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Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?
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Two trains A and B of length 400 m each are moving on two parallel tra...
Gud question use equation of motion from which test u got this question
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Two trains A and B of length 400 m each are moving on two parallel tra...
Problem Statement:
Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km/h in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m/s^2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?

Given:
- Length of train A = 400 m
- Length of train B = 400 m
- Speed of both trains = 72 km/h
- Acceleration of train B = 1 m/s^2
- Time taken for the guard of B to brush past the driver of A = 50 s

Approach:
To solve this problem, we need to find the original distance between the two trains. We can use the equation of motion to calculate the distance traveled by train B in 50 seconds after accelerating.

Calculations:
1. Convert the speed of the trains from km/h to m/s:
Speed of both trains = 72 km/h = (72 * 1000) / 3600 m/s = 20 m/s

2. Calculate the distance traveled by train B in 50 seconds after accelerating:
Distance = Initial velocity * Time + 0.5 * Acceleration * Time^2
Distance = 20 m/s * 50 s + 0.5 * 1 m/s^2 * (50 s)^2
Distance = 1000 m + 0.5 * 1 m/s^2 * 2500 s^2
Distance = 1000 m + 0.5 * 1 m/s^2 * 2500 s^2
Distance = 1000 m + 1250 m
Distance = 2250 m

3. Calculate the original distance between the two trains:
Original distance = Distance traveled by train B + Length of train A
Original distance = 2250 m + 400 m
Original distance = 2650 m

Answer:
The original distance between the two trains was 2650 m.
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A cyclotron is a kind of particle accelerator invented by Ernest O. Lawrence at the University of California, Berkeley, in 1929–1930, and patented in 1932. A cyclotron accelerates charged particles along a spiral path outward from the center. The particles are guided by a static magnetic field to a spiral trajectory, and accelerated by a rapidly changing electric field (radio frequency). For this invention Lawrence received the 1939 Nobel Prize in Physics.Cyclotrons were the most efficient particle accelerator equipment until the 1950s, when the synchrotron replaced them, and are now used in science and nuclear medicine to generate particle beams.This will toss the particle out of resonance with the oscillating field which means that when the particle reaches the hole between the dees, the extremity of the dees won't change. Thus, the particle won't be accelerated further.So, Cyclotron isn't reasonable for accelerating electrons. Because of the small mass, the speed of electrons increments quickly. Similarly, because of fast relativistic variation in their mass, the electrons escape step with the oscillating electric field.Hence, option A is the correct option.

Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?
Question Description
Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?.
Solutions for Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
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