Two identical balls A and B are moving with velocity +0.5 ms-1 and -0.3 ms-1 respectively. If they collide head on elastically, then their velocities after collision will be:

1. -0.3 ms-1 and 0.5 ms-1

2. +0.5 ms-1 and + 0.3 ms-1

3. -0.4 ms-1 and 0.3 ms-1

4. -0.3 ms-1 and -0.4 ms-1

Subtopic:  Collisions |
 91%
Level 1: 80%+
AIPMT - 1998
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Two equal masses initially moving along the same straight line with velocity \(+4\) m/s and \(-5\) m/s respectively collide elastically. Their respective velocities after the collision will be:

1. \(-5\) m/s and \(+3\) m/s 2. \(+4\) m/s and \(-4\) m/s
3. \(-4\) m/s and \(+4\) m/s 4. \(-5\) m/s and \(+4\) m/s
Subtopic:  Collisions |
 89%
Level 1: 80%+
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A block of mass \(1~\text{kg}\) is given an initial velocity of \(2~\text{m/s}\) towards a \(2~\text{kg}\) block, which is initially at rest. The coefficient of restitution \((e),\) between the blocks, during their collision is \({\Large\frac{1}{2}}.\)

The momentum of the system, as a result of the collision:
1. increases
2. decreases
3. remains constant
4. decreases suddenly and then increases
Subtopic:  Collisions |
 87%
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A bomb of mass 30kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18kg mass is 6ms–1. The kinetic energy of the other mass is:

1. 524 J

2. 256 J

3. 486 J

4. 324 J

Subtopic:  Collisions |
 86%
Level 1: 80%+
AIPMT - 2005
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Two blocks, moving towards each other with velocities \(1~\text{m/s}\) and \(4~\text{m/s}\) collide and come to rest, immediately thereafter. Their masses are in the ratio:
1. \(1:4\) 2. \(4:1\)
3. \(2:1\) 4. \(16:1\)
Subtopic:  Collisions |
 85%
Level 1: 80%+
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A block \((A)\) of mass \(1~\text{kg}\) collides head-on with a stationary block \((B)\) of mass \(2~\text{kg}\) lying on a frictionless horizontal plane. The incoming block \((A)\) has a velocity of \(3~\text{m/s}\) before collision.
                                 
If the coefficient of restitution for the collision is \(e=\dfrac12,\) the final relative speed between the blocks is:
1. \(3~\text{m/s}\)
2. \(2~\text{m/s}\)
3. \(1.5~\text{m/s}\)
4. \(1~\text{m/s}\)
Subtopic:  Collisions |
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A particle of mass \(m\) collides with another particle of mass \(m',\) which is at rest and the combined mass moves with \(10\text{%}\) reduction in velocity. The ratio of the masses is:
1. \(\dfrac{m'}{m}=\dfrac{1}{10}\) 2. \(\dfrac{m'}{m}=\dfrac{1}{9}\)
3. \(\dfrac{m'}{m}=\dfrac{1}{8}\) 4. \(\dfrac{m'}{m}=\dfrac{1}{2}\)
Subtopic:  Collisions |
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Level 1: 80%+
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A bomb of mass \(9~\text{kg},\) initially at rest, explodes into two pieces of masses \(3~\text{kg}\) and \(6~\text{kg}.\) The velocity of mass \(3~\text{kg}\) is \(16~\text{m/s}.\) The kinetic energy of mass \(6~\text{kg}\) in joule is:
1. \(46\)
2. \(384\)
3. \(192\)
4. \(768\)
Subtopic:  Collisions |
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Level 1: 80%+
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A \(5\) kg stationary bomb explodes in three parts with masses in the ratio \(1:1:3\) respectively. If parts having the same mass move in perpendicular directions with velocity \(30\) m/s, then the speed of the bigger part will be:

1. \(10\sqrt{2}~\text{m/s}\) 2. \(\dfrac{10}{\sqrt{2}}~\text{m/s}\)
3. \(13\sqrt{2}~\text{m/s}\) 4. \(\dfrac{15}{\sqrt{2}}~\text{m/s}\)
Subtopic:  Collisions |
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Level 1: 80%+
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A block of mass \(1~\text{kg}\) is given an initial velocity of \(2~\text{m/s}\) towards a \(2~\text{kg}\) block, which is initially at rest. The coefficient of restitution \((e),\) between the blocks, during their collision is \({\Large\frac{1}{2}}.\)

The relative velocity between the blocks, after the collision, has the magnitude:
1. \(2~\text{m/s}\) 2. \(1~\text{m/s}\)
3. \({\Large\frac12}~\text{m/s}\) 4. \({\Large\frac14}~\text{m/s}\)
Subtopic:  Collisions |
 85%
Level 1: 80%+
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