A bicyclist comes to a skidding stop in \(10\) m. During this process, the force on the bicycle due to the road is \(200\) N is directly opposed to the motion. The work done by the cycle on the road is:

1. \(+2000\) J 2. \(-200\) J
3. zero 4. \(-20000\) J

Subtopic:  Work done by constant force |
 58%
From NCERT
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The potential energy of a system increases if work is done:

1. by the system against a conservative force.

2. by the system against a non-conservative force.

3. upon the system by a conservative force.

4. upon the system by a non-conservative force.

Subtopic:  Potential Energy: Relation with Force |
 59%
From NCERT
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A bolt of mass 0.3 kg falls from the ceiling of an elevator moving down at a uniform speed of 7 m/s. It hits the floor of the elevator (length of the elevator = 3 m) and does not rebound. What is the heat produced by the impact?

1.  8.82 J

2.  7.65 J

3.  7.01 J

4.  7.98 J

Subtopic:  Gravitational Potential Energy |
 59%
From NCERT
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A body of mass 0.5 kg travels in a straight line with velocity v=ax3/where a=5 m-1/2 s-1. What is the work done by the net force during its displacement from x = 0 to x = 2 m?

1. 50 J

2. 45 J

3. 68 J

4. 90 J

Subtopic:  Work Energy Theorem |
 63%
From NCERT
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The bob of a pendulum is released from a horizontal position. If the length of the pendulum is 1.5 m, what is the speed with which the bob arrives at the lowermost point, given that it dissipated 5% of its initial energy against air resistance?

1. 2.5 m/s

2. 3.9 m/s

3. 4.7 m/s

4. 5.3 m/s

Subtopic:  Conservation of Mechanical Energy |
 57%
From NCERT
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A mass is performing a vertical circular motion (see figure.) If the average velocity of the particle is increased, then at which point the string will break?

1. A 2. B
3. C 4. D
Subtopic:  Non Uniform Vertical Circular Motion |
 79%
From NCERT
AIPMT - 2000
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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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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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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 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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