If x = 3 -4t2 + t3, then work done in the first 4s will be:
(Mass of the particle is 3 gram)
1.  384 mJ
2.  168 mJ
3.  192 mJ
4.  None of the above

Subtopic:  Work Energy Theorem |
 52%
From NCERT
AIPMT - 1998
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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 |
 89%
From NCERT
AIPMT - 1998
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A ball is dropped from a height of \(5\) m. If it rebounds up to a height of \(1.8\) m, then the ratio of velocities of the ball after and before the rebound will be:
1. 35

2. 25

3. 15

4. 45 

Subtopic:  Conservation of Mechanical Energy |
 74%
From NCERT
AIPMT - 1998
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The kinetic energy of a person is just half of the kinetic energy of a boy whose mass is just half of that person. If the person increases his speed by \(1~\text{m/s},\) then his ​​​​​​​kinetic energy equals to that of the boy, then the initial speed of the person was:
1. \(\left( \sqrt{2}+1 \right)~\text{m/s}\)
2. \(\left( 2+\sqrt{2} \right)~\text{m/s}\)
3. \(2\left( 2+\sqrt{2} \right)~\text{m/s}\)
4. none of the above

Subtopic:  Concept of Work |
 54%
From NCERT
AIPMT - 1999
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A particle projected with velocity 'u' makes an angle θ with respect to horizontal. Now it breaks in two identical parts at highest point of trajectory. If one part retraces its path, then velocity of the other part is:
1. 3u cos θ
2. 2u cos θ
3. u cos θ
4. u

Subtopic:  Collisions |
From NCERT
AIPMT - 1999
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If two springs, A and B (KA = 2 KB), are stretched by the same suspended weights, then the ratio of work done in stretching is equal to:
1.  1 : 2
2.  2 : 1
3.  1 : 1
4.  1 : 4

Subtopic:  Elastic Potential Energy |
 62%
From NCERT
AIPMT - 1999
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When a spring is subjected to 4 N force, its length is a metre and if 5 N is applied, its length is b metre. If 9 N is applied, its length will be:

1.  4b – 3a

2.  5b – a

3.  5b – 4a

4.  5b – 2a

Subtopic:  Elastic Potential Energy |
 69%
From NCERT
AIPMT - 1999
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The bob of a simple pendulum having length l, is displaced from the mean position to an angular position θ with respect to vertical. If it is released, then the velocity of the bob at the lowest position will be:

1. 2gl(1-cosθ)

2. 2gl(1+cos θ)

3. 2gl cosθ

4. 2gl

Subtopic:  Work Energy Theorem |
 79%
From NCERT
AIPMT - 2000
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If \(\vec{F} = (60\hat{i} + 15\hat{j}-3\hat{k})\) N and \(\vec{v} = (2\hat{i} - 4\hat{j}+5\hat{k})\) m/s, then instantaneous power is:
1. \(195\) watt
2. \(45\) watt
3. \(75\) watt
4. \(100\) watt

Subtopic:  Power |
 87%
From NCERT
AIPMT - 2000
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A child is sitting on a swing. Its minimum and maximum heights from the ground are \(0.75\) m and \(2\) m, respectively. Its maximum speed will be: (Take \(g=10\) m/s2)
1. \(10\) m/s
2. \(5\) m/s
3. \(8\) m/s
4. \(15\) m/s

Subtopic:  Work Energy Theorem |
 74%
From NCERT
AIPMT - 2001
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