 16860 cm / 25 cm/s = 674.4 s.

Therefore, it would take approximately 674.4 seconds for the pulse to travel the length of the train..

Hope you understand (⁠≧⁠▽⁠≦⁠)