A 175m long train is travelling along a straight track with a velocity...
The bird and train are moving in opposite directions, so their relative speed is the sum of their speeds: (72 km/h + 18 km/h) = 90 km/h.
Converting this speed into meters per second, we get 90 km/h = 25 m/s in SI units.
The train is 175 meters long. To find the time taken by the bird to cross the train, we use the formula: Time = Distance/Speed.
Thus, Time = 175 m / 25 m/s = 7 seconds.
A 175m long train is travelling along a straight track with a velocity...
Understanding the Problem
To find the time taken by the bird to cross the train, we first need to determine the relative speeds of the train and the bird.
Step 1: Convert Speeds to m/s
- The train's speed: 72 km/h = (72 * 1000) / (60 * 60) = 20 m/s
- The bird's speed: 18 km/h = (18 * 1000) / (60 * 60) = 5 m/s
Step 2: Calculate Relative Speed
Since the bird is flying in the opposite direction to the train, we add their speeds to find the relative speed:
- Relative speed = Speed of train + Speed of bird
- Relative speed = 20 m/s + 5 m/s = 25 m/s
Step 3: Calculate Time to Cross the Train
The time taken to cross the train is determined by the length of the train and the relative speed:
- Length of the train = 175 m
- Time = Distance / Speed
- Time = 175 m / 25 m/s = 7 seconds
Conclusion
Therefore, the time taken by the bird to cross the train is 7 seconds, which corresponds to option 'D'.
This exercise demonstrates the importance of understanding relative motion in physics, especially in problems involving objects moving in opposite directions.