NEET Exam > NEET Questions > The change of momentum in each ball of mass 6...
Start Learning for Free
The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed is
- a)0.98 kg-m/s
- b)0.73 kg-m/s
- c)0.48 kg-m/s
- d)0.22 kg-m/s
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The change of momentum in each ball of mass 60 gm, moving in opposite ...
Before collision :---> both ball comes closer with velocity of u1 vector in i cap and u2 vector in -i cap respectively
After collision :--> both balls go far away with velocity of v1 vector in -i cap and v2 vector in i cap respectively
And both balls have same masses = 0.06 kg
Now, u1=4 i cap , u2= -4 i cap , v1= -4 i cap , v2=4 i cap
So,
Impulse imparted on each ball = change in momentum of each ball
Therefore, delta P = m (v1 vector - u1 vector)
delta P = 0.06 (-4 i cap - 4 i cap)
delta P = 0.48 kg m/s ...ans...
$$Hope it's help... $$
After collision :--> both balls go far away with velocity of v1 vector in -i cap and v2 vector in i cap respectively
And both balls have same masses = 0.06 kg
Now, u1=4 i cap , u2= -4 i cap , v1= -4 i cap , v2=4 i cap
So,
Impulse imparted on each ball = change in momentum of each ball
Therefore, delta P = m (v1 vector - u1 vector)
delta P = 0.06 (-4 i cap - 4 i cap)
delta P = 0.48 kg m/s ...ans...
$$Hope it's help... $$
Free Test
FREE
| Start Free Test |
Community Answer
The change of momentum in each ball of mass 60 gm, moving in opposite ...
Given:
Mass of each ball, m = 60 g = 0.06 kg
Initial velocity of the first ball, u1 = 4 m/s
Initial velocity of the second ball, u2 = -4 m/s (opposite direction)
Final velocity of both the balls after collision, v1 = v2 = 4 m/s (rebound with same speed)
To find: Change in momentum of each ball
Solution:
1. Momentum before collision:
Momentum of the first ball, p1 = m × u1 = 0.06 × 4 = 0.24 kg m/s (to the right)
Momentum of the second ball, p2 = m × u2 = 0.06 × (-4) = -0.24 kg m/s (to the left)
2. Momentum after collision:
Since the balls collide and rebound with the same speed, the direction of momentum for each ball gets reversed.
Momentum of the first ball, p1' = m × v1 = 0.06 × 4 = 0.24 kg m/s (to the left)
Momentum of the second ball, p2' = m × v2 = 0.06 × (-4) = -0.24 kg m/s (to the right)
3. Change in momentum:
The change in momentum is given by the difference between momentum before and after collision.
Change in momentum of the first ball, Δp1 = p1' - p1 = -2 × 0.24 = -0.48 kg m/s (to the left)
Change in momentum of the second ball, Δp2 = p2' - p2 = 2 × 0.24 = 0.48 kg m/s (to the right)
4. Total change in momentum:
The total change in momentum for the system of both balls is the sum of individual changes in momentum.
Δp = Δp1 + Δp2 = -0.48 + 0.48 = 0 kg m/s
Therefore, the correct option is (c) 0.48 kg-m/s.
Mass of each ball, m = 60 g = 0.06 kg
Initial velocity of the first ball, u1 = 4 m/s
Initial velocity of the second ball, u2 = -4 m/s (opposite direction)
Final velocity of both the balls after collision, v1 = v2 = 4 m/s (rebound with same speed)
To find: Change in momentum of each ball
Solution:
1. Momentum before collision:
Momentum of the first ball, p1 = m × u1 = 0.06 × 4 = 0.24 kg m/s (to the right)
Momentum of the second ball, p2 = m × u2 = 0.06 × (-4) = -0.24 kg m/s (to the left)
2. Momentum after collision:
Since the balls collide and rebound with the same speed, the direction of momentum for each ball gets reversed.
Momentum of the first ball, p1' = m × v1 = 0.06 × 4 = 0.24 kg m/s (to the left)
Momentum of the second ball, p2' = m × v2 = 0.06 × (-4) = -0.24 kg m/s (to the right)
3. Change in momentum:
The change in momentum is given by the difference between momentum before and after collision.
Change in momentum of the first ball, Δp1 = p1' - p1 = -2 × 0.24 = -0.48 kg m/s (to the left)
Change in momentum of the second ball, Δp2 = p2' - p2 = 2 × 0.24 = 0.48 kg m/s (to the right)
4. Total change in momentum:
The total change in momentum for the system of both balls is the sum of individual changes in momentum.
Δp = Δp1 + Δp2 = -0.48 + 0.48 = 0 kg m/s
Therefore, the correct option is (c) 0.48 kg-m/s.
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 change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer?
Question Description
The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer?.
The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer? 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 change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The change of momentum in each ball of mass 60 gm, moving in opposite directions with speeds 4 m/s collides and rebounds with the same speed isa)0.98 kg-m/sb)0.73 kg-m/sc)0.48 kg-m/sd)0.22 kg-m/sCorrect answer is option 'C'. Can you explain this answer? 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