NEET Exam > NEET Questions > A car of mass M travelling with speed V colli...
Start Learning for Free
A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm?
Most Upvoted Answer
A car of mass M travelling with speed V collides with a spring having ...
Introduction:
When a car collides with a spring, the kinetic energy of the car is transferred to the spring, causing it to compress. The car comes to rest when the spring has compressed to a certain distance. In this scenario, we need to find the compression distance Xm of the spring.
Given:
- Mass of the car (M)
- Speed of the car before collision (V)
- Spring constant (K)
Explanation:
Step 1: Determine the initial kinetic energy of the car
The initial kinetic energy (KE) of the car can be calculated using the formula:
KE = 0.5 * M * V^2
Step 2: Determine the potential energy of the compressed spring
The potential energy (PE) of the compressed spring can be calculated using the formula:
PE = 0.5 * K * Xm^2
Step 3: Equate the initial kinetic energy with the potential energy of the spring
Since the energy is conserved in this collision, we can equate the initial kinetic energy with the potential energy of the spring:
0.5 * M * V^2 = 0.5 * K * Xm^2
Step 4: Solve for Xm
To find Xm, we rearrange the equation and solve for Xm:
Xm = sqrt((M * V^2) / K)
Conclusion:
The compression distance of the spring (Xm) can be determined using the equation:
Xm = sqrt((M * V^2) / K)
This equation allows us to calculate the compression distance of the spring when a car of mass M collides with it at a speed of V, given the spring constant K.
When a car collides with a spring, the kinetic energy of the car is transferred to the spring, causing it to compress. The car comes to rest when the spring has compressed to a certain distance. In this scenario, we need to find the compression distance Xm of the spring.
Given:
- Mass of the car (M)
- Speed of the car before collision (V)
- Spring constant (K)
Explanation:
Step 1: Determine the initial kinetic energy of the car
The initial kinetic energy (KE) of the car can be calculated using the formula:
KE = 0.5 * M * V^2
Step 2: Determine the potential energy of the compressed spring
The potential energy (PE) of the compressed spring can be calculated using the formula:
PE = 0.5 * K * Xm^2
Step 3: Equate the initial kinetic energy with the potential energy of the spring
Since the energy is conserved in this collision, we can equate the initial kinetic energy with the potential energy of the spring:
0.5 * M * V^2 = 0.5 * K * Xm^2
Step 4: Solve for Xm
To find Xm, we rearrange the equation and solve for Xm:
Xm = sqrt((M * V^2) / K)
Conclusion:
The compression distance of the spring (Xm) can be determined using the equation:
Xm = sqrt((M * V^2) / K)
This equation allows us to calculate the compression distance of the spring when a car of mass M collides with it at a speed of V, given the spring constant K.
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
A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm?
Question Description
A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm?.
A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm?.
Solutions for A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm? 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 A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm? defined & explained in the simplest way possible. Besides giving the explanation of
A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm?, a detailed solution for A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm? has been provided alongside types of A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm? theory, EduRev gives you an
ample number of questions to practice A car of mass M travelling with speed V collides with a spring having spring constant K the car comes to rest when spring is compressed to a distance of Xm find Xm? 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