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 |
 83%
From NCERT
AIPMT - 2005
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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 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 |
 75%
From NCERT
AIPMT - 1998
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A force \(F\) acting on an object varies with distance \(x\) as shown below:

The force is in Newton and \(x\) is in meters. The work done by the force in moving the object from \(x = 0\) to \(x = 6\) m is:

1. \(18.0\) J 2. \(13.5\) J
3. \(4.5\) J 4. \(9.0\) J
Subtopic:  Work Done by Variable Force |
 91%
From NCERT
AIPMT - 2005
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A ball is thrown vertically upward. It has a speed of 10m/sec when it has reached one-half of its maximum height. How high does the ball rise? Take g = 10 m/s2:

1. 5m

2. 15m

3. 10 m

4. 20 m

Subtopic:  Work Energy Theorem |
 71%
From NCERT
AIPMT - 2005
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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 |
 55%
From NCERT
AIPMT - 1999
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A particle of mass m1 is moving with a velocity v1 and another particle of mass m2 is moving with a velocity v2. Both of them have the same momentum, but their kinetic energies are E1 and E2 respectively. If m1 > m2 then: 

1. E1E2=m1m2

2. E1>E2

3. E1=E2

4. E1<E2

Subtopic:  Concept of Work |
 72%
From NCERT
AIPMT - 2004
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A stone is tied to a string of length 'l' is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed 'u'. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is:

1. u2g

2. uu22g

3. 2 g

4. 2(u2g)

Subtopic:  Work Energy Theorem |
From NCERT
AIPMT - 2004
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A mass of \(0.5\) kg moving with a speed of \(1.5\) m/s on a horizontal smooth surface, collides with a nearly weightless spring with force constant \(k=50\) N/m. The maximum compression of the spring would be:
           
1. \(0.12\) m
2. \(1.5\) m
3. \(0.5\) m
4. \(0.15\) m

Subtopic:  Elastic Potential Energy |
 81%
From NCERT
AIPMT - 2004
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