# 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 |
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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
4. none of these

Subtopic:  Concept of Work |
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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 is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that
a. its velocity is constant
b. its acceleration is constant
c. its kinetic energy is constant
d. it moves in a circular path
Choose the correct option:
1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. All of these

Subtopic:  Concept of Work |
62%
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Consider two observers moving with respect to each other at a speed v along a straight line. They observe a block of mass m moving a distance I on a rough surface. The following quantities will be same as observed by the two observers

1. kinetic energy of the block at time t

2. work done by friction

3. total work done on the block

4. acceleration of the block

Subtopic:  Concept of Work |
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You lift a suitcase from the floor and keep it on a table. The work done by you on the suitcase does not depend on:

 a. the path is taken by the suitcase b. the time is taken by you in doing so c. the weight of the suitcase d. your weight

Choose the correct option:

 1 (a), (b) and (d) 2 (b), (c) and (d) 3 (a), (c) and (d) 4 all of these

Subtopic:  Gravitational Potential Energy |
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No work is done by a force on an object if:

 a. the force is always perpendicular to its velocity. b. the force is always perpendicular to its acceleration. c. the object is stationary but the point of application of the force moves on the object. d. the object moves in such a way that the point of application of the force remains fixed.

Choose the correct option:

 1 (a), (b), (c) 2 (a), (c), (d) 3 (b), (c), (d) 4 all of the above

Subtopic:  Concept of Work |
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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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