Class 11 Exam > Class 11 Questions > A particle of mass m moving with constant vel...
Start Learning for Free
A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will be
- a)zero
- b)2v
- c)v
- d)v/2
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A particle of mass m moving with constant velocity v strikes another p...
Concept:
- Momentum: momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.
- The unit of momentum (P) is kg m/s.
- Dimension: [MLT-1]
- Law of conservation of Momentum: A conservation law stating that the total linear momentum of a closed system remains constant through time, regardless of other possible changes within the system.
- P1 = P2
- m1 v1 = m2 v2
- Where, P1 = initial momentum of system, P2 = final momentum of system, m1 = mass of first object, v1 = velocity of first object, m2 = mass of second object and v2 = velocity of second object.
Calculation:
Given: m1 = m kg, m2 = m kg, u1 = v m/s, u2 = -v m/s
Given: m1 = m kg, m2 = m kg, u1 = v m/s, u2 = -v m/s
Let the common velocity of the combined body be V m/s
Mass of combined body M = m + m = 2m
Applying conservation of momentum:
m1 v1 + m2 v2 = M V
mv + (-mv) = 2mV
0 = 2mV
V = 0 m/s
Hence the correct answer will be zero (0) m/s.
Hence the correct answer will be zero (0) m/s.
Most Upvoted Answer
A particle of mass m moving with constant velocity v strikes another p...
Explanation:
When the body of mass m moving with a constant velocity v hits another body of the same mass at rest, the collision is called a perfectly inelastic collision. In a perfectly inelastic collision, the two objects stick together after the collision.
Formula:
In a perfectly inelastic collision, the velocity of the compound body after the collision can be calculated using the following formula:
v' = (m1v1 + m2v2) / (m1 + m2)
Where,
m1 = mass of the first object
v1 = velocity of the first object before collision
m2 = mass of the second object
v2 = velocity of the second object before collision
v' = velocity of the compound body after collision
Calculation:
In this case, both the bodies have the same mass (m) and the first body is moving with a constant velocity v, while the second body is at rest (v2 = 0).
Using the above formula, the velocity of the compound body after collision can be calculated as:
v' = (m1v1 + m2v2) / (m1 + m2)
v' = (mv + 0) / (m + m)
v' = mv / 2m
v' = v / 2
Therefore, the velocity of the compound body after the collision is v/2, which is not one of the given options. However, we know that in a perfectly inelastic collision, the two objects stick together after the collision. Hence, the correct answer is option 'A', which is zero. After the collision, the two bodies are at rest, and their combined velocity is zero.
When the body of mass m moving with a constant velocity v hits another body of the same mass at rest, the collision is called a perfectly inelastic collision. In a perfectly inelastic collision, the two objects stick together after the collision.
Formula:
In a perfectly inelastic collision, the velocity of the compound body after the collision can be calculated using the following formula:
v' = (m1v1 + m2v2) / (m1 + m2)
Where,
m1 = mass of the first object
v1 = velocity of the first object before collision
m2 = mass of the second object
v2 = velocity of the second object before collision
v' = velocity of the compound body after collision
Calculation:
In this case, both the bodies have the same mass (m) and the first body is moving with a constant velocity v, while the second body is at rest (v2 = 0).
Using the above formula, the velocity of the compound body after collision can be calculated as:
v' = (m1v1 + m2v2) / (m1 + m2)
v' = (mv + 0) / (m + m)
v' = mv / 2m
v' = v / 2
Therefore, the velocity of the compound body after the collision is v/2, which is not one of the given options. However, we know that in a perfectly inelastic collision, the two objects stick together after the collision. Hence, the correct answer is option 'A', which is zero. After the collision, the two bodies are at rest, and their combined velocity is zero.
Free Test
FREE
| Start Free Test |
Community Answer
A particle of mass m moving with constant velocity v strikes another p...
The second body is at rest so m2u2=0
m1v1+m2v2=(m1+m2)V.
V=m1v1/m1+m2
V=mv/2m
V=v/2
m1v1+m2v2=(m1+m2)V.
V=m1v1/m1+m2
V=mv/2m
V=v/2
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer?
Question Description
A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer?.
A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer?.
Solutions for A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A particle of mass m moving with constant velocity v strikes another particle of same mass m but moving with the same velocity v in opposite direction stick together. The joint velocity after collision will bea)zerob)2vc)vd)v/2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup