NEET Exam > NEET Questions > The engine of a train passes an electric pole...
Start Learning for Free
The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.?
Most Upvoted Answer
The engine of a train passes an electric pole with a. Velocity u and t...
Given:
To find: Velocity with which the midpoint of the train passes the pole
Explanation:
Answer: The velocity with which the midpoint of the train passes the pole is given by v_m = u + (u*(v-u)^2)/(2L*(
- Velocity of the engine (u)
- Velocity of the last compartment (v)
- Acceleration is uniform
To find: Velocity with which the midpoint of the train passes the pole
Explanation:
- Let L be the length of the train
- Let T be the time taken to cross the pole
- Let M be the midpoint of the train
- At t = 0, the engine is at the pole and the distance between the engine and the midpoint is L/2
- Let a be the acceleration of the train
- Using the equations of motion, we have:
- v = u + a*T
- L = u*T + (1/2)*a*T^2
- Substituting v = u + a*T in the second equation, we get:
- L = u*T + (1/2)*a*(v-u)^2/a^2
- L = u*T + (v-u)^2/2a
- Substituting T = L/(v+u) in the above equation, we get:
- L = u*L/(v+u) + (v-u)^2/2a
- L*(v+u) = u*L + (v-u)^2/2a*(v+u)
- 2a*L*(v+u) = 2u*(v-u)^2 + a*(v+u)^2*L
- 2a*L*v + 2a*L*u = 2u*(v^2 - 2u*v + u^2) + a*(v^2 + 2uv + u^2)*L
- 2a*L*v - 2a*L*u = 2u*(v^2 - 2u*v + u^2) + a*(v^2 + 2uv + u^2)*L
- a*L*(v+u) = u*(v-u)^2
- a = (u*(v-u)^2)/(L*(v+u))
- Using the equation of motion, v = u + a*T, we can find the velocity of the midpoint of the train when it crosses the pole:
- v_m = u + a*(T/2)
- v_m = u + (u*(v-u)^2)/(2L*(v+u))
Answer: The velocity with which the midpoint of the train passes the pole is given by v_m = u + (u*(v-u)^2)/(2L*(
Community Answer
The engine of a train passes an electric pole with a. Velocity u and t...
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.?
Question Description
The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.?.
The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.?.
Solutions for The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.? defined & explained in the simplest way possible. Besides giving the explanation of
The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.?, a detailed solution for The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.? has been provided alongside types of The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.? theory, EduRev gives you an
ample number of questions to practice The engine of a train passes an electric pole with a. Velocity u and the last compartment of the train crosses the same pole with the velocity v. Then find the velocity with which the midpoint of the train passes the pole. Assuming acceleration to be uniform.? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup