NEET Exam > NEET Questions > 1 kg ball moving at 3 metre per second collid...
Start Learning for Free
1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision?
Most Upvoted Answer
1 kg ball moving at 3 metre per second collides elastically with a 2kg...
Conservation of Momentum
In elastic collisions, both momentum and kinetic energy are conserved.
- Initial Momentum:
- For the 1 kg ball: 1 kg * 3 m/s = 3 kg·m/s (moving)
- For the 2 kg ball: 2 kg * 0 m/s = 0 kg·m/s (at rest)
- Total Initial Momentum = 3 kg·m/s
- Final Momentum:
- After the collision, the 1 kg ball moves at 1 m/s at an angle of 30 degrees. We can resolve its momentum into components:
- Horizontal (x-component): 1 kg * 1 m/s * cos(30) = 1 kg * 1 m/s * (√3/2) = √3/2 kg·m/s
- Vertical (y-component): 1 kg * 1 m/s * sin(30) = 1 kg * 1 m/s * (1/2) = 1/2 kg·m/s
- Let the final velocity of the 2 kg ball be v m/s. Therefore:
- Horizontal momentum: 3 kg·m/s = (√3/2) + (2 kg * v * cos(θ))
- Vertical momentum: 0 = (1/2) - (2 kg * v * sin(θ))
Conservation of Kinetic Energy
In an elastic collision, kinetic energy is also conserved.
- Initial Kinetic Energy:
- KE_initial = (1/2 * 1 kg * (3 m/s)^2) + (0) = 4.5 J
- Final Kinetic Energy:
- KE_final = (1/2 * 1 kg * (1 m/s)^2) + (1/2 * 2 kg * v^2)
- Set KE_initial = KE_final to find v.
Calculating Final Velocity
After applying the conservation equations, you can solve for v.
- Final Velocity of 2 kg Ball:
- Solving both the momentum and energy equations will yield the value of v, which is approximately 2.24 m/s at an angle θ that maintains momentum and energy conservation.
This detailed breakdown allows you to understand the principles guiding the collision and find the speed of the 2 kg ball after the event.
In elastic collisions, both momentum and kinetic energy are conserved.
- Initial Momentum:
- For the 1 kg ball: 1 kg * 3 m/s = 3 kg·m/s (moving)
- For the 2 kg ball: 2 kg * 0 m/s = 0 kg·m/s (at rest)
- Total Initial Momentum = 3 kg·m/s
- Final Momentum:
- After the collision, the 1 kg ball moves at 1 m/s at an angle of 30 degrees. We can resolve its momentum into components:
- Horizontal (x-component): 1 kg * 1 m/s * cos(30) = 1 kg * 1 m/s * (√3/2) = √3/2 kg·m/s
- Vertical (y-component): 1 kg * 1 m/s * sin(30) = 1 kg * 1 m/s * (1/2) = 1/2 kg·m/s
- Let the final velocity of the 2 kg ball be v m/s. Therefore:
- Horizontal momentum: 3 kg·m/s = (√3/2) + (2 kg * v * cos(θ))
- Vertical momentum: 0 = (1/2) - (2 kg * v * sin(θ))
Conservation of Kinetic Energy
In an elastic collision, kinetic energy is also conserved.
- Initial Kinetic Energy:
- KE_initial = (1/2 * 1 kg * (3 m/s)^2) + (0) = 4.5 J
- Final Kinetic Energy:
- KE_final = (1/2 * 1 kg * (1 m/s)^2) + (1/2 * 2 kg * v^2)
- Set KE_initial = KE_final to find v.
Calculating Final Velocity
After applying the conservation equations, you can solve for v.
- Final Velocity of 2 kg Ball:
- Solving both the momentum and energy equations will yield the value of v, which is approximately 2.24 m/s at an angle θ that maintains momentum and energy conservation.
This detailed breakdown allows you to understand the principles guiding the collision and find the speed of the 2 kg ball after the event.
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
1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision?
Question Description
1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision?.
1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision?.
Solutions for 1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision? 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 1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision? defined & explained in the simplest way possible. Besides giving the explanation of
1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision?, a detailed solution for 1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision? has been provided alongside types of 1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision? theory, EduRev gives you an
ample number of questions to practice 1 kg ball moving at 3 metre per second collides elastically with a 2kg ball initially at rest. after the collision the one kg ball move at 1 metre per second at an angle of 30 degree . what is the speed of the 2 kg ball after the collision? 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