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In an elastic collision in one dimension if a body A collides against the body B of equal mass at rest, then the body A will
- a)moves with the same velocity but in opposite direction
- b)move with twice its initial velocity
- c)moves with the same velocity in the same direction
- d)come to rest.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In an elastic collision in one dimension if a body A collides against ...
Since collision is elastic and mass is same then after velocity exchange A body will stop and B will start moving with A's velocity in the same direction.
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In an elastic collision in one dimension if a body A collides against ...
**Explanation:**
An elastic collision is a collision where both kinetic energy and momentum are conserved. In a one-dimensional elastic collision, the total momentum before the collision is equal to the total momentum after the collision, and the total kinetic energy before the collision is equal to the total kinetic energy after the collision.
In this scenario, body A is colliding with body B, which is initially at rest. Since both bodies have equal mass, we can assume that the collision is head-on, meaning they are moving directly towards each other.
Let's analyze the possible outcomes for body A after the collision:
a) **Moves with the same velocity but in opposite direction**: This option is incorrect because in an elastic collision, the velocity of the colliding bodies after the collision can be different from their initial velocities.
b) **Move with twice its initial velocity**: This option is incorrect because in an elastic collision, the total kinetic energy before and after the collision must be the same. If body A were to move with twice its initial velocity, the total kinetic energy after the collision would be greater than the total kinetic energy before the collision, violating the principle of conservation of kinetic energy.
c) **Moves with the same velocity in the same direction**: This option is incorrect because in a head-on collision, where the two bodies have equal mass, body A would transfer some of its momentum to body B. As a result, body A would slow down after the collision.
d) **Come to rest**: This option is correct because in an elastic collision, the total momentum before and after the collision must be the same. Since body A is colliding with body B at rest, body A will transfer all of its momentum to body B. As a result, body A will come to rest after the collision.
In conclusion, in an elastic collision in one dimension, if body A collides against body B of equal mass at rest, body A will come to rest after the collision.
An elastic collision is a collision where both kinetic energy and momentum are conserved. In a one-dimensional elastic collision, the total momentum before the collision is equal to the total momentum after the collision, and the total kinetic energy before the collision is equal to the total kinetic energy after the collision.
In this scenario, body A is colliding with body B, which is initially at rest. Since both bodies have equal mass, we can assume that the collision is head-on, meaning they are moving directly towards each other.
Let's analyze the possible outcomes for body A after the collision:
a) **Moves with the same velocity but in opposite direction**: This option is incorrect because in an elastic collision, the velocity of the colliding bodies after the collision can be different from their initial velocities.
b) **Move with twice its initial velocity**: This option is incorrect because in an elastic collision, the total kinetic energy before and after the collision must be the same. If body A were to move with twice its initial velocity, the total kinetic energy after the collision would be greater than the total kinetic energy before the collision, violating the principle of conservation of kinetic energy.
c) **Moves with the same velocity in the same direction**: This option is incorrect because in a head-on collision, where the two bodies have equal mass, body A would transfer some of its momentum to body B. As a result, body A would slow down after the collision.
d) **Come to rest**: This option is correct because in an elastic collision, the total momentum before and after the collision must be the same. Since body A is colliding with body B at rest, body A will transfer all of its momentum to body B. As a result, body A will come to rest after the collision.
In conclusion, in an elastic collision in one dimension, if body A collides against body B of equal mass at rest, body A will come to rest after the collision.
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Community Answer
In an elastic collision in one dimension if a body A collides against ...
Ya if masses are equal the velocity get exchanged.
Here body B will move with the initial velocity of A while A remains at rest since B has initial velocity zero
Here body B will move with the initial velocity of A while A remains at rest since B has initial velocity zero
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In an elastic collision in one dimension if a body A collides against the body B of equal mass at rest, then the body A willa)moves with the same velocity but in opposite directionb)move with twice its initial velocityc)moves with the same velocity in the same directiond)come to rest.Correct answer is option 'D'. Can you explain this answer?
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In an elastic collision in one dimension if a body A collides against the body B of equal mass at rest, then the body A willa)moves with the same velocity but in opposite directionb)move with twice its initial velocityc)moves with the same velocity in the same directiond)come to rest.Correct answer is option 'D'. 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 In an elastic collision in one dimension if a body A collides against the body B of equal mass at rest, then the body A willa)moves with the same velocity but in opposite directionb)move with twice its initial velocityc)moves with the same velocity in the same directiond)come to rest.Correct answer is option 'D'. 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 In an elastic collision in one dimension if a body A collides against the body B of equal mass at rest, then the body A willa)moves with the same velocity but in opposite directionb)move with twice its initial velocityc)moves with the same velocity in the same directiond)come to rest.Correct answer is option 'D'. Can you explain this answer?.
In an elastic collision in one dimension if a body A collides against the body B of equal mass at rest, then the body A willa)moves with the same velocity but in opposite directionb)move with twice its initial velocityc)moves with the same velocity in the same directiond)come to rest.Correct answer is option 'D'. 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 In an elastic collision in one dimension if a body A collides against the body B of equal mass at rest, then the body A willa)moves with the same velocity but in opposite directionb)move with twice its initial velocityc)moves with the same velocity in the same directiond)come to rest.Correct answer is option 'D'. 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 In an elastic collision in one dimension if a body A collides against the body B of equal mass at rest, then the body A willa)moves with the same velocity but in opposite directionb)move with twice its initial velocityc)moves with the same velocity in the same directiond)come to rest.Correct answer is option 'D'. Can you explain this answer?.
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