GATE Exam > GATE Questions > A mass 1 m of 100 kg travelling with a unifor...
Start Learning for Free
A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m2 of 1000 kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is
- a)0.6
- b)0.1
- c)0.01
- d)0
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along...
Most Upvoted Answer
A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along...
Collision of two masses
We have two masses, m1 and m2, where m1 is travelling with a uniform velocity of 5 m/s along a line and m2 is stationary.
Collision occurs
When the two masses collide, there is a transfer of momentum between them. We can use the conservation of momentum principle to determine the velocity of the two masses after the collision.
Conservation of momentum
According to the conservation of momentum principle, the total momentum of the system before and after the collision should be the same. Mathematically, we can write:
m1v1 + m2v2 = (m1 + m2)v
where v1 and v2 are the velocities of m1 and m2 before the collision, v is the velocity of the combined masses after the collision, and m1 and m2 are the masses of the two objects.
Solving for v, we get:
v = (m1v1 + m2v2)/(m1 + m2)
Coefficient of restitution
The coefficient of restitution is a measure of the elasticity of the collision. It is a ratio of the relative velocity of separation to the relative velocity of approach between two objects after they collide.
Mathematically, we can write:
e = (v2' - v1')/(v1 - v2)
where e is the coefficient of restitution, v1 and v2 are the velocities of the two objects before the collision, and v1' and v2' are the velocities of the two objects after the collision.
In this case, since both masses travel together with the same velocity after the collision, v1' = v2' = v. Therefore, the coefficient of restitution can be written as:
e = (v - v1)/(v1 - 0)
where v1 is the velocity of m1 before the collision.
Solving for e, we get:
e = 0
Therefore, the correct answer is option D, 0.
We have two masses, m1 and m2, where m1 is travelling with a uniform velocity of 5 m/s along a line and m2 is stationary.
Collision occurs
When the two masses collide, there is a transfer of momentum between them. We can use the conservation of momentum principle to determine the velocity of the two masses after the collision.
Conservation of momentum
According to the conservation of momentum principle, the total momentum of the system before and after the collision should be the same. Mathematically, we can write:
m1v1 + m2v2 = (m1 + m2)v
where v1 and v2 are the velocities of m1 and m2 before the collision, v is the velocity of the combined masses after the collision, and m1 and m2 are the masses of the two objects.
Solving for v, we get:
v = (m1v1 + m2v2)/(m1 + m2)
Coefficient of restitution
The coefficient of restitution is a measure of the elasticity of the collision. It is a ratio of the relative velocity of separation to the relative velocity of approach between two objects after they collide.
Mathematically, we can write:
e = (v2' - v1')/(v1 - v2)
where e is the coefficient of restitution, v1 and v2 are the velocities of the two objects before the collision, and v1' and v2' are the velocities of the two objects after the collision.
In this case, since both masses travel together with the same velocity after the collision, v1' = v2' = v. Therefore, the coefficient of restitution can be written as:
e = (v - v1)/(v1 - 0)
where v1 is the velocity of m1 before the collision.
Solving for e, we get:
e = 0
Therefore, the correct answer is option D, 0.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer?
Question Description
A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer?.
A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer?.
Solutions for A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A mass 1 m of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with astationary mass m2 of 1000 kg. After the collision, both the masses travel together with thesame velocity. The coefficient of restitution isa)0.6b)0.1c)0.01d)0Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
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