# In a ballistics demonstration, a police officer fires a bullet of mass $$50.0$$ g with speed $$200$$ m/s on soft plywood of thickness $$2.00$$ cm. The bullet emerges with only $$\text{10%}$$ of its initial kinetic energy. The emergent speed of the bullet is: 1. $$0$$ 2. $$53.2$$ m/s 3. $$63.2$$ m/s 4. $$6.32$$ m/s

Subtopic: Â Work Energy Theorem |
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An elevator can carry a maximum load of $$1800$$ kg (elevator + passengers) is moving up with a constant speed of $$2$$ m/s. The frictional force opposing the motion is $$4000$$ N. The minimum power delivered by the motor to the elevator is:
1. $$59000$$ W
2. $$44000$$ W
3. $$11000$$ W
4. $$22000$$ W

Subtopic: Â Power |
Â 73%
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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. $\frac{3}{5}$

2. $\frac{2}{5}$

3. $\frac{1}{5}$

4. $\frac{4}{5}$

Subtopic: Â Conservation of Mechanical Energy |
Â 74%
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AIPMT - 1998
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The work done by all the forces (external and internal) on a system equals the change in:

 1 total energy 2 kinetic energy 3 potential energy 4 none of these
Subtopic: Â Work Energy Theorem |
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A block of $$1$$ kg is released from the top of a smooth curve $$\mathrm{AB},$$ and then it encounters a rough surface $$\mathrm{BC},$$ coming to rest at $$\mathrm{C}.$$ The work done by friction is:
(take $$g=10$$ m/s2)

 1 $$25$$ J 2 $$50$$ J 3 $$-25$$ J 4 $$-50$$ J
Subtopic: Â Work Energy Theorem |
Â 70%
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The minimum speed that a simple pendulum's bob should be given so that it rises to a level where its string makes $$60^\circ$$ with the vertical is:

1. $$\sqrt{2gL}$$
2. $$\sqrt{2gL}$$ $$\text{cos} 60^\circ$$
3. $$\sqrt{2g(L-L~\text{cos}60^\circ)}$$
4. $$\sqrt{2gL}$$ $$\text{sin} 60^\circ$$

Subtopic: Â Gravitational Potential Energy |
Â 83%
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A body of mass $$0.5$$ kg travels in a straight line with velocity $$v=ax^{3/2}$$ where $$a=5~\mathrm{m^{-1/2}s^{-1}}$$. The work done by the net force during its displacement from $$x=0$$ m to $$x=2$$ m is:
1. $$15$$ J
2. $$50$$ J
3. $$10$$ J
4. $$100$$ J

Subtopic: Â Work Done by Variable Force |
Â 66%
From NCERT
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Two inclined frictionless tracks, one gradual and the other steep meet at $$A$$ from where two stones are allowed to slide down from rest, one on each track as shown in the figure.

Which of the following statement is correct?

 1 Both stones reach the bottom at the same time but not at the same speed. 2 Both the stones reach the bottom with the same speed and stone I reaches the bottom earlier than stone II. 3 Both the stones reach the bottom with the same speed and stone II reaches the bottom earlier than stone I. 4 Both stones reach the bottom at different times and at different speeds.
Subtopic: Â Gravitational Potential Energy |
Â 62%
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During an inelastic collision between two bodies, which of the following quantities always remain conserved?

 1 total kinetic energy 2 total mechanical energy 3 total linear momentum 4 speed of each body
Subtopic: Â Collisions |
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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: Â Work done by constant force |
Â 58%
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