Trains Crossing Platform and Static Objects Speed Concept: This problem involves calculating the relative speed of a train and a static object when they...
Concept:
This problem involves calculating the relative speed of a train and a static object when they cross each other on a platform.
Variables:
v_t: Velocity of the train in still water (unknown)
v_s: Velocity of the static object in still water (unknown)
d_platform: Length of the platform (given as 10 m)
d_object: Length of the static object (given as 5 m)
Solution:
Interpretation:
The train's velocity depends on both its initial velocity and the length of the platform.
The longer the platform, the greater the relative velocity of the train.
If the object's length is half the platform's length, the relative velocity will be twice the train's velocity.
If both objects move with the same velocity, they will cross the platform at the same time.
Examples:
If the train starts with a velocity of 20 m/s and the static object starts with a velocity of 10 m/s, the relative velocity would be 15 m/s.
If the platform is 10 m long, and the static object is 5 m long, the relative velocity would be 10 m/s