A heavy stone is thrown from a cliff of height $$h$$ with a speed $$v.$$ The stone will hit the ground with maximum speed if it is thrown:

 1 vertically downward 2 vertically upward 3 horizontally 4 the speed does not depend on the initial direction

Subtopic:  Work Energy Theorem |
60%
From NCERT
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Two springs $$\mathrm{A}$$ and $$\mathrm{B}$$ $$(k_A=2k_B)$$ are stretched by applying forces of equal magnitudes at the four ends. If the energy stored in $$\mathrm{A}$$ is $$E,$$ that in $$\mathrm{B}$$ is:
1. $$\frac{E}{2}$$

2. $$2E$$

3. $$E$$

4. $$\frac{E}{4}$$

Subtopic:  Elastic Potential Energy |
57%
From NCERT
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Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is

1. $$\frac{1}{2} \mathrm{kx}^{2}$$

2. $$-\frac{1}{2} \mathrm{kx}^{2}$$

3. $$\frac{1}{4} \mathrm{kx}^{2}$$

4. $$-\frac{1}{4} \mathrm{kx}^{2}$$

Subtopic:  Elastic Potential Energy |
From NCERT
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The negative of the work done by the conservative internal forces on a system equals the change in:
1. total energy
2. kinetic energy
3. potential energy
4. none of these

Subtopic:  Elastic Potential Energy |
71%
From NCERT
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The work done by the external forces on a system equals the change in:
1. total energy
2. kinetic energy
3. potential energy
4. none of these

Subtopic:  Concept of Work |
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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:  Work Energy Theorem |
73%
From NCERT
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__________ of a two-particle system depends only on the separation between the two particles. The most appropriate choice for the blank space in the above sentence is:
1. kinetic energy
2. total mechanical energy
3. potential energy
4. total energy

Subtopic:  Gravitational Potential Energy |
78%
From NCERT
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A small block of mass $$m$$ is kept on a rough inclined surface of inclination $$\theta$$ fixed in an elevator. The elevator goes up with a uniform velocity $$v$$ and the block does not slide on the wedge. The work done by the force of friction on the block in time $$t$$ will be:
1. zero
2. $$mgvt ~cos^2\theta$$
3. $$mgvt ~sin^2\theta$$
4. $$mgvt ~sin2\theta$$

Subtopic:  Concept of Work |
From NCERT
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A block of mass $$m$$ slides down a smooth vertical circular track. During the motion, the block is in:
1. vertical equilibrium
2. horizontal equilibrium
3. radial equilibrium
4. none of these

Subtopic:  Concept of Work |
From NCERT
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A particle is rotated in a vertical circle by connecting it to a string of length I and keeping the other end of the string fixed. The minimum speed of the particle when the string is horizontal for which the particle will complete the circle is

1. $$\sqrt{\mathrm{g} l}$$

2. $$\sqrt{2 \mathrm{~g} l}$$

3. $$\sqrt{3 \mathrm{~g} l}$$

4. $$\sqrt{5 \mathrm{~g} l}$$

Subtopic:  Work Energy Theorem |
From NCERT
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