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 |
59%
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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 |
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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 |
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A heavy stone is thrown from a cliff of height $$h$$ in a given direction. The speed with which it hits the ground:

 a. must depend on the speed of projection b. must be larger than the speed of projection c. must be independent of the speed of projection d. may be smaller than the speed of projection

Choose the correct option:

 1 (a) and (b) 2 (b) and (c) 3 (c) and (d) 4 none of these

Subtopic:  Work Energy Theorem |
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The total work done on a particle is equal to the change in its kinetic energy:

 1 always 2 only if the forces acting on it are conservative 3 only if gravitational force alone acts on it 4 only if elastic force alone acts on it

Subtopic:  Work Energy Theorem |
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A particle of mass m is attached to a light string of length I, the other end of which is fixed. Initially, the string is kept horizontal and the particle is given an upward velocity v. The particle is just able to complete a circle.

(a) The string becomes slack when the particle reaches its highest point.

(b) The velocity of the particle becomes zero at the highest point.

(c) The kinetic energy of the ball in its initial position was $$\frac{1}{2}mv^2 = mgl.$$

(d) The particle again passes through the initial position.

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. (a) and (d)

Subtopic:  Work Energy Theorem |
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The kinetic energy of a particle continuously increases with time. Then we can conclude that:

 (a) The resultant force on the particle must be parallel to the velocity at all instants. (b) The resultant force on the particle must be at an angle less than $$90^{\circ}$$ all the time. (c) Its height above the ground level must continuously decrease. (d) The magnitude of its linear momentum is increasing continuously.

Choose the correct option:
1. (a) and (b)
2. (b) and (c)
3. (b) and (d)
4. (c) and (d)

Subtopic:  Work Energy Theorem |
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A block of mass M is hanging over a smooth and light pulley through a light string. The other end of the string is pulled by a constant force F. The kinetic energy of the block increases by 20 J in 1 s.

1. The tension in the string is Mg

2. The tension in the string is F

3. The work done by the tension on the block is 20 J in the above 1 s

4. The work done by the force of gravity is –20 J in tie above 1 s

Subtopic:  Work Energy Theorem |
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